Q: What are the prime factors of the number 446,325,028?

 A: 2, 23, 71, 68329

Why are those the prime factors of the number 446,325,028?

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 446,325,028

446,325,028
Factor Arrows
2223,162,514
Factor Arrows
2111,581,257
Factor Arrows
234,851,359
Factor Arrows
7168,329

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, 23, 71, 68329

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 71 x 68,329 = 446,325,028

This can also be written as 22 x 231 x 711 x 68,3291 = 446,325,028

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


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