A prime number must have exactly two distinct factors: 1 and itself. Since 1 only has one factor (itself), it does not meet the definition of a prime number. This exclusion is essential because if 1 were considered prime, every number would have infinitely many prime factorizations by multiplying extra 1s, which would make mathematics inconsistent.
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Why is 1 not considered as a prime number?Added:
Most people think one should be a prime number.
After all, it can only be divided by itself, right?
But a prime number has a special rule.
It must have exactly two distinct factors, one and itself. For example, seven has only one and seven.
Now, look at one.
It only has one factor, itself, not two.
Just one. And if one were prime, mathematics would become messy. Every number could have infinitely [music] many prime factorizations by multiplying extra ones.
>> So, that's why one isn't a prime number.
>> [music] >> Prime numbers need exactly two factors, and one has only one. That's why mathematicians keep it outside the prime number group.
If one tiny number can surprise you this much, imagine what other secrets math and science are hiding. Follow for more mind-blowing facts.
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