Q: What are the prime factors of the number 348,592?

 A: 2, 21787

Why are those the prime factors of the number 348,592?

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 348,592

348,592
Factor Arrows
2174,296
Factor Arrows
287,148
Factor Arrows
243,574
Factor Arrows
221,787

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, 21787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 21,787 = 348,592

This can also be written as 24 x 21,7871 = 348,592

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


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