Q: What are the prime factors of the number 247,263,556?

 A: 2, 73, 571, 1483

Why are those the prime factors of the number 247,263,556?

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 247,263,556

247,263,556
Factor Arrows
2123,631,778
Factor Arrows
261,815,889
Factor Arrows
73846,793
Factor Arrows
5711,483

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, 73, 571, 1483

We can check our work by multiplying all of the prime factors together: 2 x 2 x 73 x 571 x 1,483 = 247,263,556

This can also be written as 22 x 731 x 5711 x 1,4831 = 247,263,556

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


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