Q: What are the prime factors of the number 42,440,450?

 A: 2, 5, 13, 65293

Why are those the prime factors of the number 42,440,450?

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 42,440,450

42,440,450
Factor Arrows
221,220,225
Factor Arrows
54,244,045
Factor Arrows
5848,809
Factor Arrows
1365,293

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, 5, 13, 65293

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 13 x 65,293 = 42,440,450

This can also be written as 21 x 52 x 131 x 65,2931 = 42,440,450

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


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