Q: What are the prime factors of the number 303,045,040?

 A: 2, 5, 71, 53353

Why are those the prime factors of the number 303,045,040?

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 303,045,040

303,045,040
Factor Arrows
2151,522,520
Factor Arrows
275,761,260
Factor Arrows
237,880,630
Factor Arrows
218,940,315
Factor Arrows
53,788,063
Factor Arrows
7153,353

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, 5, 71, 53353

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 71 x 53,353 = 303,045,040

This can also be written as 24 x 51 x 711 x 53,3531 = 303,045,040

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


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