Q: What are the prime factors of the number 310,030,047?

 A: 3, 229, 150427

Why are those the prime factors of the number 310,030,047?

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 310,030,047

310,030,047
Factor Arrows
3103,343,349
Factor Arrows
334,447,783
Factor Arrows
229150,427

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:

3, 229, 150427

We can check our work by multiplying all of the prime factors together: 3 x 3 x 229 x 150,427 = 310,030,047

This can also be written as 32 x 2291 x 150,4271 = 310,030,047

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


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