Q: What are the prime factors of the number 724,017,042?

 A: 2, 3, 7, 30403

Why are those the prime factors of the number 724,017,042?

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 724,017,042

724,017,042
Factor Arrows
2362,008,521
Factor Arrows
3120,669,507
Factor Arrows
340,223,169
Factor Arrows
313,407,723
Factor Arrows
34,469,241
Factor Arrows
31,489,747
Factor Arrows
7212,821
Factor Arrows
730,403

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, 30403

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 7 x 7 x 30,403 = 724,017,042

This can also be written as 21 x 35 x 72 x 30,4031 = 724,017,042

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


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