Factors of 1535

The numbers that divide 1535 evenly are known as factors of 1535. A factor of 1535 is a number that divides the number without remainder. The factors of 1535 are 1, 5, 307, and 1535.

Negative factors of 1535: -1, -5, -307, and -1535.

Prime factors of 1535: 5 and 307.

Prime factorization of 1535: 5 × 307.

The sum of factors of 1535: 1 + 5 + 307 + 1535 = 1848

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 1535. Identifying the numbers that are multiplied to get the number 1535 is the multiplication method.

Step 1: Multiply 1535 by 1, 1535 × 1 = 1535.

Step 2: Check for other numbers that give 1535 after multiplying 5 × 307 = 1535

Therefore, the positive factor pairs of 1535 are: (1, 1535) and (5, 307). All these factor pairs result in 1535. 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 that result as whole numbers as factors. Factors can be calculated by following a simple division method:

Step 1: Divide 1535 by 1, 1535 ÷ 1 = 1535.

Step 2: Continue dividing 1535 by the numbers until the remainder becomes 0.

1535 ÷ 1 = 1535

1535 ÷ 5 = 307

1535 ÷ 307 = 5

Therefore, the factors of 1535 are: 1, 5, 307, 1535.

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 1535 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1535 ÷ 5 = 307

307 ÷ 307 = 1

The prime factors of 1535 are 5 and 307. The prime factorization of 1535 is: 5 × 307.

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

Step 1: Firstly, 1535 is divided by 5 to get 307.

Step 2: 307 is already a prime number, so it cannot be divided further. So, the prime factorization of 1535 is: 5 × 307.

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 1535: (1, 1535) and (5, 307).

• Negative factor pairs of 1535: (-1, -1535) and (-5, -307).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1535 are 1, 5, 307, and 1535.

• Prime factors: The factors which are prime numbers. For example, 5 and 307 are prime factors of 1535.

• 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 1535 are (1, 1535) and (5, 307).

• Prime factorization: The process of expressing a number as the product of its prime factors. For 1535, it is 5 × 307.

• Multiplication method: A method used to find factors by identifying pairs of numbers multiplied to get the original number.