Q: What are the prime factors of the number 332,004,432?

 A: 2, 3, 103, 67153

Why are those the prime factors of the number 332,004,432?

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 332,004,432

332,004,432
Factor Arrows
2166,002,216
Factor Arrows
283,001,108
Factor Arrows
241,500,554
Factor Arrows
220,750,277
Factor Arrows
36,916,759
Factor Arrows
10367,153

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, 103, 67153

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 103 x 67,153 = 332,004,432

This can also be written as 24 x 31 x 1031 x 67,1531 = 332,004,432

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


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