Q: What are the prime factors of the number 115,272,560?

 A: 2, 5, 13, 271, 409

Why are those the prime factors of the number 115,272,560?

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 115,272,560

115,272,560
Factor Arrows
257,636,280
Factor Arrows
228,818,140
Factor Arrows
214,409,070
Factor Arrows
27,204,535
Factor Arrows
51,440,907
Factor Arrows
13110,839
Factor Arrows
271409

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, 271, 409

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 13 x 271 x 409 = 115,272,560

This can also be written as 24 x 51 x 131 x 2711 x 4091 = 115,272,560

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


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