# Factors of 92—with Easy division and prime factorization

Contents

**Factors of 92**

**The factors of 92 are the real numbers that can totally divide the original number**.

The factor n divides 92 into equal parts. As an example, if 7 is the factor of 21, then 21 divided by 7 equals 3. Therefore, 7 divides 21 into three equal parts. Furthermore, we need to note that the result of division leaves no remainder, and the quotient produced is a whole number.

**21 ÷ 7 = 3** [Remainder = 0 and quotient = 3]

Similarly, the factors of 92 divide it equally. Let us calculate the factors as well as pair factors and prime factors.

**What are the Factors of -92?**

When we multiply two numbers, and we get -92 as a product, those numbers are the factors of -92.

Here is the explanation:

-1 × 92 = -92

1 × -92 = -92

-2 × 46 = -92

2 × -46 = -92

-4 × 23 = -92

4 × -23 = -92

We can get -92 by having (-1, 92), (-2, 46), and(-4, 23), as a pair of factors. Similarly, we can also get -92 by having (1, -92), (2, -46), and(4, -23), as a pair of factors.

**How to Find Factors of 92?**

The factors of 92 are integers that divide the original number evenly. 92 has more than two factors since it is a composite number. As a result, 92 can be divided into equal parts by all the factors.

We can find the factors by 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

Therefore, factors 92 are 1, 2, 4, 23, 46, and 92.

**Pair Factors of 92**

The original number will be the product of the pair factors. So, we need to multiply two such factors to get the pair factors of 92, whose product is 92.

1 × 92 = 92

2 × 46 = 92

4 × 23 = 92

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

Here we have the positive pair factors. Similarly, we can take into account negative pair factors that will result in the original number.

-1 × -92 = 92

-2 × -46 = 92

-4 × -23 = 92

Thus, the **negative pair factors are **(-1, -92), (-2, -46) and (-4, -23).

**Prime Factorization of 92**

In prime factors of 92, the original number is divided into equal parts. The prime factorization method can be used to determine these numbers.

As a result of prime factorization, we have to divide 92 by the prime number until we get 1.

**Step 1: **

Since 92 is an even number, it can be divided by the smallest prime number, 2.

**92/2 = 46**

**Step 2:**

Again, 46 is an even number and is divisible by 2.

**46/2 = 23**

**Step 3**:

The prime number 23 is divisible only by 23, so it is a prime number.

**23/23 = 1**

Therefore,

Prime factorization of 92 = 2 × 2 × 23 = 22 × 23 |

**Solved Examples**

**Q.1: There are 92 apples in a basket. Nisha wants to divide these apples and put them into 4 separate baskets. How many apples does each basket hold at the end?**

**Solution**:

Given,

Number of apples= **92**

Number of baskets =** 4**

Number of apples in each basket =** 92/4 = 23**

**Q.2: Find the sum of all the factors of 92.**

**Solution**:

Factors of 92 = **1, 2, 4, 23, 46 and 92**.

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

Therefore, 168 is the required sum.

**Q.3: What is the greatest common factor between 42 and 92?**

**Solution**:

Both numbers have factors, so let’s write them down.

factor of 42 → **1, 2, 3, 6, 7, 14, 21, 42.**

92 →** 1, 2, 4, 23, 46 and 92.**

Therefore, the greatest common factor is 2.

Link Related Factors | ||

Factors of 30 = 1,2,3,5,6,10,15 and 30. | All factor of 24 = 1, 2, 3, 4, 6, 8, 12 and 24. | Prime factorization of 34 = 1,2, 17, and 34. |

Factors of 36 = 1,2,3,4,6,9,12,18, and 36. | Factors of 38= 1, 2, 19, 38. | All Factor of 42 = 1, 2, 3, 6, 7, 14, 21, and 42. |

Factors of 45 = 1, 3, 5, 9, 15, and 45. | Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. | Factor of 46 = 1, 2, 23, and 46. |

Factors of 50 = 1, 2, 5, 10, 25, 50. | Factors of 54 = 1, 2, 3, 6, 9, 18, 27 and 54. | All Factor of 99 = 1, 3, 9, 11, 33, and 99. |

**FAQ`s**

### 1. What are the factors of 92?

There are six factors of 92, which are 1, 2, 4, 23, 46, and 92.

### 2. What are the multiples of 92?

The first ten multiples of 92 are 92, 184, 276, 368, 460, 552, 644, 736, 828 and 920.

### 3. Is 92 a prime or composite?

92 has more than two factors, making it a composite number.

### 4. What is 92 as a product of primes?

Prime factorization of 92 = **2 × 2 × 23 or 22 × 23**

### 5. The product of which two factors produce 92?

There are three pair factors that produce 92: (1, 92), (2, 46), and (4, 23).

### 6. What is the GCF of 92 and 23?

The GCF for 92 and 23 is 23.

23 → **1, 23**

92 →** 1, 2, 4, 23, 46, 92**

Therefore, 23 and 92 have the greatest number of shared factors.