Q: What are the prime factors of the number 132,050,048?

 A: 2, 13, 79357

Why are those the prime factors of the number 132,050,048?

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 132,050,048

132,050,048
Factor Arrows
266,025,024
Factor Arrows
233,012,512
Factor Arrows
216,506,256
Factor Arrows
28,253,128
Factor Arrows
24,126,564
Factor Arrows
22,063,282
Factor Arrows
21,031,641
Factor Arrows
1379,357

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, 13, 79357

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 2 x 13 x 79,357 = 132,050,048

This can also be written as 27 x 131 x 79,3571 = 132,050,048

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


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