Factors that 144 are the list of integers that us can separation evenly right into 144. There are as whole 15 determinants of 144, of i beg your pardon 2 and also 3 room its element factors. The prime Factorization of 144 is 24 × 32.

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Factors that 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and also 144Negative components of 144: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -36, -48, -72 and also -144Prime components of 144: 2, 3Prime administer of 144: 2 × 2 × 2 × 2 × 3 × 3 = 24 × 32Sum of factors of 144: 403
1.What space the determinants of 144?
2.How to calculation the factors of 144?
3.Factors the 144 in Pairs
4. Important Notes
5.FAQs on factors of 144 

What space the factors of 144?

Factors that a number are the numbers that division the provided number precisely with no remainder. Determinants of 144 room 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and also 144. So,144 is a composite number together it has factors various other than 1 and also itself.

How to calculation the factors of 144?

We can use different methods favor divisibility test, prime factorization, and the upside-down division method to calculate the factors of 144. In element factorization, us express 144 as a product that its element factors and in the division method we divide the number by entirety numbers or integers. Let us see what all numbers divide 144 specifically without a remainder.

Prime administer by department Method

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

STEP 3: we then discover the prime determinants of the acquired quotient. Repeat action 1 and also Step 2 it spins we get the element number as a quotient. In the last step, 9 is the quotient (9 ÷ 3= 3) 3 is the quotient, for this reason we prevent the process here.

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Therefore, element factorization of 144 = 2 × 2 × 2 × 2 × 3 × 3.

2 and 3 space prime factors of 14.

Explore components using illustrations and also interactive examples.

Factors that 144 in Pairs

Factor pairs of 144 are the two numbers which, once 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)

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

We can have negative factors also for a provided number.

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

With factors, we are only looking for whole numbers that are equal to or much less than the original number.


The factors of composite number 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and also 144.144 is a square number.The element factorization that 144 is 2 × 2 × 2 × 2 × 3 × 3.

Challenging Questions

Which of the complying with numbers is the product of specifically 3 distinct prime numbers? 45, 60, 91, 105, 330Find the least number whereby 14444 would have to be multiplied to give a square number.

Example 1: The area that the dining room at cutting board Jefferson’s home in Monticello is around 144 square feet. What are the possible dimensions that the room?

Solution:

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

Length the Room (Feet)Breadth that 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 rectangle-shaped room deserve to be adjusted by swapping length by breadth. So, there space 16 possible options.

Example 2: assist Ria discover the prime factors of 144.

Solution:

The components of composite number 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and also 144.The prime factorization the 144 is 1 × 2 × 2 × 2 × 2 × 3 × 3.The prime factors of 144 room 1, 2, and 3.


Example 3: How numerous factors room there for 144?

Solution:

The determinants of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. Therefore, 144 has 15 factors.


 

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FAQs on factors of 144

What room the determinants of 144?

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

What is the Greatest common Factor that 144 and 92?

The determinants 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.Common components of 144 and 92 are <1, 2, 4>.Hence, the GCF of 144 and 92 is 4.

What are the typical Factors of 144 and also 101?

Since, the determinants of 144 space 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 also 101 have only one usual factor i m sorry is 1. Therefore, 144 and also 101 room co-prime.

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What is the amount of every the determinants of 144?

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

What numbers space the Pair factors of 144?

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