Q: What are the prime factors of the number 83,311,844?

 A: 2, 7, 11, 270493

Why are those the prime factors of the number 83,311,844?

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 83,311,844

83,311,844
Factor Arrows
241,655,922
Factor Arrows
220,827,961
Factor Arrows
72,975,423
Factor Arrows
11270,493

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, 11, 270493

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 11 x 270,493 = 83,311,844

This can also be written as 22 x 71 x 111 x 270,4931 = 83,311,844

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


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