Q: What are the prime factors of the number 342,154,422?

 A: 2, 3, 6336193

Why are those the prime factors of the number 342,154,422?

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 342,154,422

342,154,422
Factor Arrows
2171,077,211
Factor Arrows
357,025,737
Factor Arrows
319,008,579
Factor Arrows
36,336,193

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, 6336193

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 6,336,193 = 342,154,422

This can also be written as 21 x 33 x 6,336,1931 = 342,154,422

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


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