Question: What Are The Divisors Of 144?

How do you find the number of divisors?

Fortunately there is a quick and accurate method using the divisor, or Tau, function.

Let d( n ) be the number of divisors for the natural number, n .

We begin by writing the number as a product of prime factors: n = p a q b r c …

then the number of divisors, d( n ) = ( a +1)( b +1)( c +1)….

What are the real square roots of 144?

The value of the square root of 144 is equal to 12. In radical form, it is denoted as √144 = 12.

Is 25000 a perfect square?

A: No, the number 25,000 is not a perfect square.

What is 144 as a product of primes?

The prime factors of 144 are only 2 and 3.

What is the greatest prime factor of 144?

144 and Level 3 Prime factorization: 144 = 2 x 2 x 2 x 2 x 3 x 3, which can also be written 144 = (2^4) x (3^2). 144 is the largest clue that appears in the FIND THE FACTORS 1 – 12 puzzles. For the puzzles in which it is a clue, always use 12 x 12 as the factors.

How do you find the factors of 144?

Factors of 144: 1, 4, 2, 3, 6, 8, 16, 9, 12, 18, 24, 36, 48, 72, 144. Prime factorization: 144 = 2 x 2 x 2 x 2 x 3 x 3.

Why is 144 a special number?

The number 144 in general signifies determination and hard work to build a solid foundation for your future security and the security of your family. This number also symbolizes new beginnings, efforts, diligence, determination, achieving success through work, leadership, motivation and ambition.

What is the prime factorization of 144 in exponential form?

We write it 5 × 5 × 5 = 53. Thus for example the prime factorization of 144 is 2 × 2 × 2 × 2 × 3 × 3 or in exponential form 24 × 32.

How many prime factors Does 144 have?

two prime factors144 has two prime factors.

What is the root square of 324?

18The square root of 324 is 18.

What is the perfect square of 144?

1212 is the perfect square of 144.

What are the 2 square roots of 144?

So the set of all real square roots of -144 is the empty set. The imaginary square roots are i12 and -i12.

Is the square root of 144 a natural number?

Answer and Explanation: The square root of 144 is a rational number. … This means that its square root is a whole number, or integer.

Is 144 a cube number?

n3 = 144 where n is a whole number. In other words, if n*n*n = 144, then 144 is a cube number. There are no whole numbers you can set to n to make the equation above 144. Therefore, we can conclude that 144 is NOT a cube number.

What is a perfect square between 100 and 144?

Want to learn more?Perfect SquareSquare Root1441212111100108198 more rows