Q: What are the prime factors of the number 67,016,835?

 A: 3, 5, 467, 1063

Why are those the prime factors of the number 67,016,835?

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 67,016,835

67,016,835
Factor Arrows
322,338,945
Factor Arrows
37,446,315
Factor Arrows
32,482,105
Factor Arrows
5496,421
Factor Arrows
4671,063

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, 467, 1063

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 467 x 1,063 = 67,016,835

This can also be written as 33 x 51 x 4671 x 1,0631 = 67,016,835

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


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