find the smallest number by which 1372 may be multiplied so that the product is a perfect cube
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VemugantiRahul:
check ! its 7 not 2
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¶ To find the smallest No. by which a No. (Say N) be multiplied so that the resultant product is a perfect square
¶ Steps:
• Resolve N into product of Prime factors
• Express them in Exponential Form with prime factors having power as 2.
• Required least No. is the prime factor(or product of prime factors) which are not having 2 as their power.
Given,
N = 1372
Using Prime Factorisation,
2 | 1372
2 | 686
7 | 343
7 | 49
.• | 7
•°• 1372 = 2 × 2 × 7 × 7 × 7
In exponential form,
To get a perfect square, 1372 is to be multiplied by 7.
•°•
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