Question

find the perfect cube of 1620 by prime factorization method ​

Answer 1

Answer:

prime factorization calculator of 1620

Prime Factors of 1620 =2, 2, 3, 3, 3, 3, 5

Which is the same as = 2^2 x 3^4 x 5^1

Answer 2

Answer:

Step-by-step explanation:

first we need to find the prime factorization of the given number 1620

→ 1620= 2 x 2 x 3 x 3 x 3 x 3 x 5

$2^{2} X 3^{2} X 5^{1}$

therefore, the smallest number by which 1620 should be divided to get a perfect square is 5.

now,

$\frac{1620}{5} = 324\\\\\sqrt{324} = 2^{2} X 3^{2} X 3^{2}$

2 x 3 x 3 = 18