Q: What are the prime factors of the number 14,220,504?

 A: 2, 3, 197507

Why are those the prime factors of the number 14,220,504?

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 14,220,504

14,220,504
Factor Arrows
27,110,252
Factor Arrows
23,555,126
Factor Arrows
21,777,563
Factor Arrows
3592,521
Factor Arrows
3197,507

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, 197507

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 197,507 = 14,220,504

This can also be written as 23 x 32 x 197,5071 = 14,220,504

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


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