Factors the 92 are the actual numbers that deserve to divide the original number, completely. If ‘n’ is the factor, then ‘n’ divides 92 into equal parts. For example, if 7 is the element of 21, then 21 divided by 7 is equal to 3. Thus, 7 divides 21 into three equal parts. Also, we have to observe, there is no remainder left after department and the quotient, produced, is a totality number.

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21 ÷ 7 = 3 Similarly, the determinants of 92, divide it into equal parts. Here, we will calculate the factors along with pair factors and prime factors.

## How to Find determinants of 92?

Factors the 92 are the integers that division the original number, evenly. 92 is a composite number, therefore, that has much more than two factors. Thus, every the components will division 92 right into equal parts.

To discover the factors, we need to start dividing 92 by the smallest natural number, i.e., 1.

92 ÷ 1 = 92

92 ÷ 2 = 46

92 ÷ 4 = 23

92 ÷ 23 = 4

92 ÷ 46 = 2

92 ÷ 92 = 1

Thus, the components of 92 room 1, 2, 4, 23, 46 and also 92.

## Pair factors of 92

The product that pair factors will result in the initial number. Thus, to discover the pair determinants of 92, we should multiply 2 such factors, the product the which outcomes in 92.

1 × 92 = 92

2 × 46 = 92

4 × 23 = 92

Therefore, the pair factors are (1, 92), (2, 46) and (4, 23).

As we deserve to see, these were the confident pair factors. Similarly, us can also consider negative pair determinants that will an outcome in the initial number.

-1 × -92 = 92

-2 × -46 = 92

-4 × -23 = 92

Therefore, the negative pair components are (-1, -92), (-2, -46) and also (-4, -23).

## Prime Factorisation of 92

Prime determinants of 92 divide the initial number right into equal parts. These room prime numbers that can be identified by the element factorization method.

According to element factorisation, we have to divide 92, by the element numbers, until we obtain 1 together the dividend.

Step 1: 92 is an even number, therefore it can be separated by the smallest prime number, i.e.,2

92/2 = 46

Step 2: Again 46 is an also number and divisible through 2

46/2 = 23

Step 3: 23 is itself a prime number, therefore, that is divisible by 23 only.

23/23 = 1

Therefore,

 Prime factorisation the 92 = 2 x 2 x 23 = 22 x 23

## Solved Examples

Q.1: There room 92 coins in a piggy bank. Nisha wants to divide these coins and put right into 4 separate piggy bank. How plenty of coins does each piggy bank hold at the end?

Solution: Given,

Number of coins = 92

Number that piggy financial institution = 4

Number the coins in every piggy financial institution = 92/4 = 23

Q.2: uncover the amount of every the factors of ninety-two.

Solution: The determinants of 92 space 1, 2, 4, 23, 46 and 92.

Sum = 1 + 2 + 4 + 23 + 46 + 92 = 168

Therefore, 168 is the forced sum.

Q.3: What is the greatest usual factor that 42 and also 92?

Answer: Let us write the components of both the numbers.

42 → 1, 2, 3, 6, 7, 14, 21, 42

92 → 1, 2, 4, 23, 46 and 92

Hence, the greatest common factor is 2.

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