Q: What are the prime factors of the number 520,441,232?

 A: 2, 263, 337, 367

Why are those the prime factors of the number 520,441,232?

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 520,441,232

520,441,232
Factor Arrows
2260,220,616
Factor Arrows
2130,110,308
Factor Arrows
265,055,154
Factor Arrows
232,527,577
Factor Arrows
263123,679
Factor Arrows
337367

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, 263, 337, 367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 263 x 337 x 367 = 520,441,232

This can also be written as 24 x 2631 x 3371 x 3671 = 520,441,232

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


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