Q: What are the prime factors of the number 35,352,508?

 A: 2, 29, 304763

Why are those the prime factors of the number 35,352,508?

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 35,352,508

35,352,508
Factor Arrows
217,676,254
Factor Arrows
28,838,127
Factor Arrows
29304,763

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, 29, 304763

We can check our work by multiplying all of the prime factors together: 2 x 2 x 29 x 304,763 = 35,352,508

This can also be written as 22 x 291 x 304,7631 = 35,352,508

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


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