Q: What are the prime factors of the number 109,089,252?

 A: 2, 3, 157, 19301

Why are those the prime factors of the number 109,089,252?

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 109,089,252

109,089,252
Factor Arrows
254,544,626
Factor Arrows
227,272,313
Factor Arrows
39,090,771
Factor Arrows
33,030,257
Factor Arrows
15719,301

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, 157, 19301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 157 x 19,301 = 109,089,252

This can also be written as 22 x 32 x 1571 x 19,3011 = 109,089,252

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


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