Practicing Success
Which is the smallest natural number by which 243 must be multiplied to make the product a perfect cube? |
3 9 8 7 |
3 |
For a number to be a perfect cube, its powers of prime factors must have multiples of 3.
After prime factorization, we get: 243 = 3 × 3 × 3 × 3 × 3 = 243 i.e. 35
In order to make this number a perfect cube, we will multiply 3 once so that the power becomes 36 i.e. power with a multiple of 3.
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