Q: What are the prime factors of the number 996,368?

 A: 2, 62273

Why are those the prime factors of the number 996,368?

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 996,368

996,368
Factor Arrows
2498,184
Factor Arrows
2249,092
Factor Arrows
2124,546
Factor Arrows
262,273

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, 62273

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 62,273 = 996,368

This can also be written as 24 x 62,2731 = 996,368

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


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