Q: What are the prime factors of the number 103,612,856?

 A: 2, 71, 182417

Why are those the prime factors of the number 103,612,856?

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 103,612,856

103,612,856
Factor Arrows
251,806,428
Factor Arrows
225,903,214
Factor Arrows
212,951,607
Factor Arrows
71182,417

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, 71, 182417

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 71 x 182,417 = 103,612,856

This can also be written as 23 x 711 x 182,4171 = 103,612,856

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


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