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Is 72 a perfect square?
NO. 72 = 2 x 36 = 2 x 62 and 72 = 8 x 9 = 8 x 32 Some of the factors of 72 can be represented as perfect squares but not all the factors, hence 72 itself is NOT a perfect square number.
Is the square root of 72 a rational or irrational number?
The square root of 72 is an irrational number. Since 72 is not a perfect square, the decimal is endless. (just like the value of pi)
What is the highest common factor of 40 and 72?
The highest common factor (HCF) of 40 and 72 is the largest number that divides both 40 and 72 without leaving a remainder. To find the HCF, we need to identify the common factors of 40 and 72, which are 1, 2, 4, and 8. The highest common factor of 40 and 72 is 8.
What is the greatest common factor of 16 40 and 72?
The greatest common factor is the highest number that divides exactly into two or more numbers. 16: 1, 2, 4, 8, 16 40: 1, 2, 4, 5, 8, 10, 20, 40 72: 1, 2, 3, 4, 6,8, 9, 12, 18, 24, 36, 72 The greatest common factor of 16, 40 and 72 is 8.
What is the smallest positive integer n such that 2n is a perfect square and 3n is a perfect cube?
n=72 satisfies the relation. 2*72 = 12**2, and 3*72 = 6**3. The only question is whether or not that is the smallest integer that will do so. All perfect squares of which 2n is a factor are of form (2x)**2 = 4x**2, with n= 2x**2. Similarly all perfect cubes of which 3n is a factor are of form (3y)**3 = 27y**3 with n = 9y**3. So, we need integers x and y such that 2x**2 = 9y**3. If the integers x and y are the smallest that satisfy the equation, then we have the smallest n. It doesn't work for y = 1, or any other odd number. If y = 2, n = 72. There is a number x =6 which satisfies the relation. Since y is smallest possible, then n=72 is the smallest positive integer that satisfies the relation.
What is the largest prime factor of 72?
Three.
Is 72 a perfect square?
NO. 72 = 2 x 36 = 2 x 62 and 72 = 8 x 9 = 8 x 32 Some of the factors of 72 can be represented as perfect squares but not all the factors, hence 72 itself is NOT a perfect square number.
How do you determine that 72 is not a square number?
You take the square root of the number. If it is a perfect square, this will be a whole number. If it is not, it isn't a perfect square.
What is the largest factor of 72?
First, let's list the factors of 72, although it may seem tedious, it might be useful until you get the hang of it.1, 2, 3, 4, 6, 12, 18, 24, 36, 72.*Please Note*: That you may skip the step above if you need to.Second, the largest factor of any number is extremely simple. It's always the number itself.Example: Find the largest factor of 1337.It's a no-brainer. The largest factor is undoubtedly 1337, the number itself.Similarly, the largest factor of 72 is...well... 72.
Is 72 an integer is a perfect square?
No because its square root is an irrational number
Is 51 a perfect square or not?
51 is not a perfect square. 72 = 49 82 = 64 51 is between 49 and 64 so its square root is 7+a bit, and it is not a perfect square.
What is the largest number that is a factor of 72 and 45?
The GCF is 9.
What is the greatest square number that is a factor of 72?
36
What is the greatest square number that is a factor 72 and a whole number?
The easiest way to find that answer is to first factor 72 into prime format: 72 = 2x36 = 2x2x18 = 2x2x2x9 = 2x2x2x3x3 Now, look for prime numbers that occur in pairs, as any pair of like numbers in prime factorial can be combined to form a square, thus: 2x2x2x3x3 = 2(2x2)(3x3) = 2(4)(9) Lastly, multiply your square numbers together (the product of multiplying squares together will always yield another square) to get your answer: (4)(9) = 36, which is the largest whole-number, square factor of 72.
Is the square root of 72 a rational or irrational number?
The square root of 72 is an irrational number. Since 72 is not a perfect square, the decimal is endless. (just like the value of pi)
Why is 72 the largest odd number that is a factor of 720?
The question does not make any sense at all because72 is not an odd number72 is not the largest factor of 720
What is the greatest square number that is a factor of 72 and a whole number?
36
