Q: What are the prime factors of the number 824,514?

 A: 2, 3, 131, 1049

Why are those the prime factors of the number 824,514?

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 824,514

824,514
Factor Arrows
2412,257
Factor Arrows
3137,419
Factor Arrows
1311,049

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, 131, 1049

We can check our work by multiplying all of the prime factors together: 2 x 3 x 131 x 1,049 = 824,514

This can also be written as 21 x 31 x 1311 x 1,0491 = 824,514

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


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