find the least number by which one divide the following number the number becomes perfect cube also find cube root of new number 7986 In detail
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find the least number by which one divide the following number the number becomes perfect cube also find cube root of new number 7986 In detail
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Answer:
We have,
28672=2×2×2×2×2×2×2×2×2×2×2×2×7
After grouping the prime factors in triplets, it’s seen that one factor 7 is left without grouping.
28672=(2×2×2)×(2×2×2)×(2×2×2)×(2×2×2)×7
So, it must be divided by 7 in order to get a perfect cube.
Thus, the required smallest number is 7.