Q: What are the prime factors of the number 581,830,752?

 A: 2, 3, 6060737

Why are those the prime factors of the number 581,830,752?

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 581,830,752

581,830,752
Factor Arrows
2290,915,376
Factor Arrows
2145,457,688
Factor Arrows
272,728,844
Factor Arrows
236,364,422
Factor Arrows
218,182,211
Factor Arrows
36,060,737

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, 6060737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 6,060,737 = 581,830,752

This can also be written as 25 x 31 x 6,060,7371 = 581,830,752

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


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