Factors of 923

The numbers that divide 923 evenly are known as factors of 923. A factor of 923 is a number that divides the number without remainder. The factors of 923 are 1, 13, 71, and 923.

Negative factors of 923: -1, -13, -71, and -923.

Prime factors of 923: 13 and 71.

Prime factorization of 923: 13 × 71.

The sum of factors of 923: 1 + 13 + 71 + 923 = 1008

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 923. Identifying the numbers which are multiplied to get the number 923 is the multiplication method.

Step 1: Multiply 923 by 1, 923 × 1 = 923.

Step 2: Check for other numbers that give 923 after multiplying

13 × 71 = 923

Therefore, the positive factor pairs of 923 are: (1, 923) and (13, 71). All these factor pairs result in 923. 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 which result as whole numbers as factors. Factors can be calculated by following simple division method -

Step 1: Divide 923 by 1, 923 ÷ 1 = 923.

Step 2: Continue dividing 923 by the numbers until the remainder becomes 0.

923 ÷ 1 = 923

923 ÷ 13 = 71

923 ÷ 71 = 13

Therefore, the factors of 923 are: 1, 13, 71, 923.

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 923 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

923 ÷ 13 = 71

71 ÷ 71 = 1

The prime factors of 923 are 13 and 71. The prime factorization of 923 is: 13 × 71.

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

Step 1: Firstly, 923 is divided by 13 to get 71.

Step 2: Now divide 71 by 71 to get 1. Here, 71 is a prime number that cannot be divided anymore. So, the prime factorization of 923 is: 13 × 71.

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 923: (1, 923) and (13, 71).

• Negative factor pairs of 923: (-1, -923) and (-13, -71).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 923 are 1, 13, 71, and 923.

• Prime factors: The factors which are prime numbers. For example, 13 and 71 are prime factors of 923.

• 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 923 are (1, 923) and (13, 71).

• Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 923 is 13 × 71.

• Multiple: A number that can be divided by another number without leaving a remainder. For example, 923 is a multiple of 13.