Q: What are the prime factors of the number 534,030,300?

 A: 2, 3, 5, 83, 2383

Why are those the prime factors of the number 534,030,300?

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 534,030,300

534,030,300
Factor Arrows
2267,015,150
Factor Arrows
2133,507,575
Factor Arrows
344,502,525
Factor Arrows
314,834,175
Factor Arrows
34,944,725
Factor Arrows
5988,945
Factor Arrows
5197,789
Factor Arrows
832,383

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, 83, 2383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 5 x 83 x 2,383 = 534,030,300

This can also be written as 22 x 33 x 52 x 831 x 2,3831 = 534,030,300

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


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