Q: What are the prime factors of the number 113,035,026?

 A: 2, 3, 13, 1449167

Why are those the prime factors of the number 113,035,026?

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 113,035,026

113,035,026
Factor Arrows
256,517,513
Factor Arrows
318,839,171
Factor Arrows
131,449,167

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, 13, 1449167

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 1,449,167 = 113,035,026

This can also be written as 21 x 31 x 131 x 1,449,1671 = 113,035,026

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


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