Factors of 55

2. Steps to find factors of 55 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 55 using the division method, follow these steps:

• Step 1. Start dividing 55 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 55, which is 5. Divide 55 by 5 to obtain the quotient (11).
  55 ÷ 5 = 11
• Step 3. Repeat step 1 with the obtained quotient (11).
  11 ÷ 11 = 1

So, the prime factorization of 55 is, 55 = 5 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 55 as shown below:

So, the prime factorization of 55 is, 55 = 5 x 11.

3. Find factors of 55 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 55 would be the two numbers which, when multiplied, give 55 as the result.

The following table represents the calculation of factors of 55 in pairs:

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 55. They are called negative pair factors.

Hence, the negative pairs of 55 would be ( -1 , -55 ) , ( -5 , -11 ) .

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 55 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, 11, 55 are exact divisors of 55.
• Factors of 55 are 1, 5, 11, 55. Each factor divides 55 without leaving a remainder.

Frequently Asked Questions

• What are the prime factors of 55?

  The factors of 55 are 1, 5, 11, 55.
  Prime factors of 55 are 5, 11.

• What is the sum of all factors of 55?

  The sum of all factors of 55 is 72.

• What are the pair factors of 55?

  Pair factors of 55 are (1,55), (5,11).

• What two numbers make 55?

  Two numbers that make 55 are 5 and 11.

• What are multiples of 55?

  First five multiples of 55 are 110, 165, 220, 275.

• Is 55 a perfect square?

  No 55 is not a perfect square.

• Which is greatest factor of 55?

  The greatest factor of 55 is 11.

• How do you factors of 55?

  Factors of 55 are 1, 5, 11, 55.

• What are five multiples of 55?

  First five multiples of 55 are 110, 165, 220, 275, 330.

Examples of Factors