1
Question
Find the smallest number by which 704 must be divided to obtain a perfect cube.
Open in App
Solution
By resolving 704 into prime factor,
704 = 2×2×2×2×2×2×11
By grouping the factors in triplets of equal factors,
704 = (2×2×2)×(2×2×2)×11
Here, 11 cannot be grouped into triplets of equal factors.
∴ We will divide 704 by 11 to get perfect cube.
704 = 2×2×2×2×2×2×11
By grouping the factors in triplets of equal factors,
704 = (2×2×2)×(2×2×2)×11
Here, 11 cannot be grouped into triplets of equal factors.
∴ We will divide 704 by 11 to get perfect cube.
Suggest Corrections
5
Similar questions
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
