Q: What are the prime factors of the number 16,444,204?

 A: 2, 7, 53, 1583

Why are those the prime factors of the number 16,444,204?

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 16,444,204

16,444,204
Factor Arrows
28,222,102
Factor Arrows
24,111,051
Factor Arrows
7587,293
Factor Arrows
783,899
Factor Arrows
531,583

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, 7, 53, 1583

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 53 x 1,583 = 16,444,204

This can also be written as 22 x 72 x 531 x 1,5831 = 16,444,204

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


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