Q: What are the prime factors of the number 440,400,142?

 A: 2, 7, 13, 26591

Why are those the prime factors of the number 440,400,142?

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 440,400,142

440,400,142
Factor Arrows
2220,200,071
Factor Arrows
731,457,153
Factor Arrows
74,493,879
Factor Arrows
13345,683
Factor Arrows
1326,591

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, 26591

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 13 x 13 x 26,591 = 440,400,142

This can also be written as 21 x 72 x 132 x 26,5911 = 440,400,142

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


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