Q: What are the prime factors of the number 234,440,744?

 A: 2, 17, 131, 13159

Why are those the prime factors of the number 234,440,744?

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 234,440,744

234,440,744
Factor Arrows
2117,220,372
Factor Arrows
258,610,186
Factor Arrows
229,305,093
Factor Arrows
171,723,829
Factor Arrows
13113,159

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, 131, 13159

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 131 x 13,159 = 234,440,744

This can also be written as 23 x 171 x 1311 x 13,1591 = 234,440,744

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


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