# Factors of 531

Factors of 531 are 1, 3, 9, 59, 177, and 531

#### How to find factors of a number

 1.   Find factors of 531 using Division Method 2.   Find factors of 531 using Prime Factorization 3.   Find factors of 531 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 531

• Divide 531 by 1: 531 ÷ 1 : Remainder = 0
• Divide 531 by 3: 531 ÷ 3 : Remainder = 0
• Divide 531 by 9: 531 ÷ 9 : Remainder = 0
• Divide 531 by 59: 531 ÷ 59 : Remainder = 0
• Divide 531 by 177: 531 ÷ 177 : Remainder = 0
• Divide 531 by 531: 531 ÷ 531 : Remainder = 0

Hence, Factors of 531 are 1, 3, 9, 59, 177, and 531

#### 2. Steps to find factors of 531 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 531 using the division method, follow these steps:

• Step 1. Start dividing 531 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 531, which is 3. Divide 531 by 3 to obtain the quotient (177).
531 ÷ 3 = 177
• Step 3. Repeat step 1 with the obtained quotient (177).
177 ÷ 3 = 59
59 ÷ 59 = 1

So, the prime factorization of 531 is, 531 = 3 x 3 x 59.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 531 as shown below:

So, the prime factorization of 531 is, 531 = 3 x 3 x 59.

#### 3. Find factors of 531 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 531 would be the two numbers which, when multiplied, give 531 as the result.

The following table represents the calculation of factors of 531 in pairs:

Factor Pair Pair Factorization
1 and 531 1 x 531 = 531
3 and 177 3 x 177 = 531
9 and 59 9 x 59 = 531

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 531. They are called negative pair factors.

Hence, the negative pairs of 531 would be ( -1 , -531 ) , ( -3 , -177 ) and ( -9 , -59 ) .

#### 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 531 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, 3, 9, 59, 177, 531 are exact divisors of 531.
• Factors of 531 are 1, 3, 9, 59, 177, 531. Each factor divides 531 without leaving a remainder.

#### Frequently Asked Questions

• Which is the smallest prime factor of 531?

Smallest prime factor of 531 is 3.

• Is 531 a perfect square?

No 531 is not a perfect square.

• What are five multiples of 531?

First five multiples of 531 are 1062, 1593, 2124, 2655, 3186.

• What is prime factorization of 531?

Prime factorization of 531 is 3 x 3 x 59.

• What are factors of 531?

Factors of 531 are 1, 3, 9, 59, 177, 531.

• How do you find factors of a negative number? ( eg. -531 )?

Factors of -531 are -1, -3, -9, -59, -177, -531.

• Is 531 a whole number?

Yes 531 is a whole number.

• Which is greatest factor of 531?

The greatest factor of 531 is 177.

• What are the prime factors of 531?

The factors of 531 are 1, 3, 9, 59, 177, 531.
Prime factors of 531 are 3, 3, 59.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 531. Can you help her?

Prime factors of 531 are 3, 3, 59.
Hence, the product of prime factors of 177.

Can you help Rubel to find out the product of the even factors of 531?

Factors of 531 are 1, 3, 9, 59, 177, 531.
Even factors of 531 are 0.
Hence, product of even factors of 531 is; 0 = 0.

Joy wants to calculate mean of all the factors of 531. Help him in finding the mean of 531.

Factors of 531 are 1, 3, 9, 59, 177, 531.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 531 is 1 + 3 + 9 + 59 + 177 + 531 = 780.
Hence, the mean of factors of 531 is 780 ÷ 6 = 130.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 531? Help her in writing all the factors.

Positive factors are 1, 3, 9, 59, 177, 531.
Negative factors are -1, -3, -9, -59, -177, -531.

How many factors are there for 531?

Factors of 531 are 1, 3, 9, 59, 177, 531.
So there are in total 6 factors.

Joey wants to write all the prime factors of 531 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 531 are 3, 3, 59.
So in exponential form it can be written as 32 x 59.

Kevin has been asked to write 5 factor(s) of 531. Can you predict the answer?

5 factor(s) of 531 are 1, 3, 9, 59, 177.

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