Q: What are the prime factors of the number 115,056,606?

 A: 2, 3, 7, 37, 1511

Why are those the prime factors of the number 115,056,606?

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 115,056,606

115,056,606
Factor Arrows
257,528,303
Factor Arrows
319,176,101
Factor Arrows
72,739,443
Factor Arrows
7391,349
Factor Arrows
755,907
Factor Arrows
371,511

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, 7, 37, 1511

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 7 x 37 x 1,511 = 115,056,606

This can also be written as 21 x 31 x 73 x 371 x 1,5111 = 115,056,606

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


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