Q: What are the prime factors of the number 65,891,868?

 A: 2, 3, 7, 112061

Why are those the prime factors of the number 65,891,868?

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 65,891,868

65,891,868
Factor Arrows
232,945,934
Factor Arrows
216,472,967
Factor Arrows
35,490,989
Factor Arrows
7784,427
Factor Arrows
7112,061

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, 112061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 112,061 = 65,891,868

This can also be written as 22 x 31 x 72 x 112,0611 = 65,891,868

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


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