Find the prime factorization of number 4762800.

Answer

The prime factorization of 4762800 is:

$$ 4762800 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot7\cdot7 $$

Which is the same as :

$$ 4762800 = 2^{4}\cdot3^{5}\cdot5^{2}\cdot7^{2} $$

Prime factorization can be nicely visualized by creating a factorization tree.

4762800 can be written as 10 × 476280.	4762800 10 476280
10 can be written as 2 × 5.	4762800 10 5 2 476280
476280 can be written as 10 × 47628.	4762800 10 5 2 476280 10 47628
10 can be written as 2 × 5.	4762800 10 5 2 476280 10 5 2 47628
47628 can be written as 2 × 23814.	4762800 10 5 2 476280 10 5 2 47628 2 23814
23814 can be written as 2 × 11907.	4762800 10 5 2 476280 10 5 2 47628 2 23814 11907 2
11907 can be written as 3 × 3969.	4762800 10 5 2 476280 10 5 2 47628 2 23814 11907 3 3969 2
3969 can be written as 3 × 1323.	4762800 10 5 2 476280 10 5 2 47628 2 23814 11907 3 3969 1323 3 2
1323 can be written as 3 × 441.	4762800 10 5 2 476280 10 5 2 47628 2 23814 11907 3 3969 1323 3 441 3 2
441 can be written as 3 × 147.	4762800 10 5 2 476280 10 5 2 47628 2 23814 11907 3 3969 1323 3 441 147 3 3 2
147 can be written as 3 × 49.	4762800 10 5 2 476280 10 5 2 47628 2 23814 11907 3 3969 1323 3 441 147 3 49 3 3 2
49 can be written as 7 × 7.	4762800 10 5 2 476280 10 5 2 47628 2 23814 11907 3 3969 1323 3 441 147 3 49 7 7 3 3 2
The end nodes are the prime factors of the number 4762800.	4762800 10 5 2 476280 10 5 2 47628 2 23814 11907 3 3969 1323 3 441 147 3 49 7 7 3 3 2

This page was created using

Prime factorization calculator