Q: What are the prime factors of the number 14,021,550?

 A: 2, 3, 5, 31159

Why are those the prime factors of the number 14,021,550?

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 14,021,550

14,021,550
Factor Arrows
27,010,775
Factor Arrows
32,336,925
Factor Arrows
3778,975
Factor Arrows
5155,795
Factor Arrows
531,159

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, 5, 31159

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 31,159 = 14,021,550

This can also be written as 21 x 32 x 52 x 31,1591 = 14,021,550

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


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