# What is the prime factorization of 144 in exponents? ## What is the prime factorization of 144 in exponents?

Answer and Explanation: The prime factorization of 144 using exponents is 24×32 2 4 × 3 2 .

### What is the exponent of two in the factorization of 144?

4
Therefore, the exponent of 2 in the prime factorization of 144 is 4.

#### What is 144 written as a product of prime in exponential form?

The prime factorization of 144 in exponential form is 24∗32 2 4 ∗ 3 2 .

What is the factorisation of 144?

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

What are prime factor exponents?

Prime factorization is the breaking down of a number into the prime numbers that multiply to the original number. For example, the prime factorization of 12 is 2 * 2 * 3. We can add exponents when we have the same prime number occurring more than once. So, the prime factorization of 12 can also be written as 22 * 3.

## What is the exponent of 3 in the prime factorization of 144?

Answer. As there are two 3’s the exponent of 3 is 3 square.

### What is the product of exponents of 2 and 3 in the prime factorization of 144?

The method in which we multiply prime numbers in order to make original number is called as prime factorization. Prime factorization of 144 = 2 * 2 * 2 * 2 * 3 * 3. ⇒ 2⁴ * 3².

#### How many digits will come in the square root of 144?

2 digits
Hence, the square root of the number 144 has 2 digits.

What does 144 stand for?

gross, 144(noun) twelve dozen.

How do you factor numbers with exponents?

To do this, take the greatest common factor of the numbers and the smallest exponent of each variable. 2. Divide the original expression by the greatest common factor. To do this, divide the coefficients, and subtract the exponents of the variables.

## Whats 144 called?

dozen dozens
144 is a dozen dozens, or one gross….144 (number)

← 143 144 145 →
Cardinal one hundred forty-four
Ordinal 144th (one hundred forty-fourth)
Factorization 24 × 32
Divisors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

### What is the LCM of 144?

The LCM of 144 and 180 is 720. To find the least common multiple (LCM) of 144 and 180, we need to find the multiples of 144 and 180 (multiples of 144 = 144, 288, 432, 576 . . . .

#### Which is the square root of 144?

12
The value of the square root of 144 is equal to 12. In radical form, it is denoted as √144 = 12. To calculate the value to root 144 without using a calculator, there are two methods: one is the prime factorisation and another is the long division method.

What does 144 mean in love?

Whether you are single or taken, the number 144 is a reminder that love is all around you. If you are in a difficult situation, then this number is signaling a better relationship in the near future. Open your heart to the possibilities and let the love of the angels fill your life.

What is 144 as product of prime factors?

The factors of composite number 144 are 1,2,3,4,6,8,9,12,16,18,24,36,48,72,and 144.

• 144 is a square number.
• The prime factorization of 144 is 2 × 2 × 2 × 2 × 3 × 3.
• ## What are prime factors of 144?

First,write the number 144

• Find the two numbers,which gives the result as 144 under the multiplication,say 2 and 72,such as 2 × 72 = 144.
• We know that 2 is a prime number that has only two factors,i.e.,1 and the number itself (1 and 2) which cannot be further factorized.
• ### What are all the factors of 144?

– All factors of 144 = – Prime factor of 144 = 2^4 x 3^2 – Sum of all factors of 144 = 1+ 4+ 2+ 3+ 6+ 8+ 16+ 9+ 12+ 18+ 24+ 36+ 48+ 72+144= 341

#### Is 144 and 54 relatively prime?

RELATIVELY PRIME (COPRIME) NUMBERS. Two numbers are relatively prime (coprime) if they have no common factor greater than 1. The greatest common factor of relatively prime numbers is equal to 1 and the least common multiple of them is equal to the product of these numbers. Relatively prime numbers do not have any common prime factors.

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