Q: What are the prime factors of the number 16,254,444?

 A: 2, 3, 167, 8111

Why are those the prime factors of the number 16,254,444?

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 16,254,444

16,254,444
Factor Arrows
28,127,222
Factor Arrows
24,063,611
Factor Arrows
31,354,537
Factor Arrows
1678,111

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, 167, 8111

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 167 x 8,111 = 16,254,444

This can also be written as 22 x 31 x 1671 x 8,1111 = 16,254,444

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


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