Q: What are the prime factors of the number 422,134,030?

 A: 2, 5, 61, 127, 5449

Why are those the prime factors of the number 422,134,030?

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 422,134,030

422,134,030
Factor Arrows
2211,067,015
Factor Arrows
542,213,403
Factor Arrows
61692,023
Factor Arrows
1275,449

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, 5, 61, 127, 5449

We can check our work by multiplying all of the prime factors together: 2 x 5 x 61 x 127 x 5,449 = 422,134,030

This can also be written as 21 x 51 x 611 x 1271 x 5,4491 = 422,134,030

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


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