Find the prime factorization of number 2963520.

Answer

The prime factorization of 2963520 is:

$$ 2963520 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5\cdot7\cdot7\cdot7 $$

Which is the same as :

$$ 2963520 = 2^{6}\cdot3^{3}\cdot5\cdot7^{3} $$

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

2963520 can be written as 10 × 296352.	2963520 10 296352
10 can be written as 2 × 5.	2963520 10 5 2 296352
296352 can be written as 2 × 148176.	2963520 10 5 2 296352 2 148176
148176 can be written as 2 × 74088.	2963520 10 5 2 296352 2 148176 74088 2
74088 can be written as 2 × 37044.	2963520 10 5 2 296352 2 148176 74088 2 37044 2
37044 can be written as 2 × 18522.	2963520 10 5 2 296352 2 148176 74088 2 37044 18522 2 2
18522 can be written as 2 × 9261.	2963520 10 5 2 296352 2 148176 74088 2 37044 18522 2 9261 2 2
9261 can be written as 3 × 3087.	2963520 10 5 2 296352 2 148176 74088 2 37044 18522 2 9261 3087 3 2 2
3087 can be written as 3 × 1029.	2963520 10 5 2 296352 2 148176 74088 2 37044 18522 2 9261 3087 3 1029 3 2 2
1029 can be written as 3 × 343.	2963520 10 5 2 296352 2 148176 74088 2 37044 18522 2 9261 3087 3 1029 343 3 3 2 2
343 can be written as 7 × 49.	2963520 10 5 2 296352 2 148176 74088 2 37044 18522 2 9261 3087 3 1029 343 7 49 3 3 2 2
49 can be written as 7 × 7.	2963520 10 5 2 296352 2 148176 74088 2 37044 18522 2 9261 3087 3 1029 343 7 49 7 7 3 3 2 2
The end nodes are the prime factors of the number 2963520.	2963520 10 5 2 296352 2 148176 74088 2 37044 18522 2 9261 3087 3 1029 343 7 49 7 7 3 3 2 2

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