Q: What are the prime factors of the number 342,230,112?

 A: 2, 3, 7, 24251

Why are those the prime factors of the number 342,230,112?

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 342,230,112

342,230,112
Factor Arrows
2171,115,056
Factor Arrows
285,557,528
Factor Arrows
242,778,764
Factor Arrows
221,389,382
Factor Arrows
210,694,691
Factor Arrows
33,564,897
Factor Arrows
31,188,299
Factor Arrows
7169,757
Factor Arrows
724,251

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, 7, 24251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 24,251 = 342,230,112

This can also be written as 25 x 32 x 72 x 24,2511 = 342,230,112

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


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