Q: What are the prime factors of the number 67,737,705?

 A: 3, 5, 7, 167, 3863

Why are those the prime factors of the number 67,737,705?

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 67,737,705

67,737,705
Factor Arrows
322,579,235
Factor Arrows
54,515,847
Factor Arrows
7645,121
Factor Arrows
1673,863

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, 5, 7, 167, 3863

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 167 x 3,863 = 67,737,705

This can also be written as 31 x 51 x 71 x 1671 x 3,8631 = 67,737,705

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


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