Q: What are the prime factors of the number 16,103,988?

 A: 2, 3, 149111

Why are those the prime factors of the number 16,103,988?

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 16,103,988

16,103,988
Factor Arrows
28,051,994
Factor Arrows
24,025,997
Factor Arrows
31,341,999
Factor Arrows
3447,333
Factor Arrows
3149,111

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, 149111

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 149,111 = 16,103,988

This can also be written as 22 x 33 x 149,1111 = 16,103,988

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


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