Oh, what a happy little question! Let's see here... the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Now, the square numbers among these factors are 1, 4, and 9. Isn't it wonderful how numbers can come together like this? Just like painting a beautiful picture!
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The factors of 36 that are also square numbers are 1, 4, 9, and 36. A square number is a number that is the result of multiplying an integer by itself. In this case, 1 squared is 1, 2 squared is 4, 3 squared is 9, and 6 squared is 36.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
1 = 1^2
4 = 2^2
9 = 3^2
36 = 6^2
Therefore, the factors of 36 that are also square numbers are 1, 4, 9, and 36.
Every square number (except 1) is composite. Prime numbers only have two factors, one and the numbers themselves. Since square numbers also have at least the square roots as factors, they have to be composite.
The factors of all numbers can be written in pairs. With square numbers, one of those pairs is the same number twice. When listed singly, square numbers have an odd number of factors. All others are even.
All square numbers have an odd number of factors.
No. Perfect square numbers have an odd number of factors.
all perfect square numbers