Q: What are the prime factors of the number 342,143,432?

 A: 2, 43, 994603

Why are those the prime factors of the number 342,143,432?

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 342,143,432

342,143,432
Factor Arrows
2171,071,716
Factor Arrows
285,535,858
Factor Arrows
242,767,929
Factor Arrows
43994,603

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, 43, 994603

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 43 x 994,603 = 342,143,432

This can also be written as 23 x 431 x 994,6031 = 342,143,432

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


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