Q: What are the prime factors of the number 830,237,076?

 A: 2, 3, 3019, 7639

Why are those the prime factors of the number 830,237,076?

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 830,237,076

830,237,076
Factor Arrows
2415,118,538
Factor Arrows
2207,559,269
Factor Arrows
369,186,423
Factor Arrows
323,062,141
Factor Arrows
3,0197,639

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, 3019, 7639

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3,019 x 7,639 = 830,237,076

This can also be written as 22 x 32 x 3,0191 x 7,6391 = 830,237,076

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


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