Q: What are the prime factors of the number 34,486,788?

 A: 2, 3, 7, 89, 659

Why are those the prime factors of the number 34,486,788?

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 34,486,788

34,486,788
Factor Arrows
217,243,394
Factor Arrows
28,621,697
Factor Arrows
32,873,899
Factor Arrows
7410,557
Factor Arrows
758,651
Factor Arrows
89659

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, 7, 89, 659

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 89 x 659 = 34,486,788

This can also be written as 22 x 31 x 72 x 891 x 6591 = 34,486,788

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


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