Q: What are the prime factors of the number 115,346,300?

 A: 2, 5, 1153463

Why are those the prime factors of the number 115,346,300?

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 115,346,300

115,346,300
Factor Arrows
257,673,150
Factor Arrows
228,836,575
Factor Arrows
55,767,315
Factor Arrows
51,153,463

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, 1153463

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 1,153,463 = 115,346,300

This can also be written as 22 x 52 x 1,153,4631 = 115,346,300

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


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