Q: What are the prime factors of the number 13,804,182?

 A: 2, 3, 7, 37, 47

Why are those the prime factors of the number 13,804,182?

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 13,804,182

13,804,182
Factor Arrows
26,902,091
Factor Arrows
32,300,697
Factor Arrows
3766,899
Factor Arrows
3255,633
Factor Arrows
385,211
Factor Arrows
712,173
Factor Arrows
71,739
Factor Arrows
3747

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, 7, 37, 47

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 7 x 7 x 37 x 47 = 13,804,182

This can also be written as 21 x 34 x 72 x 371 x 471 = 13,804,182

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


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