Factors of 917

The numbers that divide 917 evenly are known as factors of 917. A factor of 917 is a number that divides the number without remainder. The factors of 917 are 1, 7, 131, and 917.

Negative factors of 917: -1, -7, -131, and -917.

Prime factors of 917: 7 and 131.

Prime factorization of 917: 7 × 131.

The sum of factors of 917: 1 + 7 + 131 + 917 = 1056

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 917. Identifying the numbers that are multiplied to get the number 917 is the multiplication method.

Step 1: Multiply 917 by 1, 917 × 1 = 917.

Step 2: Check for other numbers that give 917 after multiplying

7 × 131 = 917

Therefore, the positive factor pairs of 917 are: (1, 917) and (7, 131). All these factor pairs result in 917. 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 917 by 1, 917 ÷ 1 = 917.

Step 2: Continue dividing 917 by the numbers until the remainder becomes 0.

917 ÷ 1 = 917

917 ÷ 7 = 131

917 ÷ 131 = 7

Therefore, the factors of 917 are: 1, 7, 131, and 917.

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

917 ÷ 7 = 131

131 ÷ 131 = 1

The prime factors of 917 are 7 and 131. The prime factorization of 917 is: 7 × 131.

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

Step 1: Firstly, 917 is divided by 7 to get 131.

Step 2: Now divide 131 by 131 to get 1. So, the prime factorization of 917 is: 7 × 131.

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 917: (1, 917) and (7, 131).

• Negative factor pairs of 917: (-1, -917) and (-7, -131).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 917 are 1, 7, 131, and 917.

• Prime factors: The factors which are prime numbers. For example, 7 and 131 are prime factors of 917.

• 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 917 are (1, 917) and (7, 131).

• Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 917 is 7 × 131.

• Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the original number.