Q: What are the prime factors of the number 115,541,476?

 A: 2, 131, 311, 709

Why are those the prime factors of the number 115,541,476?

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 115,541,476

115,541,476
Factor Arrows
257,770,738
Factor Arrows
228,885,369
Factor Arrows
131220,499
Factor Arrows
311709

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, 131, 311, 709

We can check our work by multiplying all of the prime factors together: 2 x 2 x 131 x 311 x 709 = 115,541,476

This can also be written as 22 x 1311 x 3111 x 7091 = 115,541,476

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


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