find the smallest number by which each of the following numbers must be divided to obtain perfect cube:
5)13500
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first find the prime factorisation of 13500
2 13500
2 6750
5. 3375
5. 675
5. 135
3 27
3. 9
3. 3
1
13500 = 2×2× 5 × 5× 5×3×3×3
= 2×2× 5×3
as 2×2 is left will divide 13500 by 2×2 = 4 .
2 13500
2 6750
5. 3375
5. 675
5. 135
3 27
3. 9
3. 3
1
13500 = 2×2× 5 × 5× 5×3×3×3
= 2×2× 5×3
as 2×2 is left will divide 13500 by 2×2 = 4 .
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