Q: What are the prime factors of the number 111,343,698?

 A: 2, 3, 6185761

Why are those the prime factors of the number 111,343,698?

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 111,343,698

111,343,698
Factor Arrows
255,671,849
Factor Arrows
318,557,283
Factor Arrows
36,185,761

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, 6185761

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 6,185,761 = 111,343,698

This can also be written as 21 x 32 x 6,185,7611 = 111,343,698

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


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