Q: What are the prime factors of the number 442,305?

 A: 3, 5, 9829

Why are those the prime factors of the number 442,305?

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 442,305

442,305
Factor Arrows
3147,435
Factor Arrows
349,145
Factor Arrows
59,829

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:

3, 5, 9829

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 9,829 = 442,305

This can also be written as 32 x 51 x 9,8291 = 442,305

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


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