Q: What are the prime factors of the number 120,044,015?

 A: 5, 7, 13, 23, 11471

Why are those the prime factors of the number 120,044,015?

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 120,044,015

120,044,015
Factor Arrows
524,008,803
Factor Arrows
73,429,829
Factor Arrows
13263,833
Factor Arrows
2311,471

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:

5, 7, 13, 23, 11471

We can check our work by multiplying all of the prime factors together: 5 x 7 x 13 x 23 x 11,471 = 120,044,015

This can also be written as 51 x 71 x 131 x 231 x 11,4711 = 120,044,015

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


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