Q: What are the prime factors of the number 16,391,280?

 A: 2, 3, 5, 163, 419

Why are those the prime factors of the number 16,391,280?

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 16,391,280

16,391,280
Factor Arrows
28,195,640
Factor Arrows
24,097,820
Factor Arrows
22,048,910
Factor Arrows
21,024,455
Factor Arrows
3341,485
Factor Arrows
568,297
Factor Arrows
163419

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, 5, 163, 419

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 163 x 419 = 16,391,280

This can also be written as 24 x 31 x 51 x 1631 x 4191 = 16,391,280

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


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