Q: What are the prime factors of the number 102,430,216?

 A: 2, 7, 19, 96269

Why are those the prime factors of the number 102,430,216?

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 102,430,216

102,430,216
Factor Arrows
251,215,108
Factor Arrows
225,607,554
Factor Arrows
212,803,777
Factor Arrows
71,829,111
Factor Arrows
1996,269

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, 7, 19, 96269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 19 x 96,269 = 102,430,216

This can also be written as 23 x 71 x 191 x 96,2691 = 102,430,216

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


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