Q: What are the prime factors of the number 83,872,386?

 A: 2, 3, 13, 358429

Why are those the prime factors of the number 83,872,386?

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 83,872,386

83,872,386
Factor Arrows
241,936,193
Factor Arrows
313,978,731
Factor Arrows
34,659,577
Factor Arrows
13358,429

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, 13, 358429

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 358,429 = 83,872,386

This can also be written as 21 x 32 x 131 x 358,4291 = 83,872,386

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


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