Q: What are the prime factors of the number 87,366,015?

 A: 3, 5, 11, 176497

Why are those the prime factors of the number 87,366,015?

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 87,366,015

87,366,015
Factor Arrows
329,122,005
Factor Arrows
39,707,335
Factor Arrows
51,941,467
Factor Arrows
11176,497

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:

3, 5, 11, 176497

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 11 x 176,497 = 87,366,015

This can also be written as 32 x 51 x 111 x 176,4971 = 87,366,015

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


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