Factors of 926

The numbers that divide 926 evenly are known as factors of 926. A factor of 926 is a number that divides the number without remainder. The factors of 926 are 1, 2, 463, and 926.

Negative factors of 926: -1, -2, -463, and -926.

Prime factors of 926: 2 and 463.

Prime factorization of 926: 2 × 463.

The sum of factors of 926: 1 + 2 + 463 + 926 = 1392

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 926. Identifying the numbers which are multiplied to get the number 926 is the multiplication method.

Step 1: Multiply 926 by 1, 926 × 1 = 926.

Step 2: Check for other numbers that give 926 after multiplying

2 × 463 = 926

Therefore, the positive factor pairs of 926 are: (1, 926) and (2, 463). All these factor pairs result in 926. For every positive factor, there is a negative factor.

Dividing the given numbers by 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 a simple division method -

Step 1: Divide 926 by 1, 926 ÷ 1 = 926.

Step 2: Continue dividing 926 by the numbers until the remainder becomes 0.

926 ÷ 1 = 926

926 ÷ 2 = 463

Therefore, the factors of 926 are: 1, 2, 463, 926.

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

926 ÷ 2 = 463

463 ÷ 463 = 1

The prime factors of 926 are 2 and 463. The prime factorization of 926 is: 2 × 463.

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

Step 1: Firstly, 926 is divided by 2 to get 463.

Step 2: Now divide 463 by 463 to get 1. Here, 463 is a prime number and cannot be divided anymore. So, the prime factorization of 926 is: 2 × 463.

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 926: (1, 926) and (2, 463).

• Negative factor pairs of 926: (-1, -926) and (-2, -463).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 926 are 1, 2, 463, and 926.

• Prime factors: The factors which are prime numbers. For example, 2 and 463 are prime factors of 926.

• 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 926 are (1, 926) and (2, 463).

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 926 is 2 × 463.

• Negative factors: Negative numbers that multiply to give the original number. For 926, these are -1, -2, -463, and -926.