Factors of 133

The numbers that divide 133 evenly are known as factors of 133. A factor of 133 is a number that divides the number without a remainder. The factors of 133 are 1, 7, 19, and 133.

Negative factors of 133: -1, -7, -19, and -133.

Prime factors of 133: 7 and 19.

Prime factorization of 133: 7 × 19.

The sum of factors of 133: 1 + 7 + 19 + 133 = 160

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 133. Identifying the numbers which are multiplied to get the number 133 is the multiplication method.

Step 1: Multiply 133 by 1, 133 × 1 = 133.

Step 2: Check for other numbers that give 133 after multiplying: 7 × 19 = 133

Therefore, the positive factor pairs of 133 are: (1, 133) and (7, 19). All these factor pairs result in 133. For every positive factor, there is a negative factor.

Dividing the given number 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 133 by 1, 133 ÷ 1 = 133.

Step 2: Continue dividing 133 by numbers until the remainder becomes 0.

133 ÷ 1 = 133

133 ÷ 7 = 19

Therefore, the factors of 133 are: 1, 7, 19, 133.

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 a factor tree

Using Prime Factorization: In this process, prime factors of 133 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

133 ÷ 7 = 19

19 ÷ 19 = 1

The prime factors of 133 are 7 and 19. The prime factorization of 133 is: 7 × 19.

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

Step 1: Firstly, 133 is divided by 7 to get 19.

Step 2: Now divide 19 by 19 to get 1. Here, 19 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 133 is: 7 × 19.

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 133: (1, 133) and (7, 19).
• Negative factor pairs of 133: (-1, -133) and (-7, -19).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 133 are 1, 7, 19, and 133.

• Prime factors: The factors which are prime numbers. For example, 7 and 19 are prime factors of 133.

• 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 133 are (1, 133) and (7, 19).

• Multiplication method: A method to find factors by identifying pairs of numbers that result in a given product, such as 133.

• Division method: A method to find factors by dividing the number by possible divisors, ensuring no remainder is left.