Q: What are the prime factors of the number 81,655,668?

 A: 2, 3, 373, 2027

Why are those the prime factors of the number 81,655,668?

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 81,655,668

81,655,668
Factor Arrows
240,827,834
Factor Arrows
220,413,917
Factor Arrows
36,804,639
Factor Arrows
32,268,213
Factor Arrows
3756,071
Factor Arrows
3732,027

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, 373, 2027

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 373 x 2,027 = 81,655,668

This can also be written as 22 x 33 x 3731 x 2,0271 = 81,655,668

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


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