Q: What are the prime factors of the number 498,220?

 A: 2, 5, 29, 859

Why are those the prime factors of the number 498,220?

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 498,220

498,220
Factor Arrows
2249,110
Factor Arrows
2124,555
Factor Arrows
524,911
Factor Arrows
29859

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, 5, 29, 859

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 29 x 859 = 498,220

This can also be written as 22 x 51 x 291 x 8591 = 498,220

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


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