Q: What are the prime factors of the number 17,600,208?

 A: 2, 3, 61, 6011

Why are those the prime factors of the number 17,600,208?

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 17,600,208

17,600,208
Factor Arrows
28,800,104
Factor Arrows
24,400,052
Factor Arrows
22,200,026
Factor Arrows
21,100,013
Factor Arrows
3366,671
Factor Arrows
616,011

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, 61, 6011

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 61 x 6,011 = 17,600,208

This can also be written as 24 x 31 x 611 x 6,0111 = 17,600,208

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


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