# Factors of 550

Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, and 550

#### How to find factors of a number

 1.   Find factors of 550 using Division Method 2.   Find factors of 550 using Prime Factorization 3.   Find factors of 550 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 550

• Divide 550 by 1: 550 ÷ 1 : Remainder = 0
• Divide 550 by 2: 550 ÷ 2 : Remainder = 0
• Divide 550 by 5: 550 ÷ 5 : Remainder = 0
• Divide 550 by 10: 550 ÷ 10 : Remainder = 0
• Divide 550 by 11: 550 ÷ 11 : Remainder = 0
• Divide 550 by 22: 550 ÷ 22 : Remainder = 0
• Divide 550 by 25: 550 ÷ 25 : Remainder = 0
• Divide 550 by 50: 550 ÷ 50 : Remainder = 0
• Divide 550 by 55: 550 ÷ 55 : Remainder = 0
• Divide 550 by 110: 550 ÷ 110 : Remainder = 0
• Divide 550 by 275: 550 ÷ 275 : Remainder = 0
• Divide 550 by 550: 550 ÷ 550 : Remainder = 0

Hence, Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, and 550

#### 2. Steps to find factors of 550 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 550 using the division method, follow these steps:

• Step 1. Start dividing 550 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 550, which is 2. Divide 550 by 2 to obtain the quotient (275).
550 ÷ 2 = 275
• Step 3. Repeat step 1 with the obtained quotient (275).
275 ÷ 5 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1

So, the prime factorization of 550 is, 550 = 2 x 5 x 5 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 550 as shown below:

So, the prime factorization of 550 is, 550 = 2 x 5 x 5 x 11.

#### 3. Find factors of 550 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 550 would be the two numbers which, when multiplied, give 550 as the result.

The following table represents the calculation of factors of 550 in pairs:

Factor Pair Pair Factorization
1 and 550 1 x 550 = 550
2 and 275 2 x 275 = 550
5 and 110 5 x 110 = 550
10 and 55 10 x 55 = 550
11 and 50 11 x 50 = 550
22 and 25 22 x 25 = 550

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 550. They are called negative pair factors.

Hence, the negative pairs of 550 would be ( -1 , -550 ) , ( -2 , -275 ) , ( -5 , -110 ) , ( -10 , -55 ) , ( -11 , -50 ) and ( -22 , -25 ) .

#### 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

• Each number is a factor of itself. Eg. 550 is a factor of itself.
• 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, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550 are exact divisors of 550.
• 1 is a factor of every number. Eg. 1 is a factor of 550.
• Every number is a factor of zero (0), since 550 x 0 = 0.

• What are the prime factors of 550?

The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550.
Prime factors of 550 are 2, 5, 5, 11.

• What is the sum of all factors of 550?

The sum of all factors of 550 is 1116.

• What are the pair factors of 550?

Pair factors of 550 are (1,550), (2,275), (5,110), (10,55), (11,50), (22,25).

• What two numbers make 550?

Two numbers that make 550 are 2 and 275.

• What are multiples of 550?

First five multiples of 550 are 1100, 1650, 2200, 2750.

• Is 550 a perfect square?

No 550 is not a perfect square.

• Which is greatest factor of 550?

The greatest factor of 550 is 275.

• How do you factors of 550?

Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550.

• What are five multiples of 550?

First five multiples of 550 are 1100, 1650, 2200, 2750, 3300.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 550?

Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550.
Even factors of 550 are 2, 10, 22, 50, 110, 550.
Hence, product of even factors of 550 is; 2 x 10 x 22 x 50 x 110 x 550 = 1331000000.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 550? Help her in writing all the factors.

Positive factors are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550.
Negative factors are -1, -2, -5, -10, -11, -22, -25, -50, -55, -110, -275, -550.

How many factors are there for 550?

Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550.
So there are in total 12 factors.

Sammy is puzzled while calculating the prime factors of 550. Can you help him find them?

Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550.
Prime factors of 550 are 2, 5, 5, 11

Joey wants to write all the prime factors of 550 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 550 are 2, 5, 5, 11.
So in exponential form it can be written as 2 x 52 x 11.

What is prime factorization of 550?

Prime factorization of 550 is 2 x 5 x 5 x 11 = 2 x 52 x 11.

Can you help Rubel to find out the product of the even factors of 550?

Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550.
Even factors of 550 are 2, 10, 22, 50, 110, 550.
Hence, product of even factors of 550 is; 2 x 10 x 22 x 50 x 110 x 550 = 1331000000.