Q: What are the prime factors of the number 107,640,472?

 A: 2, 19, 708161

Why are those the prime factors of the number 107,640,472?

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 107,640,472

107,640,472
Factor Arrows
253,820,236
Factor Arrows
226,910,118
Factor Arrows
213,455,059
Factor Arrows
19708,161

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, 19, 708161

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 708,161 = 107,640,472

This can also be written as 23 x 191 x 708,1611 = 107,640,472

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


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