Q: What are the prime factors of the number 775,222,432?

 A: 2, 29, 835369

Why are those the prime factors of the number 775,222,432?

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 775,222,432

775,222,432
Factor Arrows
2387,611,216
Factor Arrows
2193,805,608
Factor Arrows
296,902,804
Factor Arrows
248,451,402
Factor Arrows
224,225,701
Factor Arrows
29835,369

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, 29, 835369

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 29 x 835,369 = 775,222,432

This can also be written as 25 x 291 x 835,3691 = 775,222,432

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


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