# Factors of 532

Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, and 532

#### How to find factors of a number

 1.   Find factors of 532 using Division Method 2.   Find factors of 532 using Prime Factorization 3.   Find factors of 532 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 532

• Divide 532 by 1: 532 ÷ 1 : Remainder = 0
• Divide 532 by 2: 532 ÷ 2 : Remainder = 0
• Divide 532 by 4: 532 ÷ 4 : Remainder = 0
• Divide 532 by 7: 532 ÷ 7 : Remainder = 0
• Divide 532 by 14: 532 ÷ 14 : Remainder = 0
• Divide 532 by 19: 532 ÷ 19 : Remainder = 0
• Divide 532 by 28: 532 ÷ 28 : Remainder = 0
• Divide 532 by 38: 532 ÷ 38 : Remainder = 0
• Divide 532 by 76: 532 ÷ 76 : Remainder = 0
• Divide 532 by 133: 532 ÷ 133 : Remainder = 0
• Divide 532 by 266: 532 ÷ 266 : Remainder = 0
• Divide 532 by 532: 532 ÷ 532 : Remainder = 0

Hence, Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, and 532

#### 2. Steps to find factors of 532 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 532 using the division method, follow these steps:

• Step 1. Start dividing 532 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 532, which is 2. Divide 532 by 2 to obtain the quotient (266).
532 ÷ 2 = 266
• Step 3. Repeat step 1 with the obtained quotient (266).
266 ÷ 2 = 133
133 ÷ 7 = 19
19 ÷ 19 = 1

So, the prime factorization of 532 is, 532 = 2 x 2 x 7 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 532 as shown below:

So, the prime factorization of 532 is, 532 = 2 x 2 x 7 x 19.

#### 3. Find factors of 532 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 532 would be the two numbers which, when multiplied, give 532 as the result.

The following table represents the calculation of factors of 532 in pairs:

Factor Pair Pair Factorization
1 and 532 1 x 532 = 532
2 and 266 2 x 266 = 532
4 and 133 4 x 133 = 532
7 and 76 7 x 76 = 532
14 and 38 14 x 38 = 532
19 and 28 19 x 28 = 532

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 532. They are called negative pair factors.

Hence, the negative pairs of 532 would be ( -1 , -532 ) , ( -2 , -266 ) , ( -4 , -133 ) , ( -7 , -76 ) , ( -14 , -38 ) and ( -19 , -28 ) .

#### 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. 532 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 532.
• Every number is a factor of zero (0), since 532 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, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532 are exact divisors of 532.
• Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532. Each factor divides 532 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532 are all less than or equal to 532.

• What are the prime factors of 532?

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532.
Prime factors of 532 are 2, 2, 7, 19.

• What is the sum of all factors of 532?

The sum of all factors of 532 is 1120.

• What are the pair factors of 532?

Pair factors of 532 are (1,532), (2,266), (4,133), (7,76), (14,38), (19,28).

• What two numbers make 532?

Two numbers that make 532 are 2 and 266.

• What are multiples of 532?

First five multiples of 532 are 1064, 1596, 2128, 2660.

• Is 532 a perfect square?

No 532 is not a perfect square.

• Which is greatest factor of 532?

The greatest factor of 532 is 266.

• How do you factors of 532?

Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532.

• What are five multiples of 532?

First five multiples of 532 are 1064, 1596, 2128, 2660, 3192.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 532?

Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532.
Even factors of 532 are 2, 4, 14, 28, 38, 76, 266, 532.
Hence, product of even factors of 532 is; 2 x 4 x 14 x 28 x 38 x 76 x 266 x 532 = 1281641353216.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 532? Help her in writing all the factors.

Positive factors are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532.
Negative factors are -1, -2, -4, -7, -14, -19, -28, -38, -76, -133, -266, -532.

How many factors are there for 532?

Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532.
So there are in total 12 factors.

Sammy is puzzled while calculating the prime factors of 532. Can you help him find them?

Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532.
Prime factors of 532 are 2, 2, 7, 19

Joey wants to write all the prime factors of 532 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 532 are 2, 2, 7, 19.
So in exponential form it can be written as 22 x 7 x 19.

What is prime factorization of 532?

Prime factorization of 532 is 2 x 2 x 7 x 19 = 22 x 7 x 19.

Can you help Rubel to find out the product of the even factors of 532?

Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532.
Even factors of 532 are 2, 4, 14, 28, 38, 76, 266, 532.
Hence, product of even factors of 532 is; 2 x 4 x 14 x 28 x 38 x 76 x 266 x 532 = 1281641353216.