Q: What are the prime factors of the number 633,152?

 A: 2, 13, 761

Why are those the prime factors of the number 633,152?

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 633,152

633,152
Factor Arrows
2316,576
Factor Arrows
2158,288
Factor Arrows
279,144
Factor Arrows
239,572
Factor Arrows
219,786
Factor Arrows
29,893
Factor Arrows
13761

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, 13, 761

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 13 x 761 = 633,152

This can also be written as 26 x 131 x 7611 = 633,152

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


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