Q: What are the prime factors of the number 104,022,030?

 A: 2, 3, 5, 7, 495343

Why are those the prime factors of the number 104,022,030?

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 104,022,030

104,022,030
Factor Arrows
252,011,015
Factor Arrows
317,337,005
Factor Arrows
53,467,401
Factor Arrows
7495,343

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, 5, 7, 495343

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 7 x 495,343 = 104,022,030

This can also be written as 21 x 31 x 51 x 71 x 495,3431 = 104,022,030

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


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