Q: What are the prime factors of the number 8,963,024?

 A: 2, 7, 79, 1013

Why are those the prime factors of the number 8,963,024?

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 8,963,024

8,963,024
Factor Arrows
24,481,512
Factor Arrows
22,240,756
Factor Arrows
21,120,378
Factor Arrows
2560,189
Factor Arrows
780,027
Factor Arrows
791,013

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, 7, 79, 1013

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 79 x 1,013 = 8,963,024

This can also be written as 24 x 71 x 791 x 1,0131 = 8,963,024

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


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