Q: What are the prime factors of the number 16,424,464?

 A: 2, 7, 146647

Why are those the prime factors of the number 16,424,464?

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 16,424,464

16,424,464
Factor Arrows
28,212,232
Factor Arrows
24,106,116
Factor Arrows
22,053,058
Factor Arrows
21,026,529
Factor Arrows
7146,647

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, 7, 146647

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 146,647 = 16,424,464

This can also be written as 24 x 71 x 146,6471 = 16,424,464

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


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