Q: What are the prime factors of the number 16,620,544?

 A: 2, 16231

Why are those the prime factors of the number 16,620,544?

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 16,620,544

16,620,544
Factor Arrows
28,310,272
Factor Arrows
24,155,136
Factor Arrows
22,077,568
Factor Arrows
21,038,784
Factor Arrows
2519,392
Factor Arrows
2259,696
Factor Arrows
2129,848
Factor Arrows
264,924
Factor Arrows
232,462
Factor Arrows
216,231

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, 16231

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 16,231 = 16,620,544

This can also be written as 210 x 16,2311 = 16,620,544

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


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