Q: What are the prime factors of the number 113,246,424?

 A: 2, 3, 174763

Why are those the prime factors of the number 113,246,424?

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 113,246,424

113,246,424
Factor Arrows
256,623,212
Factor Arrows
228,311,606
Factor Arrows
214,155,803
Factor Arrows
34,718,601
Factor Arrows
31,572,867
Factor Arrows
3524,289
Factor Arrows
3174,763

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, 174763

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 174,763 = 113,246,424

This can also be written as 23 x 34 x 174,7631 = 113,246,424

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


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