Q: What are the prime factors of the number 86,628,370?

 A: 2, 5, 73, 118669

Why are those the prime factors of the number 86,628,370?

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 86,628,370

86,628,370
Factor Arrows
243,314,185
Factor Arrows
58,662,837
Factor Arrows
73118,669

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, 73, 118669

We can check our work by multiplying all of the prime factors together: 2 x 5 x 73 x 118,669 = 86,628,370

This can also be written as 21 x 51 x 731 x 118,6691 = 86,628,370

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


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