Factors of 655: Prime Factorization, Methods, and Examples

When divided by 655, the numbers that make up 655’s factors leave no residual. Therefore, the numbers that divide 655, in the end, are its components. Both positive and negative influences may be present. 

Factors Of 655

The greatest of the 4 factors in the given number is 655

Factors of 655

Here are the factors of number 655.

Factors of 655:  1, 5, 131 and 655

Negative Factors of 655

The negative factors of 655 are similar to its positive aspects, just with a negative sign.

Negative Factors of 655: -1, -5, -131 and -655

Prime Factorization of 655

The prime factorization of 655 is the way of expressing its prime factors in the product form.

Prime Factorization: 5 x 131

In this article, we will learn about the factors of 655 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

What Are the Factors of 655?

The factors 655 are  1, 5, 131 and 655. These numbers are the factors as they do not leave any remainder when divided by 655.

The factors 655 are classified as prime numbers and composite numbers. The prime factors of the number 655 can be determined using the prime factorization technique.

How To Find the Factors of 655?

You can find the factors of 655 by using the rules of divisibility. The divisibility rule states that any number, when divided by any other natural number, is said to be divisible by the number if the quotient is the whole number and the resulting remainder is zero.

To find the factors of 655, create a list containing the numbers that are exactly divisible by 655 with zero remainders. One important thing to note is that 1 and 655 are 655’s factors, as every natural number has 1 and the number itself as its factor.

1 is also called the universal factor of every number. The factors of 655 are determined as follows:

\[\dfrac{655}{1} = 655\]

\[\dfrac{655}{5} = 131\]

\[\dfrac{655}{131} = 5\]

\[\dfrac{655}{655} = 1\]

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

Total Number of Factors of 655

For 655, there are 4 positive factors and 4 negative ones. So in total, there are 8 factors of 655. 

To find the total number of factors of the given number, follow the procedure mentioned below:

  1. Find the factorization/prime factorization of the given number.
  2. Demonstrate the prime factorization of the number in the form of exponent form.
  3. Add 1 to each of the exponents of the prime factor.
  4. Now, multiply the resulting exponents together. This obtained product is equivalent to the total number of factors of the given number.

By following this procedure, the total number of factors of 655 is given as:

Factorization of 655 is 1 x 5 x 131.

The exponent of 1, 5, and 131 is 1.

Adding 1 to each and multiplying them together results in 8.

Therefore, the total number of factors of 655 is 8. 4 are positive, and 4 factors are negative.

Important Notes

Here are some essential points that must be considered while finding the factors of any given number:

  • The factor of any given number must be a whole number.
  • The factors of the number cannot be in the form of decimals or fractions.
  • Factors can be positive as well as negative.
  • Negative factors are the additive inverse of the positive factors of a given number.
  • The factor of a number cannot be greater than that number.
  • Every even number has 2 as its prime factor, the smallest prime factor.

Factors of 655 by Prime Factorization

The number 655 is a composite number. Prime factorization is a valuable technique for finding the number’s prime factors and expressing the number as the product of its prime factors.prime factorization of 655

Before finding the factors of 655 using prime factorization, let us find out what prime factors are. Prime factors are the factors of any given number that are only divisible by 1 and themselves.

To start the prime factorization of 655, start dividing by its most minor prime factor. First, determine that the given number is either even or odd. If it is an even number, then 2 will be the smallest prime factor.

Continue splitting the quotient obtained until 1 is received as the quotient. The prime factorization of 655 can be expressed as:

655 = 5 x 131

Factors of 655 in Pairs

The factor pairs are the duplet of numbers that, when multiplied together, result in the factorized number. Factor pairs can be more than one depending on the total number of factors given.Factors of 655 in Pairs

For 655, the factor pairs can be found as:

1 x 655 = 655

5 x 131= 655

The possible factor pairs of 655 are given as (1, 655) and (5, 131 ).

All these numbers in pairs, when multiplied, give 655 as the product.

The negative factor pairs of 655 are given as:

-1 x -655 = 655

-5 x -131= 655

It is important to note that in negative factor pairs, the minus sign has been multiplied by the minus sign, due to which the resulting product is the original positive number. Therefore,-1, -5, -131 and -655 are called negative factors of 655.

The list of all the factors of 655, including positive as well as negative numbers, is given below.

Factor list of 655: 1,-1, 5,-5, 131,-131, 655, and -655

Factors of 655 Solved Examples

To better understand the concept of factors, let’s solve some examples.

Example 1

How many factors of 655 are there?


The total number of Factors of 655 is 8.

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

Example 2

Find the factors of 655 using prime factorization.


The prime factorization of 655 is given as:

655 $\div$ 1 = 655 

655  $\div$ 655  = 1 

So the prime factorization of 655 can be written as:

5 x 131  = 655

Factors of 654|Factors List| Factors of 656