Q: What are the prime factors of the number 632,542,042?

 A: 2, 11, 31, 67, 109, 127

Why are those the prime factors of the number 632,542,042?

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 632,542,042

632,542,042
Factor Arrows
2316,271,021
Factor Arrows
1128,751,911
Factor Arrows
31927,481
Factor Arrows
6713,843
Factor Arrows
109127

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, 11, 31, 67, 109, 127

We can check our work by multiplying all of the prime factors together: 2 x 11 x 31 x 67 x 109 x 127 = 632,542,042

This can also be written as 21 x 111 x 311 x 671 x 1091 x 1271 = 632,542,042

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


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