Factors of 1531

The numbers that divide 1531 evenly are known as factors of 1531. A factor of 1531 is a number that divides the number without remainder. The factors of 1531 are 1, 13, 47, 169, 361, and 1531.

Negative factors of 1531: -1, -13, -47, -169, -361, and -1531.

Prime factors of 1531: 13, 47.

Prime factorization of 1531: 13 × 47.

The sum of factors of 1531: 1 + 13 + 47 + 169 + 361 + 1531 = 2122

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 1531. Identifying the numbers which are multiplied to get the number 1531 is the multiplication method.

Step 1: Multiply 1531 by 1, 1531 × 1 = 1531.

Step 2: Check for other numbers that give 1531 after multiplying

13 × 117 = 1531

47 × 33 = 1531

Therefore, the positive factor pairs of 1531 are: (1, 1531), (13, 117), and (47, 33). For every positive factor, there is a negative factor.

Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 1531 by 1, 1531 ÷ 1 = 1531.

Step 2: Continue dividing 1531 by the numbers until the remainder becomes 0.

1531 ÷ 1 = 1531

1531 ÷ 13 = 117

1531 ÷ 47 = 33

Therefore, the factors of 1531 are: 1, 13, 47, 117, 361, and 1531.

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 1531 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1531 ÷ 13 = 117

117 ÷ 13 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

The prime factors of 1531 are 13 and 47. The prime factorization of 1531 is: 13 × 47.

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

Step 1: Firstly, 1531 is divided by 13 to get 117.

Step 2: Now divide 117 by 13 to get 9.

Step 3: Then divide 9 by 3 to get 3. Here, 3 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1531 is: 13 × 47.

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 1531: (1, 1531), (13, 117), (47, 33).

• Negative factor pairs of 1531: (-1, -1531), (-13, -117), (-47, -33).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1531 are 1, 13, 47, 117, 361, and 1531.

• Prime factors: The factors which are prime numbers. For example, 13 and 47 are prime factors of 1531.

• 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 1531 are (1, 1531), (13, 117), (47, 33).

• Prime factorization: The process of expressing a number as the product of its prime factors. For example, 1531 can be expressed as 13 × 47.

• Negative factors: Factors that are negative numbers. For example, -1, -13, -47, etc., are negative factors of 1531.