Q: What are the prime factors of the number 828,860?

 A: 2, 5, 41443

Why are those the prime factors of the number 828,860?

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 828,860

828,860
Factor Arrows
2414,430
Factor Arrows
2207,215
Factor Arrows
541,443

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, 41443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 41,443 = 828,860

This can also be written as 22 x 51 x 41,4431 = 828,860

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


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