Q: What are the prime factors of the number 22,481,800?

 A: 2, 5, 11, 929

Why are those the prime factors of the number 22,481,800?

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 22,481,800

22,481,800
Factor Arrows
211,240,900
Factor Arrows
25,620,450
Factor Arrows
22,810,225
Factor Arrows
5562,045
Factor Arrows
5112,409
Factor Arrows
1110,219
Factor Arrows
11929

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, 11, 929

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 11 x 11 x 929 = 22,481,800

This can also be written as 23 x 52 x 112 x 9291 = 22,481,800

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


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