Prime factors of 1510

The prime factors are: 2, 5, 151
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 1510 divided by 2, 5, 151 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 1510?

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

\(1510\div \color{red}{2} = 755\)
\(755\div \color{red}{5} = 151\)
\(151\div \color{red}{151} = 1\)

Factorize\( (1510) = \) \(2\times 5\times 151\)

Factor Tree of 1510

1510
2755
5151
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: