Q: What are the prime factors of the number 128,020,750?

 A: 2, 5, 11, 13, 3581

Why are those the prime factors of the number 128,020,750?

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 128,020,750

128,020,750
Factor Arrows
264,010,375
Factor Arrows
512,802,075
Factor Arrows
52,560,415
Factor Arrows
5512,083
Factor Arrows
1146,553
Factor Arrows
133,581

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, 11, 13, 3581

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 11 x 13 x 3,581 = 128,020,750

This can also be written as 21 x 53 x 111 x 131 x 3,5811 = 128,020,750

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


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