Q: What are the prime factors of the number 111,452,020?

 A: 2, 5, 23, 73, 3319

Why are those the prime factors of the number 111,452,020?

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 111,452,020

111,452,020
Factor Arrows
255,726,010
Factor Arrows
227,863,005
Factor Arrows
55,572,601
Factor Arrows
23242,287
Factor Arrows
733,319

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, 23, 73, 3319

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 23 x 73 x 3,319 = 111,452,020

This can also be written as 22 x 51 x 231 x 731 x 3,3191 = 111,452,020

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


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