Factors that 144 space the perform of integers that us can separation evenly into 144. Over there are all at once 15 determinants of 144, of i beg your pardon 2 and also 3 are its prime factors. The prime Factorization of 144 is 24 × 32.

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Factors of 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 -144Prime components of 144: 2, 3Prime administer of 144: 2 × 2 × 2 × 2 × 3 × 3 = 24 × 32Sum of determinants of 144: 403
1.What room the components of 144?
2.How to calculate the determinants of 144?
3.Factors of 144 in Pairs
4. Important Notes
5.FAQs on factors of 144 

What space the determinants of 144?

Factors that a number are the numbers that divide the given number specifically with no remainder. Components 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 as it has factors other than 1 and itself.

How to calculate the components of 144?

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

Prime administer by department Method

The upside-down division got its name so due to the fact that the division symbol is flipped upside down.

STEP 3: we then find the prime factors of the acquired quotient. Repeat action 1 and Step 2 till we get the element number together a quotient. In the last step, 9 is the quotient (9 ÷ 3= 3) 3 is the quotient, for this reason we prevent the procedure here.

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

2 and also 3 are prime components of 14.

Explore factors using illustrations and interactive examples.

Factors the 144 in Pairs

Factor pairs of 144 are the 2 numbers which, once multiplied, give the number 144.

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

We have the right to have an unfavorable factors also for a given number.

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

With factors, we are just looking for whole numbers that space equal to or 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 144.144 is a square number.The element factorization of 144 is 2 × 2 × 2 × 2 × 3 × 3.

Challenging Questions

Which of the complying with numbers is the product of precisely 3 distinctive prime numbers? 45, 60, 91, 105, 330Find the the very least number by which 14444 would must be multiply to provide a square number.

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

Solution:

The area of a rectangle is length × breadth.Given area = 144 square feetSo, the feasible length and also breadth room the factor pairs the 144 (as the product of this pairs is 144).

Length the 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 also (12, 12).

Here, the layout the the rectangular room have the right to be adjusted by swapping size by breadth. So, there are 16 possible options.

Example 2: help Ria uncover 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 also 144.The element factorization the 144 is 1 × 2 × 2 × 2 × 2 × 3 × 3.The prime factors of 144 are 1, 2, and also 3.


Example 3: How numerous factors are there because that 144?

Solution:

The factors 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 are the factors of 144?

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

What is the Greatest typical Factor that 144 and 92?

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

What are the common Factors of 144 and 101?

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

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What is the amount of all the components of 144?

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

What numbers space the Pair components of 144?

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