Karthik claims 1323 can be turned into a perfect cube by multiplying by one prime. 1323 = 3^3 x 7^2. By what number must 1323 be multiplied, and what is the cube root of the product?

Question

Accepted Answer

multiply by 7, cube root 21. 1323 = 3^3 x 7^2. The 7 appears twice; multiply by 7 to make 7^3. Product = 3^3 x 7^3 = (3 x 7)^3 = 21^3, cube root = 21.

Karthik claims 1323 can be turned into a perfect cube by multiplying by one prime.
$1323 = 3^{3} \times 7^{2}$ .
By what number must 1323 be multiplied, and what is the cube root of the product?

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More Class 8 Cube Root by Prime Factorisation practice

Karthik claims 1323 can be turned into a perfect cube by multiplying by one prime.1323=33×72.By what number must 1323 be multiplied, and what is the cube root of the product?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Cube Root by Prime Factorisation practice

Karthik claims 1323 can be turned into a perfect cube by multiplying by one prime.
$1323 = 3^{3} \times 7^{2}$ .
By what number must 1323 be multiplied, and what is the cube root of the product?