Question

find the cube root of 583 by prime factorisation​

Answer 1

Step-by-step explanation:

sorry mate 583 is not a cube...

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Answer 2

cube root of 5832  is 18

583 is not a perfect cube

Given:

• 5832  ( correction in the Question)

To Find:

• cube root  by prime factorisation​

Solution:

• "Prime Factorization is finding prime numbers/factors which when multiplied together results in the original number"
• Prime number is a natural number which has only two factors one and number itself.  (e.g. , 2 , 3 , 5 , 7 .... )
• 583  = 11 x 53  Hence 583 is not a perfect cube

Step 1:

Prime Factorize 5832

5832 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3

Step 2:

Make group of 3

5832 = (2 x 2 x 2) x (3 x 3 x 3) x (3 x 3 x 3)

5832 = 2³ x 3³ x 3³

5832 = (2 x 3 x 3)³

5832 = (18)³

Step 3:

Taking cube root both sides

∛5832 = 18

Hence, cube root of 5832  is 18

(Although you have written 583 in Question but 583 is not a perfect cube Hence correct Question would be find the cube root of 5832 by prime factorization)