Factors that 144 space the perform of integers that us can separation evenly into 144. There are overall 15 determinants of 144, of i m sorry 2 and 3 space its prime factors. The prime Factorization the 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 also 144Negative factors of 144: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -36, -48, -72 and -144Prime components of 144: 2, 3Prime factorization of 144: 2 × 2 × 2 × 2 × 3 × 3 = 24 × 32Sum of determinants of 144: 403
1.What are the determinants of 144?
2.How to calculation the factors of 144?
3.Factors of 144 in Pairs
4. Important Notes
5.FAQs on components of 144 

What room the determinants of 144?

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

How to calculation the components of 144?

We can use various methods prefer divisibility test, prime factorization, and the upside-down division method to calculation the components of 144. In prime factorization, us express 144 as a product of its prime factors and also in the department method we division the number by whole numbers or integers. Let united state see what all numbers divide 144 precisely without a remainder.

Prime administer by division 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 uncover the prime components of the obtained quotient. Repeat step 1 and also Step 2 it rotates we get the prime number together a quotient. In the critical step, 9 is the quotient (9 ÷ 3= 3) 3 is the quotient, therefore we prevent the procedure here.

*

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

2 and 3 are prime components of 14.

Explore determinants using illustrations and also interactive examples.

Factors of 144 in Pairs

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

We deserve to have negative factors likewise for a provided number.

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

With factors, we are just looking for whole numbers that space equal come or 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 the 144 is 2 × 2 × 2 × 2 × 3 × 3.

Challenging Questions

Which of the following numbers is the product of precisely 3 unique prime numbers? 45, 60, 91, 105, 330Find the least number whereby 14444 would must be multiplied to offer a square number.

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

Solution:

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

Length of 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 (12, 12).

Here, the layout that the rectangular room can be adjusted by swapping size by breadth. So, there space 16 possible options.

Example 2: aid Ria find 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 144.The prime factorization of 144 is 1 × 2 × 2 × 2 × 2 × 3 × 3.The prime components of 144 room 1, 2, and also 3.


Example 3: How countless factors room there for 144?

Solution:

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


 

*


FAQs on determinants of 144

What space the factors of 144?

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

What is the Greatest usual Factor the 144 and 92?

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

What are the common Factors that 144 and also 101?

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

See more: Which Arrow Points To The Alternator Ground Hole Location (Pics Attached)

What is the amount of all the determinants of 144?

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

What numbers room the Pair components of 144?

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