Q: What are the prime factors of the number 102,642,771?

 A: 3, 7, 11, 444341

Why are those the prime factors of the number 102,642,771?

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 102,642,771

102,642,771
Factor Arrows
334,214,257
Factor Arrows
74,887,751
Factor Arrows
11444,341

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:

3, 7, 11, 444341

We can check our work by multiplying all of the prime factors together: 3 x 7 x 11 x 444,341 = 102,642,771

This can also be written as 31 x 71 x 111 x 444,3411 = 102,642,771

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


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