Q: What are the prime factors of the number 109,630,212?

 A: 2, 3, 17, 537403

Why are those the prime factors of the number 109,630,212?

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 109,630,212

109,630,212
Factor Arrows
254,815,106
Factor Arrows
227,407,553
Factor Arrows
39,135,851
Factor Arrows
17537,403

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, 17, 537403

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 17 x 537,403 = 109,630,212

This can also be written as 22 x 31 x 171 x 537,4031 = 109,630,212

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


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