# Factors of 655

Factors of 655 are 1, 5, 131, and 655

#### How to find factors of a number

 1.   Find factors of 655 using Division Method 2.   Find factors of 655 using Prime Factorization 3.   Find factors of 655 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 655

• Divide 655 by 1: 655 ÷ 1 : Remainder = 0
• Divide 655 by 5: 655 ÷ 5 : Remainder = 0
• Divide 655 by 131: 655 ÷ 131 : Remainder = 0
• Divide 655 by 655: 655 ÷ 655 : Remainder = 0

Hence, Factors of 655 are 1, 5, 131, and 655

#### 2. Steps to find factors of 655 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 655 using the division method, follow these steps:

• Step 1. Start dividing 655 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 655, which is 5. Divide 655 by 5 to obtain the quotient (131).
655 ÷ 5 = 131
• Step 3. Repeat step 1 with the obtained quotient (131).
131 ÷ 131 = 1

So, the prime factorization of 655 is, 655 = 5 x 131.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 655 as shown below:

So, the prime factorization of 655 is, 655 = 5 x 131.

#### 3. Find factors of 655 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 655 would be the two numbers which, when multiplied, give 655 as the result.

The following table represents the calculation of factors of 655 in pairs:

Factor Pair Pair Factorization
1 and 655 1 x 655 = 655
5 and 131 5 x 131 = 655

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 655. They are called negative pair factors.

Hence, the negative pairs of 655 would be ( -1 , -655 ) , ( -5 , -131 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 655 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 5, 131, 655 are exact divisors of 655.
• Factors of 655 are 1, 5, 131, 655. Each factor divides 655 without leaving a remainder.

• Which is the smallest prime factor of 655?

The smallest prime factor of 655 is 5.

• Is 655 a whole number?

Yes 655 is a whole number.

• What are the prime factors of 655?

The factors of 655 are 1, 5, 131, 655.
Prime factors of 655 are 5, 131.

• What two numbers make 655?

Two numbers that make 655 are 5 and 131.

• What are multiples of 655?

First five multiples of 655 are 1310, 1965, 2620, 3275.

• What is the sum of all factors of 655?

The sum of all factors of 655 is 792.

• What are five multiples of 655?

First five multiples of 655 are 1310, 1965, 2620, 3275, 3930.

• Is 655 a perfect square?

No 655 is not a perfect square.

• What is the greatest prime factors of 655?

The greatest prime factor of 655 is 131.

#### Examples of Factors

How many factors are there for 655?

Factors of 655 are 1, 5, 131, 655.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 655. Can you predict the answer?

3 factor(s) of 655 are 1, 5, 131.

Sammy is puzzled while calculating the prime factors of 655. Can you help him find them?

Factors of 655 are 1, 5, 131, 655.
Prime factors of 655 are 5, 131

What is prime factorization of 655?

Prime factorization of 655 is 5 x 131 = 5 x 131.

Ariel has been assigned the task to find the product of all the prime factors of 655. Can you help her?

Prime factors of 655 are 5, 131.
Hence, the product of prime factors of 655.

Can you help Rubel to find out the product of the even factors of 655?

Factors of 655 are 1, 5, 131, 655.
Even factors of 655 are 0.
Hence, product of even factors of 655 is; 0 = 0.

Joy wants to calculate mean of all the factors of 655. Help him in finding the mean of 655.

Factors of 655 are 1, 5, 131, 655.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 655 is 1 + 5 + 131 + 655 = 792.
Hence, the mean of factors of 655 is 792 ÷ 4 = 198.00.