Factors of 655

The numbers that divide 655 evenly are known as factors of 655. A factor of 655 is a number that divides the number without remainder. The factors of 655 are 1, 5, 131, and 655.

Negative factors of 655: -1, -5, -131, and -655.

Prime factors of 655: 5 and 131.

Prime factorization of 655: 5 × 131.

The sum of factors of 655: 1 + 5 + 131 + 655 = 792

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 655. Identifying the numbers which are multiplied to get the number 655 is the multiplication method.

Step 1: Multiply 655 by 1, 655 × 1 = 655.

Step 2: Check for other numbers that give 655 after multiplying 5 × 131 = 655

Therefore, the positive factor pairs of 655 are: (1, 655) and (5, 131). All these factor pairs result in 655. 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 655 by 1, 655 ÷ 1 = 655.

Step 2: Continue dividing 655 by the numbers until the remainder becomes 0.

655 ÷ 1 = 655

655 ÷ 5 = 131

Therefore, the factors of 655 are: 1, 5, 131, 655.

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

655 ÷ 5 = 131

131 ÷ 131 = 1

The prime factors of 655 are 5 and 131. The prime factorization of 655 is: 5 × 131.

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

Step 1: Firstly, 655 is divided by 5 to get 131.

Step 2: 131 is a prime number and cannot be divided further except by itself. So, the prime factorization of 655 is: 5 × 131.

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 655: (1, 655) and (5, 131).
• Negative factor pairs of 655: (-1, -655) and (-5, -131).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 655 are 1, 5, 131, and 655.

• Prime factors: The factors which are prime numbers. For example, 5 and 131 are prime factors of 655.

• 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 655 are (1, 655), (5, 131).

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 655 is 5 × 131.

• Division method: A method to find factors by dividing the given number by whole numbers until the remainder is zero.