Q: What are the prime factors of the number 542,744?

 A: 2, 67843

Why are those the prime factors of the number 542,744?

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 542,744

542,744
Factor Arrows
2271,372
Factor Arrows
2135,686
Factor Arrows
267,843

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, 67843

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 67,843 = 542,744

This can also be written as 23 x 67,8431 = 542,744

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


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