Q: What are the prime factors of the number 306,210,114?

 A: 2, 3, 7, 347177

Why are those the prime factors of the number 306,210,114?

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 306,210,114

306,210,114
Factor Arrows
2153,105,057
Factor Arrows
351,035,019
Factor Arrows
317,011,673
Factor Arrows
72,430,239
Factor Arrows
7347,177

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, 347177

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 7 x 347,177 = 306,210,114

This can also be written as 21 x 32 x 72 x 347,1771 = 306,210,114

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


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