Q: What are the prime factors of the number 16,874,490?

 A: 2, 3, 5, 43, 103, 127

Why are those the prime factors of the number 16,874,490?

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 16,874,490

16,874,490
Factor Arrows
28,437,245
Factor Arrows
32,812,415
Factor Arrows
5562,483
Factor Arrows
4313,081
Factor Arrows
103127

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, 43, 103, 127

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 43 x 103 x 127 = 16,874,490

This can also be written as 21 x 31 x 51 x 431 x 1031 x 1271 = 16,874,490

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


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