Q: What are the prime factors of the number 102,025,434?

 A: 2, 3, 7, 2429177

Why are those the prime factors of the number 102,025,434?

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 102,025,434

102,025,434
Factor Arrows
251,012,717
Factor Arrows
317,004,239
Factor Arrows
72,429,177

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, 2429177

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 2,429,177 = 102,025,434

This can also be written as 21 x 31 x 71 x 2,429,1771 = 102,025,434

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


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