Q: What are the prime factors of the number 439,866?

 A: 2, 3, 7, 3491

Why are those the prime factors of the number 439,866?

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 439,866

439,866
Factor Arrows
2219,933
Factor Arrows
373,311
Factor Arrows
324,437
Factor Arrows
73,491

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, 3491

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 3,491 = 439,866

This can also be written as 21 x 32 x 71 x 3,4911 = 439,866

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


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