Q: What are the prime factors of the number 16,723,050?

 A: 2, 3, 5, 111487

Why are those the prime factors of the number 16,723,050?

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 16,723,050

16,723,050
Factor Arrows
28,361,525
Factor Arrows
32,787,175
Factor Arrows
5557,435
Factor Arrows
5111,487

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, 5, 111487

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 111,487 = 16,723,050

This can also be written as 21 x 31 x 52 x 111,4871 = 16,723,050

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


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