Q: What are the prime factors of the number 609,948?

 A: 2, 3, 16943

Why are those the prime factors of the number 609,948?

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 609,948

609,948
Factor Arrows
2304,974
Factor Arrows
2152,487
Factor Arrows
350,829
Factor Arrows
316,943

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, 16943

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 16,943 = 609,948

This can also be written as 22 x 32 x 16,9431 = 609,948

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


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