Q: What are the prime factors of the number 132,648,336?

 A: 2, 3, 921169

Why are those the prime factors of the number 132,648,336?

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 132,648,336

132,648,336
Factor Arrows
266,324,168
Factor Arrows
233,162,084
Factor Arrows
216,581,042
Factor Arrows
28,290,521
Factor Arrows
32,763,507
Factor Arrows
3921,169

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, 921169

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 921,169 = 132,648,336

This can also be written as 24 x 32 x 921,1691 = 132,648,336

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


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