Q: What are the prime factors of the number 136,740,104?

 A: 2, 29, 607, 971

Why are those the prime factors of the number 136,740,104?

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 136,740,104

136,740,104
Factor Arrows
268,370,052
Factor Arrows
234,185,026
Factor Arrows
217,092,513
Factor Arrows
29589,397
Factor Arrows
607971

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, 29, 607, 971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 29 x 607 x 971 = 136,740,104

This can also be written as 23 x 291 x 6071 x 9711 = 136,740,104

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


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