Q: What are the prime factors of the number 232,851,170?

 A: 2, 5, 59, 563, 701

Why are those the prime factors of the number 232,851,170?

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 232,851,170

232,851,170
Factor Arrows
2116,425,585
Factor Arrows
523,285,117
Factor Arrows
59394,663
Factor Arrows
563701

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, 5, 59, 563, 701

We can check our work by multiplying all of the prime factors together: 2 x 5 x 59 x 563 x 701 = 232,851,170

This can also be written as 21 x 51 x 591 x 5631 x 7011 = 232,851,170

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


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