Q: What are the prime factors of the number 19,443,088?

 A: 2, 7, 173599

Why are those the prime factors of the number 19,443,088?

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 19,443,088

19,443,088
Factor Arrows
29,721,544
Factor Arrows
24,860,772
Factor Arrows
22,430,386
Factor Arrows
21,215,193
Factor Arrows
7173,599

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, 7, 173599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 173,599 = 19,443,088

This can also be written as 24 x 71 x 173,5991 = 19,443,088

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


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