Q: What are the prime factors of the number 16,460,604?

 A: 2, 3, 173, 881

Why are those the prime factors of the number 16,460,604?

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 16,460,604

16,460,604
Factor Arrows
28,230,302
Factor Arrows
24,115,151
Factor Arrows
31,371,717
Factor Arrows
3457,239
Factor Arrows
3152,413
Factor Arrows
173881

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, 173, 881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 173 x 881 = 16,460,604

This can also be written as 22 x 33 x 1731 x 8811 = 16,460,604

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


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