# 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.