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If the numbers that are squared are odd, then the squared number will be odd. For example:
32 = 9
72 = 49
172 = 289
132 = 169
212 = 441
And all even numbers that are squared result in an even number. For example:
22 = 4
82 = 64
102 = 100
282 = 784
302 = 900
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What are all the odd square numbers?
There are infinitely many of them. The square of every odd number will be an odd square number.
Are all perfect square number are even numbers?
No, all perfect square numbers are not even numbers. Eg. the square of 3 is 9. (32=9) To generalize the proof: If p is odd then p=2n+1 and p2=(2n+1)2=4n2+4n+1=2(2n2+2n)+1 So odd numbers have odd square
What are the first 1000 odd numbers?
All the odd numbers between 1 and 2001.
What is the sum of all odd numbers from 1 to 12000?
The sum of all the odd numbers between 1 and 12000 is 36000000.
Are all odd square roots the square roots of odd numbers?
Yes, they are. Sketch of proof: Odd square root is a number x of form x = 2n + 1. Square of this root is: x2=(2n+1)2=4n2+4n+1=y, which can be expressed as: y=2(2n2+2n)+1. Let t = 2n2+2n. Then, y=2t+1, which is an odd number.
Are odd numbers in square numbers?
Half of all square numbers are odd. They are the ones which are the square of an odd number.
What are all the odd square numbers?
There are infinitely many of them. The square of every odd number will be an odd square number.
Which number has an odd number of different factors?
All square numbers have an odd number of factors.
Is there any odd numbers that are square?
yes 9 25 49 81 121 All odd numbers squared are odd numbers
Do all square numbers have odd amount of factors?
Yes.
Do all square numbers have a odd number factor?
Yes.
What are odd numbers of factors called?
Square numbers have odd numbers of factors.
Are all perfect square number are even numbers?
No, all perfect square numbers are not even numbers. Eg. the square of 3 is 9. (32=9) To generalize the proof: If p is odd then p=2n+1 and p2=(2n+1)2=4n2+4n+1=2(2n2+2n)+1 So odd numbers have odd square
Do all numbers have an even number of factors?
No. Perfect square numbers have an odd number of factors.
Can you explain why some square numbers are odd numbers?
The square of any odd number is also an odd number for reasons that should be obvious.
What is the meaning of even and odd factors?
All nonzero numbers have factors. Some factors are even numbers, some factors are odd numbers.
Numbers that have an odd number of factors?
Square numbers have an odd number of factors.
