Q: What are the prime factors of the number 60,126,300?

 A: 2, 3, 5, 13, 571

Why are those the prime factors of the number 60,126,300?

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 60,126,300

60,126,300
Factor Arrows
230,063,150
Factor Arrows
215,031,575
Factor Arrows
35,010,525
Factor Arrows
31,670,175
Factor Arrows
3556,725
Factor Arrows
3185,575
Factor Arrows
537,115
Factor Arrows
57,423
Factor Arrows
13571

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, 13, 571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 13 x 571 = 60,126,300

This can also be written as 22 x 34 x 52 x 131 x 5711 = 60,126,300

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


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