Factors of 908

The numbers that divide 908 evenly are known as factors of 908. A factor of 908 is a number that divides the number without a remainder. The factors of 908 are 1, 2, 4, 227, 454, and 908.

Negative factors of 908: -1, -2, -4, -227, -454, and -908.

Prime factors of 908: 2 and 227.

Prime factorization of 908: 2² × 227.

The sum of factors of 908: 1 + 2 + 4 + 227 + 454 + 908 = 1596

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

1. Finding factors using multiplication
2. Finding factors using the 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 908. Identifying the numbers which are multiplied to get the number 908 is the multiplication method.

Step 1: Multiply 908 by 1, 908 × 1 = 908.

Step 2: Check for other numbers that give 908 after multiplying

2 × 454 = 908

4 × 227 = 908

Therefore, the positive factor pairs of 908 are: (1, 908), (2, 454), (4, 227). All these factor pairs result in 908. For every positive factor, there is a negative factor.

Dividing the given numbers with 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 908 by 1, 908 ÷ 1 = 908.

Step 2: Continue dividing 908 by the numbers until the remainder becomes 0.

908 ÷ 1 = 908

908 ÷ 2 = 454

908 ÷ 4 = 227

Therefore, the factors of 908 are: 1, 2, 4, 227, 454, 908.

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

908 ÷ 2 = 454

454 ÷ 2 = 227

227 ÷ 227 = 1

The prime factors of 908 are 2 and 227. The prime factorization of 908 is: 2² × 227.

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

Step 1: Firstly, 908 is divided by 2 to get 454.

Step 2: Now divide 454 by 2 to get 227.

Step 3: Here, 227 is a prime number and cannot be divided further. So, the prime factorization of 908 is: 2² × 227.

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 908: (1, 908), (2, 454), and (4, 227).
• Negative factor pairs of 908: (-1, -908), (-2, -454), and (-4, -227).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 908 are 1, 2, 4, 227, 454, and 908.

• Prime factors: The factors which are prime numbers. For example, 2 and 227 are prime factors of 908.

• 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 908 are (1, 908), (2, 454), etc.

• Prime factorization: The process of expressing a number as the product of its prime factors. For example, 908 = 2² × 227.

• Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to the original number. For example, using multiplication, factors of 908 are found as (1, 908), (2, 454), and (4, 227).