Q: What are the prime factors of the number 240,044,318?

 A: 2, 17, 43, 113, 1453

Why are those the prime factors of the number 240,044,318?

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 240,044,318

240,044,318
Factor Arrows
2120,022,159
Factor Arrows
177,060,127
Factor Arrows
43164,189
Factor Arrows
1131,453

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, 17, 43, 113, 1453

We can check our work by multiplying all of the prime factors together: 2 x 17 x 43 x 113 x 1,453 = 240,044,318

This can also be written as 21 x 171 x 431 x 1131 x 1,4531 = 240,044,318

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


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