Q: What are the prime factors of the number 66,761,716?

 A: 2, 7, 103, 3307

Why are those the prime factors of the number 66,761,716?

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 66,761,716

66,761,716
Factor Arrows
233,380,858
Factor Arrows
216,690,429
Factor Arrows
72,384,347
Factor Arrows
7340,621
Factor Arrows
1033,307

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, 7, 103, 3307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 103 x 3,307 = 66,761,716

This can also be written as 22 x 72 x 1031 x 3,3071 = 66,761,716

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


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