Q: What are the prime factors of the number 240,606,443?

 A: 7, 11, 19, 14951

Why are those the prime factors of the number 240,606,443?

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 240,606,443

240,606,443
Factor Arrows
734,372,349
Factor Arrows
113,124,759
Factor Arrows
11284,069
Factor Arrows
1914,951

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:

7, 11, 19, 14951

We can check our work by multiplying all of the prime factors together: 7 x 11 x 11 x 19 x 14,951 = 240,606,443

This can also be written as 71 x 112 x 191 x 14,9511 = 240,606,443

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


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