Q: What are the prime factors of the number 83,312,220?

 A: 2, 3, 5, 463, 2999

Why are those the prime factors of the number 83,312,220?

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 83,312,220

83,312,220
Factor Arrows
241,656,110
Factor Arrows
220,828,055
Factor Arrows
36,942,685
Factor Arrows
51,388,537
Factor Arrows
4632,999

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, 5, 463, 2999

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 463 x 2,999 = 83,312,220

This can also be written as 22 x 31 x 51 x 4631 x 2,9991 = 83,312,220

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


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