Q: What are the prime factors of the number 17,943,882?

 A: 2, 3, 11, 61, 4457

Why are those the prime factors of the number 17,943,882?

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 17,943,882

17,943,882
Factor Arrows
28,971,941
Factor Arrows
32,990,647
Factor Arrows
11271,877
Factor Arrows
614,457

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, 11, 61, 4457

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 61 x 4,457 = 17,943,882

This can also be written as 21 x 31 x 111 x 611 x 4,4571 = 17,943,882

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


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