Q: What are the prime factors of the number 542,670?

 A: 2, 3, 5, 18089

Why are those the prime factors of the number 542,670?

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 542,670

542,670
Factor Arrows
2271,335
Factor Arrows
390,445
Factor Arrows
518,089

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, 5, 18089

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 18,089 = 542,670

This can also be written as 21 x 31 x 51 x 18,0891 = 542,670

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


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