Q: What are the prime factors of the number 132,153,440?

 A: 2, 5, 825959

Why are those the prime factors of the number 132,153,440?

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 132,153,440

132,153,440
Factor Arrows
266,076,720
Factor Arrows
233,038,360
Factor Arrows
216,519,180
Factor Arrows
28,259,590
Factor Arrows
24,129,795
Factor Arrows
5825,959

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, 5, 825959

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 825,959 = 132,153,440

This can also be written as 25 x 51 x 825,9591 = 132,153,440

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


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