Q: What are the prime factors of the number 34,120,044?

 A: 2, 3, 7, 71, 1907

Why are those the prime factors of the number 34,120,044?

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 34,120,044

34,120,044
Factor Arrows
217,060,022
Factor Arrows
28,530,011
Factor Arrows
32,843,337
Factor Arrows
3947,779
Factor Arrows
7135,397
Factor Arrows
711,907

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, 71, 1907

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 71 x 1,907 = 34,120,044

This can also be written as 22 x 32 x 71 x 711 x 1,9071 = 34,120,044

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


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