Q: What are the prime factors of the number 121,764,640?

 A: 2, 5, 787, 967

Why are those the prime factors of the number 121,764,640?

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 121,764,640

121,764,640
Factor Arrows
260,882,320
Factor Arrows
230,441,160
Factor Arrows
215,220,580
Factor Arrows
27,610,290
Factor Arrows
23,805,145
Factor Arrows
5761,029
Factor Arrows
787967

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, 787, 967

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 787 x 967 = 121,764,640

This can also be written as 25 x 51 x 7871 x 9671 = 121,764,640

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


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