Q: What are the prime factors of the number 83,751,828?

 A: 2, 3, 359, 19441

Why are those the prime factors of the number 83,751,828?

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 83,751,828

83,751,828
Factor Arrows
241,875,914
Factor Arrows
220,937,957
Factor Arrows
36,979,319
Factor Arrows
35919,441

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, 359, 19441

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 359 x 19,441 = 83,751,828

This can also be written as 22 x 31 x 3591 x 19,4411 = 83,751,828

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


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