Q: What are the prime factors of the number 115,463,300?

 A: 2, 5, 1154633

Why are those the prime factors of the number 115,463,300?

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 115,463,300

115,463,300
Factor Arrows
257,731,650
Factor Arrows
228,865,825
Factor Arrows
55,773,165
Factor Arrows
51,154,633

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, 1154633

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 1,154,633 = 115,463,300

This can also be written as 22 x 52 x 1,154,6331 = 115,463,300

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


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