Q: What are the prime factors of the number 233,461,544?

 A: 2, 17, 41, 149, 281

Why are those the prime factors of the number 233,461,544?

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 233,461,544

233,461,544
Factor Arrows
2116,730,772
Factor Arrows
258,365,386
Factor Arrows
229,182,693
Factor Arrows
171,716,629
Factor Arrows
4141,869
Factor Arrows
149281

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, 17, 41, 149, 281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 41 x 149 x 281 = 233,461,544

This can also be written as 23 x 171 x 411 x 1491 x 2811 = 233,461,544

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


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