Q: What are the prime factors of the number 16,000,898?

 A: 2, 31, 409, 631

Why are those the prime factors of the number 16,000,898?

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 16,000,898

16,000,898
Factor Arrows
28,000,449
Factor Arrows
31258,079
Factor Arrows
409631

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, 31, 409, 631

We can check our work by multiplying all of the prime factors together: 2 x 31 x 409 x 631 = 16,000,898

This can also be written as 21 x 311 x 4091 x 6311 = 16,000,898

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


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