Q: What are the prime factors of the number 16,210,176?

 A: 2, 3, 21107

Why are those the prime factors of the number 16,210,176?

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 16,210,176

16,210,176
Factor Arrows
28,105,088
Factor Arrows
24,052,544
Factor Arrows
22,026,272
Factor Arrows
21,013,136
Factor Arrows
2506,568
Factor Arrows
2253,284
Factor Arrows
2126,642
Factor Arrows
263,321
Factor Arrows
321,107

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, 21107

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 3 x 21,107 = 16,210,176

This can also be written as 28 x 31 x 21,1071 = 16,210,176

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


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