Factors of 920

The numbers that divide 920 evenly are known as factors of 920. A factor of 920 is a number that divides the number without remainder. The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, and 920.

Negative factors of 920: -1, -2, -4, -5, -8, -10, -20, -23, -40, -46, -92, -115, -184, -230, -460, and -920.

Prime factors of 920: 2, 5, and 23.

Prime factorization of 920: 2³ × 5 × 23.

The sum of factors of 920: 1 + 2 + 4 + 5 + 8 + 10 + 20 + 23 + 40 + 46 + 92 + 115 + 184 + 230 + 460 + 920 = 2160

Factors can be found using different methods. Mentioned below are some commonly used methods:

1. Finding factors using multiplication
2. Finding factors using division method
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 920. Identifying the numbers which are multiplied to get the number 920 is the multiplication method.

Step 1: Multiply 920 by 1, 920 × 1 = 920.

Step 2: Check for other numbers that give 920 after multiplying

2 × 460 = 920

4 × 230 = 920

5 × 184 = 920

8 × 115 = 920

10 × 92 = 920

20 × 46 = 920

23 × 40 = 920

Therefore, the positive factor pairs of 920 are: (1, 920), (2, 460), (4, 230), (5, 184), (8, 115), (10, 92), (20, 46), (23, 40). For every positive factor, there is a negative factor.

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 920 by 1, 920 ÷ 1 = 920.

Step 2: Continue dividing 920 by the numbers until the remainder becomes 0.

920 ÷ 1 = 920

920 ÷ 2 = 460

920 ÷ 4 = 230

920 ÷ 5 = 184

920 ÷ 8 = 115

920 ÷ 10 = 92

920 ÷ 20 = 46

920 ÷ 23 = 40

Therefore, the factors of 920 are: 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920.

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:

• Using prime factorization
• Using factor tree

Using Prime Factorization: In this process, prime factors of 920 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

920 ÷ 2 = 460

460 ÷ 2 = 230

230 ÷ 2 = 115

115 ÷ 5 = 23

23 ÷ 23 = 1

The prime factors of 920 are 2, 5, and 23. The prime factorization of 920 is: 2³ × 5 × 23.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 920 is divided by 2 to get 460.

Step 2: Now divide 460 by 2 to get 230.

Step 3: Then divide 230 by 2 to get 115.

Step 4: Divide 115 by 5 to get 23. Here, 23 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 920 is: 2³ × 5 × 23.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

• Positive factor pairs of 920: (1, 920), (2, 460), (4, 230), (5, 184), (8, 115), (10, 92), (20, 46), (23, 40).

• Negative factor pairs of 920: (-1, -920), (-2, -460), (-4, -230), (-5, -184), (-8, -115), (-10, -92), (-20, -46), (-23, -40).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, and 920.

• Prime factors: The factors which are prime numbers. For example, 2, 5, and 23 are prime factors of 920.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 920 are (1, 920), (2, 460), etc.

• Prime factorization: Breaking down a number into its basic prime number components. For example, the prime factorization of 920 is 2³ × 5 × 23.

• Multiple: A number that can be divided by another number without a remainder. For example, 920 is a multiple of 23.