Q: What are the prime factors of the number 100,030,012?

 A: 2, 181, 138163

Why are those the prime factors of the number 100,030,012?

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 100,030,012

100,030,012
Factor Arrows
250,015,006
Factor Arrows
225,007,503
Factor Arrows
181138,163

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, 181, 138163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 181 x 138,163 = 100,030,012

This can also be written as 22 x 1811 x 138,1631 = 100,030,012

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


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