Q: What are the prime factors of the number 76,651,425?

 A: 3, 5, 101, 3373

Why are those the prime factors of the number 76,651,425?

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 76,651,425

76,651,425
Factor Arrows
325,550,475
Factor Arrows
38,516,825
Factor Arrows
51,703,365
Factor Arrows
5340,673
Factor Arrows
1013,373

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, 101, 3373

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 101 x 3,373 = 76,651,425

This can also be written as 32 x 52 x 1011 x 3,3731 = 76,651,425

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


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