All numbers have square roots. You may have meant which factors of 40 are perfect squares. That's 1 and 4.
Yes, because each factor must have another factor to go with it, but the square root of a number can have itself as a pair.
A square number will have one factor pair that consists of the same number (the square root). In the list of factors, that number will be written once.
A number will have an odd number of factors if and only if one of those factors is the square root of the number. This is because any factor of a number you can find must pair up with another factor of that number, and multiply to give the number. The only exception is when the factor would be paired with itself. In other words, be the square root. 81 is a square number, and so the factor 9 (square root of 81) will not pair with any other factor, meaning 81 will have an odd number of factors. 40 has an even number of factors, because it is not a square number, and so all its factors can pair up.
a square root
the square root
first, you take a number. for my example, I'll use 12. 12x12= 144. 144 would be the square number, and 12 would be the square root. clarification: if you multiply a number by itself, the product isn't the square root, the factor is. and if your really stupid, here's this: 12x12=144 F F P F means factor P means product. happy now?
A square root.
There can't be a prime number that has a square root because the square root would be a factor of the number.
A number used as a factor two times is a square root.
No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.
The square root of an number, is the number that is times by itself to make the product. For example, the square root of 25 is 5 because 5 x 5 equals 25. Or the square root of 144 is 12 (12x12=144)
The square root of a number is equal to the product of the roots of two factors of that number. -247 can be written as -1x247. The square root of -1 is i. The square root of 247 is approximately 15.716. Thus, the square root of -247 is 15.716i
The square root of 64.36 is an irrational number. Consequently you cannot find the root using a factor tree.
No there is not. If you are looking for prime factors of a number and you get to the square root of that number you can stop. Yes, there is. If an integer is not itself a prime, then one of its factors will be less or equal to its square root and the "co-factor" will be greater than or equal to the square root. But both cannot be greater than the square root so, when searching for factors, you can stop when you reach the square root.
A square number is the product of the same two integers. A rectangular number is the product of consecutive integers.
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).
Yes. Factor the number, and see if any factor repeats!