Factors of 144 are the list of integers that we deserve to break-up evenly into 144. There are overall 15 determinants of 144, of which 2 and 3 are its prime components. The Prime Factorization of 144 is 24 × 32.

You are watching: How many factors does 144 have?

Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144Negative Factors of 144: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -36, -48, -72 and -144Prime Factors of 144: 2, 3Prime Factorization of 144: 2 × 2 × 2 × 2 × 3 × 3 = 24 × 32Sum of Factors of 144: 403
 1 What Are the Factors of 144? 2 How to Calculate the Factors of 144? 3 Factors of 144 in Pairs 4 Important Notes 5 FAQs on Factors of 144

## What Are the Factors of 144?

Factors of a number are the numbers that divide the given number specifically via no remainder. Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and also 144. So,144 is a composite number as it has factors various other than 1 and itself.

## How to Calculate the Factors of 144?

We have the right to use different techniques favor divisibility test, prime factorization, and also the upside-down division approach to calculate the components of 144. In prime factorization, we express 144 as a product of its prime components and also in the division strategy we divide the number by entirety numbers or integers. Let us see what all numbers divide 144 exactly without a remainder.

### Prime Factorization by Division Method

The upside-down division got its name so bereason the division symbol is flipped upside down.

STEP 3: We then discover the prime components of the obtained quotient. Repeat Step 1 and also Step 2 till we acquire the prime number as a quotient. In the last step, 9 is the quotient (9 ÷ 3= 3) 3 is the quotient, so we sheight the procedure right here. Therefore, prime factorization of 144 = 2 × 2 × 2 × 2 × 3 × 3.

2 and 3 are prime factors of 14.

Explore determinants using illustrations and also interenergetic examples.

## Factors of 144 in Pairs

Factor pairs of 144 are the two numbers which, as soon as multiplied, give the number 144.

Factors of 144 in PairsNotation
1 × 144(1,144)
2 × 72(2,72)
3 × 48(3,48)
4 × 36(4,36)
6 × 24(6,24)
8 × 18(8,18)
9 × 16(9,16)
12 × 12(12,12)

As such, determinants of 144 in pairs are (1,144), (2, 72), (3, 48), (4, 36), (6, 24), (8, 18), (9, 16), and (12, 12).

We deserve to have negative components also for a offered number.

The product of two negative numbers is positive.- (×) - = +(-1,-144) , (-2,-72) and also (-3,-48), and so on, are additionally factor pairs of 144.

With factors, we are just in search of whole numbers that are equal to or less than the original number.

The factors of compowebsite 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.

## Challenging Questions

Which of the complying with numbers is the product of exactly 3 distinctive prime numbers? 45, 60, 91, 105, 330Find the least number through which 14444 would certainly should be multiplied to provide a square number.

Example 1: The area of the dining room at Thomas Jefferson’s home in Monticello is about 144 square feet. What are the possible dimensions of the room?

Solution:

The location of a rectangle is length × breadth.Given area = 144 square feetSo, the feasible size and also breadth are the variable pairs of 144 (as the product of these pairs is 144).

Length of Room (Feet)Breadth of Room (Feet)
1144
272
348
436
624
818
916
1212

(1,144), (2, 72), (3, 48), (4, 36), (6, 24), (8, 18), (9, 16), and (12, 12).

Here, the layout of the rectangular room can be readjusted by swapping size by breadth. So, tright here are 16 possible choices.

Example 2: Help Ria discover the prime determinants of 144.

Solution:

The determinants of compowebsite number 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and also 144.The prime factorization of 144 is 1 × 2 × 2 × 2 × 2 × 3 × 3.The prime determinants of 144 are 1, 2, and also 3.

Example 3: How many factors are there for 144?

Solution:

The components of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. Because of this, 144 has 15 components. ## FAQs on Factors of 144

### What are the Factors of 144?

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

### What is the Greatest Typical Factor of 144 and also 92?

The components of 144 and 92 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 and also 1, 2, 4, 23, 46, 92 respectively.Typical factors of 144 and 92 are <1, 2, 4>.Hence, the GCF of 144 and 92 is 4.

### What are the Usual Factors of 144 and 101?

Because, the components of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 and factors of 101 are 1, 101. Hence, 144 and 101 have actually just one common aspect which is 1. As such, 144 and also 101 are co-prime.

See more: Ashiya Shirou/Alciel X Rika Suzuki ( The Devil Is A Part Timer Rika Suzuki Voice

### What is the Sum of all the Factors of 144?

Sum of all determinants of 144 = (24 + 1 - 1)/(2 - 1) × (32 + 1 - 1)/(3 - 1) = 403

### What numbers are the Pair Factors of 144?

The pair components of 144 are (1, 144), (2, 72), (3, 48), (4, 36), (6, 24), (8, 18), (9, 16), (12, 12).