Q: What are the prime factors of the number 22,814,390?

 A: 2, 5, 23, 281, 353

Why are those the prime factors of the number 22,814,390?

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 22,814,390

22,814,390
Factor Arrows
211,407,195
Factor Arrows
52,281,439
Factor Arrows
2399,193
Factor Arrows
281353

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, 23, 281, 353

We can check our work by multiplying all of the prime factors together: 2 x 5 x 23 x 281 x 353 = 22,814,390

This can also be written as 21 x 51 x 231 x 2811 x 3531 = 22,814,390

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


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