Q: What are the prime factors of the number 132,503,264?

 A: 2, 19, 217933

Why are those the prime factors of the number 132,503,264?

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 132,503,264

132,503,264
Factor Arrows
266,251,632
Factor Arrows
233,125,816
Factor Arrows
216,562,908
Factor Arrows
28,281,454
Factor Arrows
24,140,727
Factor Arrows
19217,933

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, 19, 217933

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 19 x 217,933 = 132,503,264

This can also be written as 25 x 191 x 217,9331 = 132,503,264

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


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