Q: What are the prime factors of the number 34,110,528?

 A: 2, 3, 101, 1759

Why are those the prime factors of the number 34,110,528?

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 34,110,528

34,110,528
Factor Arrows
217,055,264
Factor Arrows
28,527,632
Factor Arrows
24,263,816
Factor Arrows
22,131,908
Factor Arrows
21,065,954
Factor Arrows
2532,977
Factor Arrows
3177,659
Factor Arrows
1011,759

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, 101, 1759

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 101 x 1,759 = 34,110,528

This can also be written as 26 x 31 x 1011 x 1,7591 = 34,110,528

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


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