Q: What are the prime factors of the number 20,305,068?

 A: 2, 3, 7, 241727

Why are those the prime factors of the number 20,305,068?

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 20,305,068

20,305,068
Factor Arrows
210,152,534
Factor Arrows
25,076,267
Factor Arrows
31,692,089
Factor Arrows
7241,727

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, 241727

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 241,727 = 20,305,068

This can also be written as 22 x 31 x 71 x 241,7271 = 20,305,068

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


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