Q: What are the prime factors of the number 241,152,252?

 A: 2, 3, 11, 103, 17737

Why are those the prime factors of the number 241,152,252?

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 241,152,252

241,152,252
Factor Arrows
2120,576,126
Factor Arrows
260,288,063
Factor Arrows
320,096,021
Factor Arrows
111,826,911
Factor Arrows
10317,737

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, 11, 103, 17737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 103 x 17,737 = 241,152,252

This can also be written as 22 x 31 x 111 x 1031 x 17,7371 = 241,152,252

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


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