Q: What are the prime factors of the number 241,620,570?

 A: 2, 3, 5, 317, 941

Why are those the prime factors of the number 241,620,570?

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 241,620,570

241,620,570
Factor Arrows
2120,810,285
Factor Arrows
340,270,095
Factor Arrows
313,423,365
Factor Arrows
34,474,455
Factor Arrows
31,491,485
Factor Arrows
5298,297
Factor Arrows
317941

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, 3, 5, 317, 941

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 317 x 941 = 241,620,570

This can also be written as 21 x 34 x 51 x 3171 x 9411 = 241,620,570

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


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