Q: What are the prime factors of the number 63,012,170?

 A: 2, 5, 13, 19, 97, 263

Why are those the prime factors of the number 63,012,170?

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 63,012,170

63,012,170
Factor Arrows
231,506,085
Factor Arrows
56,301,217
Factor Arrows
13484,709
Factor Arrows
1925,511
Factor Arrows
97263

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, 13, 19, 97, 263

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 19 x 97 x 263 = 63,012,170

This can also be written as 21 x 51 x 131 x 191 x 971 x 2631 = 63,012,170

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


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