By which smallest number must 500 be divided so that quotient is a perfect cube? About the author Ruby
Answer: 2 Step-by-step explanation: Prime factorising 500,we get 500 = 5 × 5 × 5 × 2 × 3 = 5^3 × 2 ^2 we know that , a perfect cube has multiple of 3 AS power of prime factors. Here, number of 2‘s is 2 and a number of 5 ‘s is 3 . so we need to multiply another 2 to the factorization to make 500 a perfect cube. Hence , the smallest number by which 500 must be multiplied to obtain a perfect cube is 2 Hope it helps you Reply
Answer:
2
Step-by-step explanation:
Prime factorising 500,we get
500 = 5 × 5 × 5 × 2 × 3
= 5^3 × 2 ^2
we know that , a perfect cube has multiple of 3 AS power of prime factors.
Here, number of 2‘s is 2 and a number of 5 ‘s is 3 . so we need to multiply another 2 to the factorization to make 500 a perfect cube.
Hence , the smallest number by which 500 must be multiplied to obtain a perfect cube is 2
Hope it helps you