Prime factors of 1492

The prime factors are: 2, 2, 373
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 1492 divided by 2, 2, 373 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 1492?

The main method of prime factorization is start dividing the number by the any divisible prime numbers until the only numbers left are prime numbers \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).

\(1492\div \color{red}{2} = 746\)
\(746\div \color{red}{2} = 373\)
\(373\div \color{red}{373} = 1\)

Factorize\( (1492) = \) \(2\times 2\times 373\)

Factor Tree of 1492

1492
2746
2373
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: