Q: What are the prime factors of the number 547,998?

 A: 2, 3, 11, 19, 23

Why are those the prime factors of the number 547,998?

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 547,998

547,998
Factor Arrows
2273,999
Factor Arrows
391,333
Factor Arrows
118,303
Factor Arrows
19437
Factor Arrows
1923

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, 11, 19, 23

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 19 x 19 x 23 = 547,998

This can also be written as 21 x 31 x 111 x 192 x 231 = 547,998

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


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