Factors of 921

The numbers that divide 921 evenly are known as factors of 921. A factor of 921 is a number that divides the number without remainder. The factors of 921 are 1, 3, 307, and 921.

Negative factors of 921: -1, -3, -307, and -921.

Prime factors of 921: 3 and 307.

Prime factorization of 921: 3 × 307.

The sum of factors of 921: 1 + 3 + 307 + 921 = 1232

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 921. Identifying the numbers which are multiplied to get the number 921 is the multiplication method.

Step 1: Multiply 921 by 1, 921 × 1 = 921.

Step 2: Check for other numbers that give 921 after multiplying

3 × 307 = 921

Therefore, the positive factor pairs of 921 are: (1, 921) and (3, 307). All these factor pairs result in 921. 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 a simple division method -

Step 1: Divide 921 by 1, 921 ÷ 1 = 921.

Step 2: Continue dividing 921 by the numbers until the remainder becomes 0.

921 ÷ 1 = 921

921 ÷ 3 = 307

Therefore, the factors of 921 are: 1, 3, 307, and 921.

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

921 ÷ 3 = 307

307 is a prime number and cannot be divided further. The prime factors of 921 are 3 and 307. The prime factorization of 921 is: 3 × 307.

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

Step 1: Firstly, 921 is divided by 3 to get 307. 307 is a prime number, which cannot be divided anymore. So, the prime factorization of 921 is: 3 × 307.

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 921: (1, 921) and (3, 307).
• Negative factor pairs of 921: (-1, -921) and (-3, -307).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 921 are 1, 3, 307, and 921.

• Prime factors: The factors which are prime numbers. For example, 3 and 307 are prime factors of 921.

• 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 921 are (1, 921) and (3, 307).

• Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 921 is 3 × 307.

• Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 921 is a multiple of 3.