Q: What are the prime factors of the number 321,636,042?

 A: 2, 3, 7, 13, 29, 37, 61

Why are those the prime factors of the number 321,636,042?

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 321,636,042

321,636,042
Factor Arrows
2160,818,021
Factor Arrows
353,606,007
Factor Arrows
317,868,669
Factor Arrows
35,956,223
Factor Arrows
7850,889
Factor Arrows
1365,453
Factor Arrows
292,257
Factor Arrows
3761

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, 7, 13, 29, 37, 61

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 13 x 29 x 37 x 61 = 321,636,042

This can also be written as 21 x 33 x 71 x 131 x 291 x 371 x 611 = 321,636,042

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


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