Q: What are the prime factors of the number 16,247,148?

 A: 2, 3, 47, 28807

Why are those the prime factors of the number 16,247,148?

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 16,247,148

16,247,148
Factor Arrows
28,123,574
Factor Arrows
24,061,787
Factor Arrows
31,353,929
Factor Arrows
4728,807

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, 47, 28807

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 47 x 28,807 = 16,247,148

This can also be written as 22 x 31 x 471 x 28,8071 = 16,247,148

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


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