Q: What are the prime factors of the number 116,313,603?

 A: 3, 7, 59, 13411

Why are those the prime factors of the number 116,313,603?

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 116,313,603

116,313,603
Factor Arrows
338,771,201
Factor Arrows
75,538,743
Factor Arrows
7791,249
Factor Arrows
5913,411

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:

3, 7, 59, 13411

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 59 x 13,411 = 116,313,603

This can also be written as 31 x 72 x 591 x 13,4111 = 116,313,603

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


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