Q: What are the prime factors of the number 110,235,033?

 A: 3, 67, 60937

Why are those the prime factors of the number 110,235,033?

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 110,235,033

110,235,033
Factor Arrows
336,745,011
Factor Arrows
312,248,337
Factor Arrows
34,082,779
Factor Arrows
6760,937

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, 67, 60937

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 67 x 60,937 = 110,235,033

This can also be written as 33 x 671 x 60,9371 = 110,235,033

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


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