Q: What are the prime factors of the number 1,147,968?

 A: 2, 3, 1993

Why are those the prime factors of the number 1,147,968?

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 1,147,968

1,147,968
Factor Arrows
2573,984
Factor Arrows
2286,992
Factor Arrows
2143,496
Factor Arrows
271,748
Factor Arrows
235,874
Factor Arrows
217,937
Factor Arrows
35,979
Factor Arrows
31,993

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, 1993

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 1,993 = 1,147,968

This can also be written as 26 x 32 x 1,9931 = 1,147,968

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


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