# Factors of 552

Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, and 552

#### How to find factors of a number

 1.   Find factors of 552 using Division Method 2.   Find factors of 552 using Prime Factorization 3.   Find factors of 552 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 552

• Divide 552 by 1: 552 ÷ 1 : Remainder = 0
• Divide 552 by 2: 552 ÷ 2 : Remainder = 0
• Divide 552 by 3: 552 ÷ 3 : Remainder = 0
• Divide 552 by 4: 552 ÷ 4 : Remainder = 0
• Divide 552 by 6: 552 ÷ 6 : Remainder = 0
• Divide 552 by 8: 552 ÷ 8 : Remainder = 0
• Divide 552 by 12: 552 ÷ 12 : Remainder = 0
• Divide 552 by 23: 552 ÷ 23 : Remainder = 0
• Divide 552 by 24: 552 ÷ 24 : Remainder = 0
• Divide 552 by 46: 552 ÷ 46 : Remainder = 0
• Divide 552 by 69: 552 ÷ 69 : Remainder = 0
• Divide 552 by 92: 552 ÷ 92 : Remainder = 0
• Divide 552 by 138: 552 ÷ 138 : Remainder = 0
• Divide 552 by 184: 552 ÷ 184 : Remainder = 0
• Divide 552 by 276: 552 ÷ 276 : Remainder = 0
• Divide 552 by 552: 552 ÷ 552 : Remainder = 0

Hence, Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, and 552

#### 2. Steps to find factors of 552 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 552 using the division method, follow these steps:

• Step 1. Start dividing 552 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 552, which is 2. Divide 552 by 2 to obtain the quotient (276).
552 ÷ 2 = 276
• Step 3. Repeat step 1 with the obtained quotient (276).
276 ÷ 2 = 138
138 ÷ 2 = 69
69 ÷ 3 = 23
23 ÷ 23 = 1

So, the prime factorization of 552 is, 552 = 2 x 2 x 2 x 3 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 552 as shown below:

So, the prime factorization of 552 is, 552 = 2 x 2 x 2 x 3 x 23.

#### 3. Find factors of 552 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 552 would be the two numbers which, when multiplied, give 552 as the result.

The following table represents the calculation of factors of 552 in pairs:

Factor Pair Pair Factorization
1 and 552 1 x 552 = 552
2 and 276 2 x 276 = 552
3 and 184 3 x 184 = 552
4 and 138 4 x 138 = 552
6 and 92 6 x 92 = 552
8 and 69 8 x 69 = 552
12 and 46 12 x 46 = 552
23 and 24 23 x 24 = 552

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 552. They are called negative pair factors.

Hence, the negative pairs of 552 would be ( -1 , -552 ) , ( -2 , -276 ) , ( -3 , -184 ) , ( -4 , -138 ) , ( -6 , -92 ) , ( -8 , -69 ) , ( -12 , -46 ) and ( -23 , -24 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 552 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 552.
• Every number is a factor of zero (0), since 552 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, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552 are exact divisors of 552.
• Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552. Each factor divides 552 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552 are all less than or equal to 552.

• What are the prime factors of 552?

The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552.
Prime factors of 552 are 2, 2, 2, 3, 23.

• What two numbers make 552?

Two numbers that make 552 are 2 and 276.

• What is the greatest prime factors of 552?

The greatest prime factor of 552 is 23.

• What are factors of 552?

Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552.

• How do you find factors of a negative number? ( eg. -552 )?

Factors of -552 are -1, -2, -3, -4, -6, -8, -12, -23, -24, -46, -69, -92, -138, -184, -276, -552.

• What are five multiples of 552?

First five multiples of 552 are 1104, 1656, 2208, 2760, 3312.

• Write some multiples of 552?

First five multiples of 552 are 1104, 1656, 2208, 2760.

• Is 552 a perfect square?

No 552 is not a perfect square.

• What two numbers make 552?

Two numbers that make 552 are 2 and 276.

#### Examples of Factors

What is prime factorization of 552?

Prime factorization of 552 is 2 x 2 x 2 x 3 x 23 = 23 x 3 x 23.

Sammy is puzzled while calculating the prime factors of 552. Can you help him find them?

Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552.
Prime factors of 552 are 2, 2, 2, 3, 23

Kevin has been asked to write 15 factor(s) of 552. Can you predict the answer?

15 factor(s) of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276.

Joey wants to write all the prime factors of 552 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 552 are 2, 2, 2, 3, 23.
So in exponential form it can be written as 23 x 3 x 23.

How many factors are there for 552?

Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552.
So there are in total 16 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 552? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552.
Negative factors are -1, -2, -3, -4, -6, -8, -12, -23, -24, -46, -69, -92, -138, -184, -276, -552.

Can you help Rubel to find out the product of the even factors of 552?

Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552.
Even factors of 552 are 2, 4, 6, 8, 12, 24, 46, 92, 138, 184, 276, 552.
Hence, product of even factors of 552 is; 2 x 4 x 6 x 8 x 12 x 24 x 46 x 92 x 138 x 184 x 276 x 552 = 1810566332333162500.