Factors of 927

The numbers that divide 927 evenly are known as factors of 927. A factor of 927 is a number that divides the number without a remainder. The factors of 927 are 1, 3, 309, and 927.

Negative factors of 927: -1, -3, -309, and -927.

Prime factors of 927: 3 and 103.

Prime factorization of 927: 3 × 103.

The sum of factors of 927: 1 + 3 + 309 + 927 = 1240

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 927. Identifying the numbers which are multiplied to get the number 927 is the multiplication method.

Step 1: Multiply 927 by 1, 927 × 1 = 927.

Step 2: Check for other numbers that give 927 after multiplying

3 × 309 = 927

Therefore, the positive factor pairs of 927 are: (1, 927) and (3, 309). All these factor pairs result in 927. 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 a whole number as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 927 by 1, 927 ÷ 1 = 927.

Step 2: Continue dividing 927 by the numbers until the remainder becomes 0.

927 ÷ 1 = 927

927 ÷ 3 = 309

Therefore, the factors of 927 are: 1, 3, 309, and 927.

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

927 ÷ 3 = 309

309 ÷ 3 = 103

103 ÷ 103 = 1

The prime factors of 927 are 3 and 103. The prime factorization of 927 is: 3 × 103.

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

Step 1: Firstly, 927 is divided by 3 to get 309.

Step 2: Now divide 309 by 3 to get 103. Here, 103 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 927 is: 3 × 103.

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 927: (1, 927) and (3, 309).

• Negative factor pairs of 927: (-1, -927) and (-3, -309).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 927 are 1, 3, 309, and 927.

• Prime factors: The factors which are prime numbers. For example, 3 and 103 are prime factors of 927.

• 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 927 are (1, 927) and (3, 309).

• Negative factors: Factors that are negative, parallel to positive ones, such as -1, -3, -309, and -927 for 927.

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 927 is 3 × 103.