Q: What are the prime factors of the number 107,770,453?

 A: 7, 139, 15823

Why are those the prime factors of the number 107,770,453?

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 107,770,453

107,770,453
Factor Arrows
715,395,779
Factor Arrows
72,199,397
Factor Arrows
13915,823

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:

7, 139, 15823

We can check our work by multiplying all of the prime factors together: 7 x 7 x 139 x 15,823 = 107,770,453

This can also be written as 72 x 1391 x 15,8231 = 107,770,453

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


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