Q: What are the prime factors of the number 120,640,017?

 A: 3, 37, 787, 1381

Why are those the prime factors of the number 120,640,017?

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 120,640,017

120,640,017
Factor Arrows
340,213,339
Factor Arrows
371,086,847
Factor Arrows
7871,381

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:

3, 37, 787, 1381

We can check our work by multiplying all of the prime factors together: 3 x 37 x 787 x 1,381 = 120,640,017

This can also be written as 31 x 371 x 7871 x 1,3811 = 120,640,017

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


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