Factors of 1553

The numbers that divide 1553 evenly are known as factors of 1553. A factor of 1553 is a number that divides the number without remainder. The factors of 1553 are 1, 11, 17, 23, 187, 253, 391, and 1553.

Negative factors of 1553: -1, -11, -17, -23, -187, -253, -391, and -1553.

Prime factors of 1553: 11, 17, and 23.

Prime factorization of 1553: 11 × 17 × 23.

The sum of factors of 1553: 1 + 11 + 17 + 23 + 187 + 253 + 391 + 1553 = 2436

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 1553. Identifying the numbers which are multiplied to get the number 1553 is the multiplication method.

Step 1: Multiply 1553 by 1, 1553 × 1 = 1553.

Step 2: Check for other numbers that give 1553 after multiplying

11 × 141 = 1553

17 × 91 = 1553

23 × 67 = 1553

Therefore, the positive factor pairs of 1553 are: (1, 1553), (11, 141), (17, 91), (23, 67). All these factor pairs result in 1553. 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 1553 by 1, 1553 ÷ 1 = 1553.

Step 2: Continue dividing 1553 by the numbers until the remainder becomes 0.

1553 ÷ 1 = 1553

1553 ÷ 11 = 141

1553 ÷ 17 = 91

1553 ÷ 23 = 67

Therefore, the factors of 1553 are: 1, 11, 17, 23, 187, 253, 391, 1553.

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 1553 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1553 ÷ 11 = 141

141 ÷ 11 = 13

13 is a prime number and cannot be divided further by any numbers other than itself and 1. The prime factors of 1553 are 11, 17, and 23. The prime factorization of 1553 is: 11 × 17 × 23.

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

Step 1: Firstly, 1553 is divided by 11 to get 141.

Step 2: Now divide 141 by 11 to get 13. Here, 13 is the smallest prime number and cannot be divided anymore. So, the prime factorization of 1553 is: 11 × 17 × 23.

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 1553: (1, 1553), (11, 141), (17, 91), and (23, 67).

• Negative factor pairs of 1553: (-1, -1553), (-11, -141), (-17, -91), and (-23, -67).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1553 are 1, 11, 17, 23, 187, 253, 391, and 1553.

• Prime factors: The factors which are prime numbers. For example, 11, 17, and 23 are prime factors of 1553.

• 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 1553 are (1, 1553), (11, 141), etc.

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1553 is 11 × 17 × 23.

• Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, 23 × 67 = 1553.