Q: What are the prime factors of the number 21,061,336?

 A: 2, 233, 11299

Why are those the prime factors of the number 21,061,336?

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 21,061,336

21,061,336
Factor Arrows
210,530,668
Factor Arrows
25,265,334
Factor Arrows
22,632,667
Factor Arrows
23311,299

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, 233, 11299

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 233 x 11,299 = 21,061,336

This can also be written as 23 x 2331 x 11,2991 = 21,061,336

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


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