Q: What are the prime factors of the number 136,736,712?

 A: 2, 3, 7, 17, 15959

Why are those the prime factors of the number 136,736,712?

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 136,736,712

136,736,712
Factor Arrows
268,368,356
Factor Arrows
234,184,178
Factor Arrows
217,092,089
Factor Arrows
35,697,363
Factor Arrows
31,899,121
Factor Arrows
7271,303
Factor Arrows
1715,959

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, 7, 17, 15959

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 7 x 17 x 15,959 = 136,736,712

This can also be written as 23 x 32 x 71 x 171 x 15,9591 = 136,736,712

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


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