What is the least perfect square that is also a factor of 4536
Answers
Given : Number 4536
To Find : least perfect square that is a factor of 4536
Solution:
All natural numbers have 1 as factor
4536 also has 1 as one of the factor.
1 is the lest perfect square .
Hence answer is 1
If Question is largest perfect square that is a factor of 4536
4536
2 2268
2 1134
2 567
3 189
3 63
3 21
3 7
7 1
4536 = 2 * 2 * 2 * 3 * 3 * 3 * 3 * 7
= 2² * 2 * 3² * 3² * 7
= (2 * 3 * 3)² * 2 * 7
= 18² * 14
largest perfect square is 18² = 324
324 is largest perfect square which is a factor of 4536
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