Q: What are the prime factors of the number 548,292?

 A: 2, 3, 45691

Why are those the prime factors of the number 548,292?

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 548,292

548,292
Factor Arrows
2274,146
Factor Arrows
2137,073
Factor Arrows
345,691

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, 45691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 45,691 = 548,292

This can also be written as 22 x 31 x 45,6911 = 548,292

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


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