Q: What are the prime factors of the number 115,103,340?

 A: 2, 3, 5, 11, 61, 953

Why are those the prime factors of the number 115,103,340?

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 115,103,340

115,103,340
Factor Arrows
257,551,670
Factor Arrows
228,775,835
Factor Arrows
39,591,945
Factor Arrows
33,197,315
Factor Arrows
5639,463
Factor Arrows
1158,133
Factor Arrows
61953

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, 5, 11, 61, 953

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 11 x 61 x 953 = 115,103,340

This can also be written as 22 x 32 x 51 x 111 x 611 x 9531 = 115,103,340

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


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