Q: What are the prime factors of the number 344,043,425?

 A: 5, 11, 31, 40357

Why are those the prime factors of the number 344,043,425?

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 344,043,425

344,043,425
Factor Arrows
568,808,685
Factor Arrows
513,761,737
Factor Arrows
111,251,067
Factor Arrows
3140,357

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:

5, 11, 31, 40357

We can check our work by multiplying all of the prime factors together: 5 x 5 x 11 x 31 x 40,357 = 344,043,425

This can also be written as 52 x 111 x 311 x 40,3571 = 344,043,425

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


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