Q: What are the prime factors of the number 67,391,536?

 A: 2, 17, 41, 6043

Why are those the prime factors of the number 67,391,536?

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 67,391,536

67,391,536
Factor Arrows
233,695,768
Factor Arrows
216,847,884
Factor Arrows
28,423,942
Factor Arrows
24,211,971
Factor Arrows
17247,763
Factor Arrows
416,043

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, 17, 41, 6043

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 41 x 6,043 = 67,391,536

This can also be written as 24 x 171 x 411 x 6,0431 = 67,391,536

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


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