Q: What are the prime factors of the number 432,022,050?

 A: 2, 3, 5, 960049

Why are those the prime factors of the number 432,022,050?

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 432,022,050

432,022,050
Factor Arrows
2216,011,025
Factor Arrows
372,003,675
Factor Arrows
324,001,225
Factor Arrows
54,800,245
Factor Arrows
5960,049

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, 5, 960049

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 960,049 = 432,022,050

This can also be written as 21 x 32 x 52 x 960,0491 = 432,022,050

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


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