Q: What are the prime factors of the number 24,103,300?

 A: 2, 5, 13, 18541

Why are those the prime factors of the number 24,103,300?

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 24,103,300

24,103,300
Factor Arrows
212,051,650
Factor Arrows
26,025,825
Factor Arrows
51,205,165
Factor Arrows
5241,033
Factor Arrows
1318,541

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, 13, 18541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 13 x 18,541 = 24,103,300

This can also be written as 22 x 52 x 131 x 18,5411 = 24,103,300

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


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