Q: What are the prime factors of the number 711,660,024?

 A: 2, 3, 829, 11923

Why are those the prime factors of the number 711,660,024?

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 711,660,024

711,660,024
Factor Arrows
2355,830,012
Factor Arrows
2177,915,006
Factor Arrows
288,957,503
Factor Arrows
329,652,501
Factor Arrows
39,884,167
Factor Arrows
82911,923

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, 3, 829, 11923

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 829 x 11,923 = 711,660,024

This can also be written as 23 x 32 x 8291 x 11,9231 = 711,660,024

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


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