Q: What are the prime factors of the number 402,244,432?

 A: 2, 25140277

Why are those the prime factors of the number 402,244,432?

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 402,244,432

402,244,432
Factor Arrows
2201,122,216
Factor Arrows
2100,561,108
Factor Arrows
250,280,554
Factor Arrows
225,140,277

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, 25140277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 25,140,277 = 402,244,432

This can also be written as 24 x 25,140,2771 = 402,244,432

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


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