Q: What are the prime factors of the number 31,836,008?

 A: 2, 31, 41, 101

Why are those the prime factors of the number 31,836,008?

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 31,836,008

31,836,008
Factor Arrows
215,918,004
Factor Arrows
27,959,002
Factor Arrows
23,979,501
Factor Arrows
31128,371
Factor Arrows
314,141
Factor Arrows
41101

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, 31, 41, 101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 31 x 31 x 41 x 101 = 31,836,008

This can also be written as 23 x 312 x 411 x 1011 = 31,836,008

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


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