Q: What are the prime factors of the number 246,732,101?

 A: 7, 11, 17, 26927

Why are those the prime factors of the number 246,732,101?

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 246,732,101

246,732,101
Factor Arrows
735,247,443
Factor Arrows
75,035,349
Factor Arrows
11457,759
Factor Arrows
1726,927

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:

7, 11, 17, 26927

We can check our work by multiplying all of the prime factors together: 7 x 7 x 11 x 17 x 26,927 = 246,732,101

This can also be written as 72 x 111 x 171 x 26,9271 = 246,732,101

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


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