Q: What are the prime factors of the number 133,634,720?

 A: 2, 5, 835217

Why are those the prime factors of the number 133,634,720?

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 133,634,720

133,634,720
Factor Arrows
266,817,360
Factor Arrows
233,408,680
Factor Arrows
216,704,340
Factor Arrows
28,352,170
Factor Arrows
24,176,085
Factor Arrows
5835,217

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, 835217

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 835,217 = 133,634,720

This can also be written as 25 x 51 x 835,2171 = 133,634,720

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


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