Q: What are the prime factors of the number 83,581,780?

 A: 2, 5, 41, 101929

Why are those the prime factors of the number 83,581,780?

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 83,581,780

83,581,780
Factor Arrows
241,790,890
Factor Arrows
220,895,445
Factor Arrows
54,179,089
Factor Arrows
41101,929

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, 5, 41, 101929

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 41 x 101,929 = 83,581,780

This can also be written as 22 x 51 x 411 x 101,9291 = 83,581,780

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


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