The determinants of 144 space the numbers, that develop the an outcome as 144 once two numbers room multiplied together. Variable pairs that the number 144 are the whole numbers which can be either hopeful or an unfavorable but not a portion or decimal number. To discover the determinants of a number, 144, us will usage the factorization method. To know the factorisation technique in a much better way, read the below post to uncover factor 144 in bag and also the division method to discover the prime factors of 144 is discussed.

You are watching: Find the prime factorization of 144 consider an example, the aspect pair that 73 is created as (1, 73) and also (-1,-73). As soon as we multiply the pair of negative factors, the an outcome should offer the initial number, such together multiplying -1 × -73, climate we get the number 73. Thus, we can consider both positive and an unfavorable factor bag of 73.

Table that Contents:

## What room the components of 144?

The components of 144 space the numbers that divide the number 144 specifically without leaving the remainder. In various other words, the determinants of 144 space the numbers that room multiplied in pairs leading to the number 144. As the number 144 is a composite number, that has more than 2 factors. The number 144 has actually 15 factors.

 Factors of 144 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144

## Pair factors of 144

To find the pair factors, main point the two numbers in a pair to obtain the initial number as 144, together numbers room as complies with

 Positive Pair Factor Negative Pair Factor 1 × 144 = 144 ⇒ (1, 144) -1 × -144 = 144 ⇒ (-1, -144) 2 × 72 = 144 ⇒ (2, 72) -2 × -72 = 144 ⇒ (-2, -72) 3 × 48 = 144 ⇒ (3, 48) -3 × -48 = 144 ⇒ (-3, -48) 4 × 36 = 144 ⇒ (4, 36 -4 × -36 = 144 ⇒ (-4, -36) 6 × 24 = 144 ⇒(6, 24) -6 × -24 = 144 ⇒(-6, -24) 8 × 18 = 144 ⇒ (8, 18) -8 × -18 = 144 ⇒ (-8, -18) 9 × 16 = 144 ⇒ (9, 16) -9 × -16 = 144 ⇒ (-9, -16) 12 × 12 = 144 ⇒(12, 12) -12 × -12 = 144 ⇒(-12, -12)

## How to calculation the Prime factors of 144?

Learn the following steps to calculate the factors of a number 144.

First, create the number 144Find the 2 numbers, which gives the result as 144 under the multiplication, say 2 and also 72, such together 2 × 72 = 144.We know that 2 is a prime number that has actually only two factors, i.e., 1 and also the number chin (1 and 2) which cannot be more factorized. 2 = 2 × 1But look at the number 72, which is a composite number but not a prime number and also it have the right to be more factorized. 72 deserve to be factorised together 2 x 2 x 2 x 3 x 3 x 1Therefore, the factorization of 144 is created as, 144 = 2 x 2 x 2 x 2 x 3 x 3 x 1Finally, create down every the distinctive numbers that are acquired as factors.

The number 144 is a composite and it should have prime factors. Currently let united state know just how to calculation the prime determinants of a number

Step 1: The an initial step is to division the number 144 with the the smallest prime factor, to speak 2.

144 ÷ 2 = 72

Step 2: Again division 72 through 2 and the procedure goes on.

72 ÷ 2 = 36

36 ÷ 2 = 18

18 ÷ 2 = 9

Step 3: you will acquire a fractional number if you division 9 by 2. So, proceed with the following prime factor, speak 3

9 ÷ 3 = 3

3 ÷ 3 = 1

Finally, we received the number 1 at the finish of the department process. So that we cannot continue further. So, the prime components are written as 2 x 2 x 2 x 2 × 3 x 3 or 24 x 32, where 2 and 3 space the element numbers.

It is feasible to discover the exact variety of factors the a number 144 with the assist of prime factorisation. The prime element of the 144 is 24 x 32. The index number in the prime factorisation are 4 and 2. Include the number 1 through the exponents and also multiply it. (4+1)(2+1) = 5 x 3 = 15. Therefore, the number 144 has actually 15 factors.

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### Examples

Example 1:

Find the typical factors of 144 and also 143

Solution:

The determinants of 144 space 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and also 144

The factors of 143 space 1, 11, 13 and 143

Therefore, the common factor that 144 and 143 is 1.

Example 2:

Find the common factors that 144 and also 145

Solution:

Factors that 144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144

Factors the 145 = 1, 5, 29, and also 145

Therefore, the usual factor of 144 and also 145 is 1.

Example 3:

Find the common factors of 144 and also 141.

Solution:

The determinants of 144 room 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and also 144

The determinants of 141 are 1, 3, 47, and 141.

Thus, the usual factors the 144 and 141 are 1 and also 3.

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