Q: What are the prime factors of the number 572,368,770?

 A: 2, 3, 5, 173, 36761

Why are those the prime factors of the number 572,368,770?

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 572,368,770

572,368,770
Factor Arrows
2286,184,385
Factor Arrows
395,394,795
Factor Arrows
331,798,265
Factor Arrows
56,359,653
Factor Arrows
17336,761

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, 5, 173, 36761

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 173 x 36,761 = 572,368,770

This can also be written as 21 x 32 x 51 x 1731 x 36,7611 = 572,368,770

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


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