Q: What are the prime factors of the number 312,052,416?

 A: 2, 3, 13, 59, 163

Why are those the prime factors of the number 312,052,416?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 312,052,416

312,052,416
Factor Arrows
2156,026,208
Factor Arrows
278,013,104
Factor Arrows
239,006,552
Factor Arrows
219,503,276
Factor Arrows
29,751,638
Factor Arrows
24,875,819
Factor Arrows
31,625,273
Factor Arrows
13125,021
Factor Arrows
139,617
Factor Arrows
59163

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 13, 59, 163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 13 x 59 x 163 = 312,052,416

This can also be written as 26 x 31 x 132 x 591 x 1631 = 312,052,416

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 312,052,416:


Ask a Question