Q: What are the prime factors of the number 17,019,432?

 A: 2, 3, 236381

Why are those the prime factors of the number 17,019,432?

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 17,019,432

17,019,432
Factor Arrows
28,509,716
Factor Arrows
24,254,858
Factor Arrows
22,127,429
Factor Arrows
3709,143
Factor Arrows
3236,381

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, 236381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 236,381 = 17,019,432

This can also be written as 23 x 32 x 236,3811 = 17,019,432

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


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