Factors of 1533

The numbers that divide 1533 evenly are known as factors of 1533. A factor of 1533 is a number that divides the number without a remainder. The factors of 1533 are 1, 3, 9, 13, 27, 39, 51, 117, 171, 459, 511, and 1533.

Negative factors of 1533: -1, -3, -9, -13, -27, -39, -51, -117, -171, -459, -511, and -1533.

Prime factors of 1533: 3, 13, and 39.

Prime factorization of 1533: 3 × 3 × 13 × 13.

The sum of factors of 1533: 1 + 3 + 9 + 13 + 27 + 39 + 51 + 117 + 171 + 459 + 511 + 1533 = 2934

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 1533. Identifying the numbers which are multiplied to get the number 1533 is the multiplication method.

Step 1: Multiply 1533 by 1, 1533 × 1 = 1533.

Step 2: Check for other numbers that give 1533 after multiplying

3 × 511 = 1533

9 × 171 = 1533

13 × 117 = 1533

27 × 57 = 1533

Therefore, the positive factor pairs of 1533 are: (1, 1533), (3, 511), (9, 171), (13, 117), (27, 57). All these factor pairs result in 1533. 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 1533 by 1, 1533 ÷ 1 = 1533.

Step 2: Continue dividing 1533 by the numbers until the remainder becomes 0.

1533 ÷ 1 = 1533

1533 ÷ 3 = 511

1533 ÷ 9 = 171

1533 ÷ 13 = 117

1533 ÷ 27 = 57

Therefore, the factors of 1533 are: 1, 3, 9, 13, 27, 39, 51, 117, 171, 459, 511, 1533.

The factors can be found by dividing them 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 1533 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1533 ÷ 3 = 511

511 ÷ 13 = 39

39 ÷ 3 = 13

13 ÷ 13 = 1

The prime factors of 1533 are 3, 13, and 39. The prime factorization of 1533 is: 3 × 3 × 13 × 13.

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

Step 1: Firstly, 1533 is divided by 3 to get 511.

Step 2: Now divide 511 by 13 to get 39.

Step 3: Then divide 39 by 3 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1533 is: 3 × 3 × 13 × 13.

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 1533: (1, 1533), (3, 511), (9, 171), (13, 117), and (27, 57).

• Negative factor pairs of 1533: (-1, -1533), (-3, -511), (-9, -171), (-13, -117), and (-27, -57).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1533 are 1, 3, 9, 13, 27, 39, 51, 117, 171, 459, 511, and 1533.

• Prime factors: The factors which are prime numbers. For example, 3 and 13 are prime factors of 1533.

• 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 1533 are (1, 1533), (3, 511), etc.

• Multiples: A multiple of a number is the product of that number and an integer. For example, 1533 is a multiple of 9.

• Prime factorization: It is the process of expressing a number as the product of its prime factors. For example, the prime factorization of 1533 is 3 × 3 × 13 × 13.