Q: What are the prime factors of the number 123,313,020?

 A: 2, 3, 5, 2055217

Why are those the prime factors of the number 123,313,020?

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 123,313,020

123,313,020
Factor Arrows
261,656,510
Factor Arrows
230,828,255
Factor Arrows
310,276,085
Factor Arrows
52,055,217

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, 3, 5, 2055217

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 2,055,217 = 123,313,020

This can also be written as 22 x 31 x 51 x 2,055,2171 = 123,313,020

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


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