Q: What are the prime factors of the number 771,170,432?

 A: 2, 6024769

Why are those the prime factors of the number 771,170,432?

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 771,170,432

771,170,432
Factor Arrows
2385,585,216
Factor Arrows
2192,792,608
Factor Arrows
296,396,304
Factor Arrows
248,198,152
Factor Arrows
224,099,076
Factor Arrows
212,049,538
Factor Arrows
26,024,769

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, 6024769

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 6,024,769 = 771,170,432

This can also be written as 27 x 6,024,7691 = 771,170,432

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


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