Q: What are the prime factors of the number 21,434,550?

 A: 2, 3, 5, 142897

Why are those the prime factors of the number 21,434,550?

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 21,434,550

21,434,550
Factor Arrows
210,717,275
Factor Arrows
33,572,425
Factor Arrows
5714,485
Factor Arrows
5142,897

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, 142897

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 142,897 = 21,434,550

This can also be written as 21 x 31 x 52 x 142,8971 = 21,434,550

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


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