Q: What are the prime factors of the number 140,322,424?

 A: 2, 11, 1594573

Why are those the prime factors of the number 140,322,424?

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 140,322,424

140,322,424
Factor Arrows
270,161,212
Factor Arrows
235,080,606
Factor Arrows
217,540,303
Factor Arrows
111,594,573

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, 11, 1594573

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 1,594,573 = 140,322,424

This can also be written as 23 x 111 x 1,594,5731 = 140,322,424

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


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