Prime factors of 1516

The prime factors are: 2, 2, 379
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 1516 divided by 2, 2, 379 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 1516?

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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).

\(1516\div \color{red}{2} = 758\)
\(758\div \color{red}{2} = 379\)
\(379\div \color{red}{379} = 1\)

Factorize\( (1516) = \) \(2\times 2\times 379\)

Factor Tree of 1516

1516
2758
2379
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: