Q: What are the prime factors of the number 996,636?

 A: 2, 3, 23, 157

Why are those the prime factors of the number 996,636?

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 996,636

996,636
Factor Arrows
2498,318
Factor Arrows
2249,159
Factor Arrows
383,053
Factor Arrows
233,611
Factor Arrows
23157

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, 23, 157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 23 x 23 x 157 = 996,636

This can also be written as 22 x 31 x 232 x 1571 = 996,636

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


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