Q: What are the prime factors of the number 203,929,285?

 A: 5, 7, 41, 142111

Why are those the prime factors of the number 203,929,285?

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 203,929,285

203,929,285
Factor Arrows
540,785,857
Factor Arrows
75,826,551
Factor Arrows
41142,111

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:

5, 7, 41, 142111

We can check our work by multiplying all of the prime factors together: 5 x 7 x 41 x 142,111 = 203,929,285

This can also be written as 51 x 71 x 411 x 142,1111 = 203,929,285

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


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