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What even number less than 100 has an odd number of factors?
Perfect squares have odd numbers of factors. The perfect squares less than 100 are: 1,4,9,16,25,36,49,64,81,100. 64 seems to fit both criteria.
Is the sum of two square consecutive numbers an odd number?
Yes. One has to be the square of an odd number. The other square has to the the square of the even number either before or after the odd number. If this is confusing just plug in real values. In either case, an odd times and odd is odd. Therefore one of the squares has to be odd. AN even times an even, however, is always even. Therefore, the second square has to be even. Thus, one of the squares is even and the other is odd. An even plus and odd is always odd.
What has an odd number of factors but is an even number?
Squares of even numbers like 4 and 16.
Why are all squares similar?
Because they are cooresponding shapes
What are numbers with odd factors called?
squares
Odd number factors?
Perfect squares are numbers with an odd number of factors.
What numbers with an odd numbers of factors?
Perfect squares have an odd number of factors.
What is 1 9 and 25 examples of?
odd number squares
What is the special name of the numbers which have an odd number of factors?
Squares.
How many numbers which are less than 1000 have an odd number of factors?
Perfect squares have an odd number of factors. There are 31 perfect squares less than 1000.
What do all perfect squares have?
Right angles an odd number of factors
Can you express every odd prime number as the difference of two squares?
Every odd number greater than one is the difference of two squares. This includes all the odd prime numbers. To find the two numbers whose difference of squares equals a particular odd number, divide the odd number by 2. The two numbers are the integers immediately below and above that dividend. For example, 17 is the difference of two squares. Divide 17 by 2 and get 8.5. The two numbers are 8 and 9. 92 - 82 = 81 - 64 = 17.
What type of number has an odd number of factors?
A perfect square has an odd number of factors. Factors of numbers always come in pairs -- except for perfect squares. Since the square root of a perfect square is listed only once on the list of factors, it results in a list with an odd number of factors.
What is the answer to this---Find two consecutive integers the sum of whose squares is 130?
If you have two consecutive integers then one of them must be odd and the other must be even. The square of an odd integer must be odd, the square of an even integer must be even. The sum of an odd number and an even number must be odd. Thus, the sum of squares of any two consecutive numbers must be odd. Therefore, the question has no valid answer.
How many positive integers less than 100 have an odd number of positive divisors?
The squares -- nine of them.
How do you find odd square root?
Look for odd squares. Multiplying odd numbers results in an odd product.
Why does number 25 have a odd number of factors?
Because it's a square number. All perfect squares have an odd number of factors because they have one factor pair that is the same number twice (the square root) and when the factors are listed, the number is listed once.
