Q: What are the prime factors of the number 112,602,634?

 A: 2, 53, 181, 5869

Why are those the prime factors of the number 112,602,634?

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 112,602,634

112,602,634
Factor Arrows
256,301,317
Factor Arrows
531,062,289
Factor Arrows
1815,869

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, 53, 181, 5869

We can check our work by multiplying all of the prime factors together: 2 x 53 x 181 x 5,869 = 112,602,634

This can also be written as 21 x 531 x 1811 x 5,8691 = 112,602,634

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


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