Q: What are the prime factors of the number 812,548?

 A: 2, 11, 59, 313

Why are those the prime factors of the number 812,548?

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 812,548

812,548
Factor Arrows
2406,274
Factor Arrows
2203,137
Factor Arrows
1118,467
Factor Arrows
59313

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, 11, 59, 313

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 59 x 313 = 812,548

This can also be written as 22 x 111 x 591 x 3131 = 812,548

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


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