Q: What are the prime factors of the number 109,445,056?

 A: 2, 7, 244297

Why are those the prime factors of the number 109,445,056?

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 109,445,056

109,445,056
Factor Arrows
254,722,528
Factor Arrows
227,361,264
Factor Arrows
213,680,632
Factor Arrows
26,840,316
Factor Arrows
23,420,158
Factor Arrows
21,710,079
Factor Arrows
7244,297

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, 7, 244297

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 7 x 244,297 = 109,445,056

This can also be written as 26 x 71 x 244,2971 = 109,445,056

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


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