Find the prime factorization of number 76576500.

Answer

The prime factorization of 76576500 is:

$$ 76576500 = 2\cdot2\cdot3\cdot3\cdot5\cdot5\cdot5\cdot7\cdot11\cdot13\cdot17 $$

Which is the same as :

$$ 76576500 = 2^{2}\cdot3^{2}\cdot5^{3}\cdot7\cdot11\cdot13\cdot17 $$

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

76576500 can be written as 10 × 7657650.	76576500 10 7657650
10 can be written as 2 × 5.	76576500 10 5 2 7657650
7657650 can be written as 10 × 765765.	76576500 10 5 2 7657650 10 765765
10 can be written as 2 × 5.	76576500 10 5 2 7657650 10 5 2 765765
765765 can be written as 5 × 153153.	76576500 10 5 2 7657650 10 5 2 765765 5 153153
153153 can be written as 3 × 51051.	76576500 10 5 2 7657650 10 5 2 765765 5 153153 51051 3
51051 can be written as 3 × 17017.	76576500 10 5 2 7657650 10 5 2 765765 5 153153 51051 3 17017 3
17017 can be written as 7 × 2431.	76576500 10 5 2 7657650 10 5 2 765765 5 153153 51051 3 17017 2431 7 3
2431 can be written as 11 × 221.	76576500 10 5 2 7657650 10 5 2 765765 5 153153 51051 3 17017 2431 11 221 7 3
221 can be written as 13 × 17.	76576500 10 5 2 7657650 10 5 2 765765 5 153153 51051 3 17017 2431 11 221 17 13 7 3
The end nodes are the prime factors of the number 76576500.	76576500 10 5 2 7657650 10 5 2 765765 5 153153 51051 3 17017 2431 11 221 17 13 7 3

This page was created using

Prime factorization calculator