Q: What are the prime factors of the number 136,653,239?

 A: 31, 53, 2683

Why are those the prime factors of the number 136,653,239?

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 136,653,239

136,653,239
Factor Arrows
314,408,169
Factor Arrows
31142,199
Factor Arrows
532,683

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:

31, 53, 2683

We can check our work by multiplying all of the prime factors together: 31 x 31 x 53 x 2,683 = 136,653,239

This can also be written as 312 x 531 x 2,6831 = 136,653,239

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


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