Q: What are the prime factors of the number 18,630,432?

 A: 2, 3, 21563

Why are those the prime factors of the number 18,630,432?

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 18,630,432

18,630,432
Factor Arrows
29,315,216
Factor Arrows
24,657,608
Factor Arrows
22,328,804
Factor Arrows
21,164,402
Factor Arrows
2582,201
Factor Arrows
3194,067
Factor Arrows
364,689
Factor Arrows
321,563

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, 21563

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 21,563 = 18,630,432

This can also be written as 25 x 33 x 21,5631 = 18,630,432

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


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