Q: What are the prime factors of the number 16,213,256?

 A: 2, 181, 11197

Why are those the prime factors of the number 16,213,256?

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 16,213,256

16,213,256
Factor Arrows
28,106,628
Factor Arrows
24,053,314
Factor Arrows
22,026,657
Factor Arrows
18111,197

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, 181, 11197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 181 x 11,197 = 16,213,256

This can also be written as 23 x 1811 x 11,1971 = 16,213,256

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


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