Q: What are the prime factors of the number 241,661,450?

 A: 2, 5, 53, 91193

Why are those the prime factors of the number 241,661,450?

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 241,661,450

241,661,450
Factor Arrows
2120,830,725
Factor Arrows
524,166,145
Factor Arrows
54,833,229
Factor Arrows
5391,193

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, 53, 91193

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 53 x 91,193 = 241,661,450

This can also be written as 21 x 52 x 531 x 91,1931 = 241,661,450

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


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