Factors of 933

The numbers that divide 933 evenly are known as factors of 933. A factor of 933 is a number that divides the number without remainder. The factors of 933 are 1, 3, 311, and 933.

Negative factors of 933: -1, -3, -311, and -933.

Prime factors of 933: 3 and 311.

Prime factorization of 933: 3 × 311.

The sum of factors of 933: 1 + 3 + 311 + 933 = 1248

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 933. Identifying the numbers which are multiplied to get the number 933 is the multiplication method.

Step 1: Multiply 933 by 1, 933 × 1 = 933.

Step 2: Check for other numbers that give 933 after multiplying

3 × 311 = 933

Therefore, the positive factor pairs of 933 are: (1, 933) and (3, 311). All these factor pairs result in 933. 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 933 by 1, 933 ÷ 1 = 933.

Step 2: Continue dividing 933 by the numbers until the remainder becomes 0.

933 ÷ 1 = 933

933 ÷ 3 = 311

Therefore, the factors of 933 are: 1, 3, 311, and 933.

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

933 ÷ 3 = 311

311 ÷ 311 = 1

The prime factors of 933 are 3 and 311. The prime factorization of 933 is: 3 × 311.

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

Step 1: Firstly, 933 is divided by 3 to get 311.

Step 2: Divide 311 by 311 to get 1. Here, 311 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 933 is: 3 × 311.

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 933: (1, 933) and (3, 311).

• Negative factor pairs of 933: (-1, -933) and (-3, -311).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 933 are 1, 3, 311, and 933.

• Prime factors: The factors which are prime numbers. For example, 3 and 311 are prime factors of 933.

• 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 933 are (1, 933) and (3, 311).

• Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 933 is 3 × 311.

• Negative factors: Factors that are negative counterparts of positive factors. For example, the negative factors of 933 are -1, -3, -311, and -933.