Q: What are the prime factors of the number 231,144,300?

 A: 2, 3, 5, 59, 1451

Why are those the prime factors of the number 231,144,300?

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 231,144,300

231,144,300
Factor Arrows
2115,572,150
Factor Arrows
257,786,075
Factor Arrows
319,262,025
Factor Arrows
36,420,675
Factor Arrows
32,140,225
Factor Arrows
5428,045
Factor Arrows
585,609
Factor Arrows
591,451

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, 59, 1451

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 59 x 1,451 = 231,144,300

This can also be written as 22 x 33 x 52 x 591 x 1,4511 = 231,144,300

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


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