Q: What are the prime factors of the number 534,422,432?

 A: 2, 2239, 7459

Why are those the prime factors of the number 534,422,432?

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 534,422,432

534,422,432
Factor Arrows
2267,211,216
Factor Arrows
2133,605,608
Factor Arrows
266,802,804
Factor Arrows
233,401,402
Factor Arrows
216,700,701
Factor Arrows
2,2397,459

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, 2239, 7459

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2,239 x 7,459 = 534,422,432

This can also be written as 25 x 2,2391 x 7,4591 = 534,422,432

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


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