Q: What are the prime factors of the number 996,432?

 A: 2, 3, 20759

Why are those the prime factors of the number 996,432?

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 996,432

996,432
Factor Arrows
2498,216
Factor Arrows
2249,108
Factor Arrows
2124,554
Factor Arrows
262,277
Factor Arrows
320,759

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, 20759

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 20,759 = 996,432

This can also be written as 24 x 31 x 20,7591 = 996,432

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


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