Q: What are the prime factors of the number 820,536?

 A: 2, 3, 179, 191

Why are those the prime factors of the number 820,536?

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 820,536

820,536
Factor Arrows
2410,268
Factor Arrows
2205,134
Factor Arrows
2102,567
Factor Arrows
334,189
Factor Arrows
179191

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, 179, 191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 179 x 191 = 820,536

This can also be written as 23 x 31 x 1791 x 1911 = 820,536

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


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