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How do they find this number? By guessing at random. The hash function makes it impossible to predict what the output will be. So, miners guess the mystery number and apply the hash function to the combination of that guessed number and the data in the block. The resulting hash has to start with a pre-established number of zeroes. There's no way of knowing which number will work, because two consecutive integers will give wildly varying results. What's more, there may be several nonces that produce the desired result, or there may be none (in which case the miners keep trying, but with a different block configuration).
In the earliest days of Bitcoin, mining was done with CPUs from normal desktop computers.  Graphics cards, or graphics processing units (GPUs), are more effective at mining than CPUs and as Bitcoin gained popularity, GPUs became dominant.  Eventually, hardware known as an ASIC, which stands for Application-Specific Integrated Circuit, was designed specifically for mining bitcoin.  The first ones were released in 2013 and have been improved upon since, with more efficient designs coming to market.  Mining is competitive and today can only be done profitably with the latest ASICs.  When using CPUs, GPUs, or even the older ASICs, the cost of energy consumption is greater than the revenue generated.
Full clients verify transactions directly by downloading a full copy of the blockchain (over 150 GB As of January 2018).[90] They are the most secure and reliable way of using the network, as trust in external parties is not required. Full clients check the validity of mined blocks, preventing them from transacting on a chain that breaks or alters network rules.[91] Because of its size and complexity, downloading and verifying the entire blockchain is not suitable for all computing devices.
Steve Wright and John Stoll: The Dam Masters Wright, left, and Stoll, pictured at the Rocky Reach Dam, are general manager and head of customer utilities with the Chelan County Public Utility District, respectively. In the past year, miners have made inquiries or requests for power totaling two-thirds as much as the basin’s three county utilities now generate. | Patrick Cavan Brown for Politico Magazine
With the Antminers needing to stay below 38 °C, Mongolia is not the ideal location for a mining facility. It had been above 40 °C for several days when I visited in July. And in the winter, it can fall to –20 °C, cold enough for Bitmain to add insulation to the facilities. Dust is a problem as well, which is why the interior of every warehouse I walk through is veiled in a fine fabric filter.
“It’s a real testament to Bitmain that they’ve been able to fend off the competition they have fended off. But still, you haven’t seen an Intel and a Nvidia go full hog into this sector, and it would be interesting to see what would happen if they did,” says Garrick Hileman, an economic historian at the London School of Economics who compiled a miner survey with the University of Cambridge.
Instead, the ledger is broken up into blocks: discrete transaction logs that contain 10 minutes worth of bitcoin activity apiece. Every block includes a reference to the block that came before it, and you can follow the links backward from the most recent block to the very first block, when bitcoin creator Satoshi Nakamoto conjured the first bitcoins into existence.

Exchanges, however, are a different story. Perhaps the most notable Bitcoin exchange hack was the Tokyo-based MtGox hack in 2014, where 850,000 bitcoins with a value of over $350 million suddenly disappeared from the platform. This doesn’t mean that Bitcoin itself was hacked; it just means that the exchange platform was hacked. Imagine a bank in Iowa is robbed: the USD didn’t get robbed, the bank did.

Regulatory Risk: Bitcoins are a rival to government currency and may be used for black market transactions, money laundering, illegal activities or tax evasion. As a result, governments may seek to regulate, restrict or ban the use and sale of bitcoins, and some already have. Others are coming up with various rules. For example, in 2015, the New York State Department of Financial Services finalized regulations that would require companies dealing with the buy, sell, transfer or storage of bitcoins to record the identity of customers, have a compliance officer and maintain capital reserves. The transactions worth $10,000 or more will have to be recorded and reported.

So that’s Bitcoin mining in a nutshell. It’s called mining because of the fact that this process helps “mine” new Bitcoins from the system. But if you think about it, the mining part is just a by-product of the transaction confirmation process. So the name is a bit misleading, since the main goal of mining is to maintain the ledger in a decentralized manner.

