Factors that 144 room the perform of integers that we can break-up evenly right into 144. There are overall 15 factors of 144, of i m sorry 2 and 3 space its element factors. The prime 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 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 administrate 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 room the components of 144?

Factors the a number are the number that divide the given number precisely 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 together it has factors other than 1 and itself.

How to calculation the components of 144?

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

Prime administrate by department Method

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

STEP 3: us then discover the prime factors of the derived quotient. Repeat action 1 and Step 2 till we get the prime number as a quotient. In the last step, 9 is the quotient (9 ÷ 3= 3) 3 is the quotient, therefore we prevent the procedure here.

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

2 and also 3 space prime components of 14.

Explore factors using illustrations and interactive examples.

Factors of 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 (12, 12).

We have the right to have an adverse factors additionally for a offered number.

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

With factors, us are just looking for whole numbers that room equal come or much less than the original number.


The determinants 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 prime factorization of 144 is 2 × 2 × 2 × 2 × 3 × 3.

Challenging Questions

Which the the adhering to numbers is the product of exactly 3 unique prime numbers? 45, 60, 91, 105, 330Find the least number through which 14444 would have to be multiply 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 the the room?

Solution:

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

Length of 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 also (12, 12).

Here, the layout of the rectangular room deserve to be readjusted by swapping length by breadth. So, there space 16 possible options.

Example 2: aid Ria uncover the prime components of 144.

Solution:

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


Example 3: How plenty of factors space there for 144?

Solution:

The components of 144 space 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 components of 144

What are the determinants of 144?

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

What is the Greatest typical Factor the 144 and 92?

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

What space the usual Factors the 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 factors the 101 space 1, 101. Hence, 144 and 101 have only one typical factor which is 1. Therefore, 144 and 101 room co-prime.

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What is the amount of all the components of 144?

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

What numbers room the Pair determinants of 144?

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