Q: What are the prime factors of the number 612,446,552?

 A: 2, 79, 241, 4021

Why are those the prime factors of the number 612,446,552?

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 612,446,552

612,446,552
Factor Arrows
2306,223,276
Factor Arrows
2153,111,638
Factor Arrows
276,555,819
Factor Arrows
79969,061
Factor Arrows
2414,021

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, 79, 241, 4021

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 79 x 241 x 4,021 = 612,446,552

This can also be written as 23 x 791 x 2411 x 4,0211 = 612,446,552

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


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