Q: What are the prime factors of the number 462,703,052?

 A: 2, 7, 23, 389, 1847

Why are those the prime factors of the number 462,703,052?

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 462,703,052

462,703,052
Factor Arrows
2231,351,526
Factor Arrows
2115,675,763
Factor Arrows
716,525,109
Factor Arrows
23718,483
Factor Arrows
3891,847

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, 7, 23, 389, 1847

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 23 x 389 x 1,847 = 462,703,052

This can also be written as 22 x 71 x 231 x 3891 x 1,8471 = 462,703,052

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


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