Q: What are the prime factors of the number 65,662,704?

 A: 2, 3, 17, 8941

Why are those the prime factors of the number 65,662,704?

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 65,662,704

65,662,704
Factor Arrows
232,831,352
Factor Arrows
216,415,676
Factor Arrows
28,207,838
Factor Arrows
24,103,919
Factor Arrows
31,367,973
Factor Arrows
3455,991
Factor Arrows
3151,997
Factor Arrows
178,941

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, 17, 8941

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 8,941 = 65,662,704

This can also be written as 24 x 33 x 171 x 8,9411 = 65,662,704

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


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