Q: What are the prime factors of the number 4,865,800?

 A: 2, 5, 24329

Why are those the prime factors of the number 4,865,800?

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 4,865,800

4,865,800
Factor Arrows
22,432,900
Factor Arrows
21,216,450
Factor Arrows
2608,225
Factor Arrows
5121,645
Factor Arrows
524,329

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, 24329

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 24,329 = 4,865,800

This can also be written as 23 x 52 x 24,3291 = 4,865,800

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


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