Factors the 144 space the perform of integers that we can separation evenly into 144. Over there are in its entirety 15 factors of 144, of which 2 and 3 room its prime factors. The element Factorization that 144 is 24 × 32.

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

What room the determinants of 144?

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

How to calculate the determinants of 144?

We have the right to use different methods favor divisibility test, element factorization, and the upside-down department method to calculate the components of 144. In element factorization, we express 144 together a product the its element factors and also in the department method we division the number by entirety numbers or integers. Let us see what every numbers divide 144 specifically without a remainder.

Prime factorization by division Method

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

STEP 3: us then discover the prime factors of the obtained quotient. Repeat action 1 and also Step 2 it rotates we obtain the element number as a quotient. In the critical step, 9 is the quotient (9 ÷ 3= 3) 3 is the quotient, so we protect against the procedure here.

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

2 and also 3 space prime determinants of 14.

Explore determinants using illustrations and also interactive examples.

Factors of 144 in Pairs

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

Factors that 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 (12, 12).

We can have negative factors also for a given number.

The product the two an unfavorable numbers is positive.- (×) - = +(-1,-144) , (-2,-72) and (-3,-48), etc., are additionally factor bag of 144.

With factors, us are only looking for entirety numbers that space equal come 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 the 144 is 2 × 2 × 2 × 2 × 3 × 3.

Challenging Questions

Which the the adhering to numbers is the product of precisely 3 unique prime numbers? 45, 60, 91, 105, 330Find the the very least number whereby 14444 would need to be multiply to provide a square number.

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

Solution:

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

Length the Room (Feet)Breadth the 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 also (12, 12).

Here, the layout of the rectangle-shaped room deserve to be adjusted by swapping size by breadth. So, there space 16 possible options.

Example 2: assist Ria find the prime components 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 144.The prime factorization that 144 is 1 × 2 × 2 × 2 × 2 × 3 × 3.The prime components of 144 space 1, 2, and 3.


Example 3: How many factors space there for 144?

Solution:

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


 

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FAQs on determinants of 144

What space the components of 144?

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

What is the Greatest common Factor that 144 and also 92?

The factors of 144 and 92 space 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 also 92 are <1, 2, 4>.Hence, the GCF that 144 and also 92 is 4.

What are the typical Factors that 144 and 101?

Since, the components of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 and also factors that 101 space 1, 101. Hence, 144 and also 101 have actually only one common factor i beg your pardon is 1. Therefore, 144 and also 101 are co-prime.

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What is the sum of every the determinants of 144?

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

What numbers space the Pair factors of 144?

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