# Factors of 551

Factors of 551 are 1, 19, 29, and 551

#### How to find factors of a number

 1.   Find factors of 551 using Division Method 2.   Find factors of 551 using Prime Factorization 3.   Find factors of 551 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 551

• Divide 551 by 1: 551 ÷ 1 : Remainder = 0
• Divide 551 by 19: 551 ÷ 19 : Remainder = 0
• Divide 551 by 29: 551 ÷ 29 : Remainder = 0
• Divide 551 by 551: 551 ÷ 551 : Remainder = 0

Hence, Factors of 551 are 1, 19, 29, and 551

#### 2. Steps to find factors of 551 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 551 using the division method, follow these steps:

• Step 1. Start dividing 551 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 551, which is 19. Divide 551 by 19 to obtain the quotient (29).
551 ÷ 19 = 29
• Step 3. Repeat step 1 with the obtained quotient (29).
29 ÷ 29 = 1

So, the prime factorization of 551 is, 551 = 19 x 29.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 551 as shown below:

So, the prime factorization of 551 is, 551 = 19 x 29.

#### 3. Find factors of 551 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 551 would be the two numbers which, when multiplied, give 551 as the result.

The following table represents the calculation of factors of 551 in pairs:

Factor Pair Pair Factorization
1 and 551 1 x 551 = 551
19 and 29 19 x 29 = 551

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 551. They are called negative pair factors.

Hence, the negative pairs of 551 would be ( -1 , -551 ) , ( -19 , -29 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 551 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, 19, 29, 551 are exact divisors of 551.
• Factors of 551 are 1, 19, 29, 551. Each factor divides 551 without leaving a remainder.

• What two numbers make 551?

Two numbers that make 551 are 19 and 29.

• What is prime factorization of 551?

Prime factorization of 551 is 19 x 29.

• Write some multiples of 551?

First five multiples of 551 are 1102, 1653, 2204, 2755.

• Which is the smallest prime factor of 551?

The smallest prime factor of 551 is 19.

• Is 551 a perfect square?

No 551 is not a perfect square.

• What is the sum of all factors of 551?

The sum of all factors of 551 is 600.

• What are factors of 551?

Factors of 551 are 1, 19, 29, 551.

• How do you find factors of a negative number? ( eg. -551 )?

Factors of -551 are -1, -19, -29, -551.

• Is 551 a whole number?

Yes 551 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 551. Help him in finding the mean of 551.

Factors of 551 are 1, 19, 29, 551.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 551 is 1 + 19 + 29 + 551 = 600.
Hence, the mean of factors of 551 is 600 ÷ 4 = 150.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 551? Help her in writing all the factors.

Positive factors are 1, 19, 29, 551.
Negative factors are -1, -19, -29, -551.

Joey wants to write all the prime factors of 551 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 551 are 19, 29.
So in exponential form it can be written as 19 x 29.

Kevin has been asked to write 3 factor(s) of 551. Can you predict the answer?

3 factor(s) of 551 are 1, 19, 29.

Sammy is puzzled while calculating the prime factors of 551. Can you help him find them?

Factors of 551 are 1, 19, 29, 551.
Prime factors of 551 are 19, 29

What is prime factorization of 551?

Prime factorization of 551 is 19 x 29 = 19 x 29.

Can you help Rubel to find out the product of the even factors of 551?

Factors of 551 are 1, 19, 29, 551.
Even factors of 551 are 0.
Hence, product of even factors of 551 is; 0 = 0.