Q: What are the prime factors of the number 400,240,022?

 A: 2, 7, 13, 2199121

Why are those the prime factors of the number 400,240,022?

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 400,240,022

400,240,022
Factor Arrows
2200,120,011
Factor Arrows
728,588,573
Factor Arrows
132,199,121

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, 7, 13, 2199121

We can check our work by multiplying all of the prime factors together: 2 x 7 x 13 x 2,199,121 = 400,240,022

This can also be written as 21 x 71 x 131 x 2,199,1211 = 400,240,022

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


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