Q: What are the prime factors of the number 612,443,224?

 A: 2, 17, 4503259

Why are those the prime factors of the number 612,443,224?

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 612,443,224

612,443,224
Factor Arrows
2306,221,612
Factor Arrows
2153,110,806
Factor Arrows
276,555,403
Factor Arrows
174,503,259

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, 17, 4503259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 4,503,259 = 612,443,224

This can also be written as 23 x 171 x 4,503,2591 = 612,443,224

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


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