Bitcoin mining is intentionally designed to be resource-intensive and difficult so that the number of blocks found each day by miners remains steady. Individual blocks must contain a proof of work to be considered valid. This proof of work is verified by other Bitcoin nodes each time they receive a block. Bitcoin uses the hashcash proof-of-work function.
David Carlson: The Bitcoin Pioneer | Carlson, a former software engineer, is often credited with starting the basin’s bitcoin boom when he built one of the world’s first large-scale mines in an old furniture store in Wenatchee. “We’re where the blockchain goes from that virtual concept to something that’s real in the world, something that somebody had to build and is actually running,” he says. Here, Carlson stands in front of his latest mining endeavor, a megaproject made up of 24 prefabricated mining “pods.” | Patrick Cavan Brown for Politico Magazine
Legal Gray Area. Major governments have largely remained on the sidelines, and this has created both a sense of potential and apprehension for Bitcoin proponents and critics respectively. Bitcoin isn’t backed by a regulatory agency and a government would technically be ceding power by supporting a decentralized currency. This has been largely officially unaddressed. Bitcoin’s price, however, tends to be very sensitive to any news concerning the US government’s opinion of cryptocurrencies. For example, when the SEC denied the approval of bitcoin-based exchange-traded-products—essentially bitcoin-backed assets on the stock market—in 2017, Bitcoin’s price dropped 18%. Yet while the price and adoption of Bitcoin would be affected by government action, governments are unable to criminalize Bitcoin. In fact, governments such as the United States and China have invested in it at some capacity.

But Bolz, a longtime critic of cryptocurrency, says local concerns go beyond economics: Many residents he hears from aren’t keen to see so much public power sold to an industry whose chief product is, in their minds, of value only to speculators and criminals. “I mean, this is a conservative community, and they’re like, ‘What the hell’s wrong with dollars?’” says Bolz. “If you just went out and did a poll of Chelan County, and asked people, ‘Do you want us to be involved in the bitcoin industry, they would say not only ‘No,’ but ‘Hell no.’”
When you pay someone in bitcoin, you set in motion a process of escalating, energy-intensive complexity. Your payment is basically an electronic message, which contains the complete lineage of your bitcoin, along with data about who you’re sending it to (and, if you choose, a small processing fee). That message gets converted by encryption software into a long string of letters and numbers, which is then broadcast to every miner on the bitcoin network (there are tens of thousands of them, all over the world). Each miner then gathers your encrypted payment message, along with any other payment messages on the network at the time (usually in batches of around 2,000), into what’s called a block. The miner then uses special software to authenticate each payment in the block—verifying, for example, that you owned the bitcoin you’re sending, and that you haven’t already sent that same bitcoin to someone else.

How hard are the puzzles involved in mining? Well, that depends on how much effort is being put into mining across the network. The difficulty of the mining can be adjusted, and is adjusted by the protocol every 2016 blocks, or roughly every 2 weeks. The difficulty adjusts itself with the aim of keeping the rate of block discovery constant. Thus if more computational power is employed in mining, then the difficulty will adjust upwards to make mining harder.  And if computational power is taken off of the network, the opposite happens. The difficulty adjusts downward to make mining easier.

What separated these survivors from the quitters and the double-downers, Carlson concluded, was simply the price of electricity. Survivors either lived in or had moved to places like China or Iceland or Venezuela, where electricity was cheap enough for bitcoin to be profitable. Carlson knew that if he could find a place where the power wasn’t just cheap, but really cheap, he’d be able to mine bitcoin both profitably and on an industrial scale.
Bitcoins may not be ideal for money laundering, because all transactions are public.[50] Authorities, including the European Banking Authority[51] the FBI,[23] and the Financial Action Task Force of the G7[52] have expressed concerns that bitcoin may be used for money laundering. In early 2014, an operator of a U.S. bitcoin exchange, Charlie Shrem, was arrested for money laundering.[53] Subsequently, he was sentenced to two years in prison for "aiding and abetting an unlicensed money transmitting business".[43] Alexander Vinnik, an alleged owner of BTC-e was arrested in Greece July 25 of 2017 on $4 bln money laundering charges for flouting anti-money laundering (AML) laws of the US. A report by UK's Treasury and Home Office named "UK national risk assessment of money laundering and terrorist financing" (2015 October) found that, of the twelve methods examined in the report, bitcoin carries the lowest risk of being used for money laundering, with the most common money laundering method being the banks.[54]
The bitcoin blockchain is a public ledger that records bitcoin transactions.[64] It is implemented as a chain of blocks, each block containing a hash of the previous block up to the genesis block[a] of the chain. A network of communicating nodes running bitcoin software maintains the blockchain.[30]:215–219 Transactions of the form payer X sends Y bitcoins to payee Z are broadcast to this network using readily available software applications.