Q: What are the prime factors of the number 17,894,922?

 A: 2, 3, 19, 79, 1987

Why are those the prime factors of the number 17,894,922?

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 17,894,922

17,894,922
Factor Arrows
28,947,461
Factor Arrows
32,982,487
Factor Arrows
19156,973
Factor Arrows
791,987

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, 19, 79, 1987

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 79 x 1,987 = 17,894,922

This can also be written as 21 x 31 x 191 x 791 x 1,9871 = 17,894,922

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


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