# Factors of 534

Factors of 534 are 1, 2, 3, 6, 89, 178, 267, and 534

#### How to find factors of a number

 1.   Find factors of 534 using Division Method 2.   Find factors of 534 using Prime Factorization 3.   Find factors of 534 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 534

• Divide 534 by 1: 534 ÷ 1 : Remainder = 0
• Divide 534 by 2: 534 ÷ 2 : Remainder = 0
• Divide 534 by 3: 534 ÷ 3 : Remainder = 0
• Divide 534 by 6: 534 ÷ 6 : Remainder = 0
• Divide 534 by 89: 534 ÷ 89 : Remainder = 0
• Divide 534 by 178: 534 ÷ 178 : Remainder = 0
• Divide 534 by 267: 534 ÷ 267 : Remainder = 0
• Divide 534 by 534: 534 ÷ 534 : Remainder = 0

Hence, Factors of 534 are 1, 2, 3, 6, 89, 178, 267, and 534

#### 2. Steps to find factors of 534 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 534 using the division method, follow these steps:

• Step 1. Start dividing 534 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 534, which is 2. Divide 534 by 2 to obtain the quotient (267).
534 ÷ 2 = 267
• Step 3. Repeat step 1 with the obtained quotient (267).
267 ÷ 3 = 89
89 ÷ 89 = 1

So, the prime factorization of 534 is, 534 = 2 x 3 x 89.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 534 as shown below:

So, the prime factorization of 534 is, 534 = 2 x 3 x 89.

#### 3. Find factors of 534 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 534 would be the two numbers which, when multiplied, give 534 as the result.

The following table represents the calculation of factors of 534 in pairs:

Factor Pair Pair Factorization
1 and 534 1 x 534 = 534
2 and 267 2 x 267 = 534
3 and 178 3 x 178 = 534
6 and 89 6 x 89 = 534

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 534. They are called negative pair factors.

Hence, the negative pairs of 534 would be ( -1 , -534 ) , ( -2 , -267 ) , ( -3 , -178 ) and ( -6 , -89 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 534 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, 3, 6, 89, 178, 267, 534 are exact divisors of 534.
• 1 is a factor of every number. Eg. 1 is a factor of 534.
• Every number is a factor of zero (0), since 534 x 0 = 0.

• What are the prime factors of 534?

The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534.
Prime factors of 534 are 2, 3, 89.

• What two numbers make 534?

Two numbers that make 534 are 2 and 267.

• What is the greatest prime factors of 534?

The greatest prime factor of 534 is 89.

• What are factors of 534?

Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534.

• How do you find factors of a negative number? ( eg. -534 )?

Factors of -534 are -1, -2, -3, -6, -89, -178, -267, -534.

• What are five multiples of 534?

First five multiples of 534 are 1068, 1602, 2136, 2670, 3204.

• Write some multiples of 534?

First five multiples of 534 are 1068, 1602, 2136, 2670.

• Is 534 a perfect square?

No 534 is not a perfect square.

• What two numbers make 534?

Two numbers that make 534 are 2 and 267.

#### Examples of Factors

What is prime factorization of 534?

Prime factorization of 534 is 2 x 3 x 89 = 2 x 3 x 89.

Sammy is puzzled while calculating the prime factors of 534. Can you help him find them?

Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534.
Prime factors of 534 are 2, 3, 89

Kevin has been asked to write 7 factor(s) of 534. Can you predict the answer?

7 factor(s) of 534 are 1, 2, 3, 6, 89, 178, 267.

Joey wants to write all the prime factors of 534 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 534 are 2, 3, 89.
So in exponential form it can be written as 2 x 3 x 89.

How many factors are there for 534?

Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 534? Help her in writing all the factors.

Positive factors are 1, 2, 3, 6, 89, 178, 267, 534.
Negative factors are -1, -2, -3, -6, -89, -178, -267, -534.

Can you help Rubel to find out the product of the even factors of 534?

Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534.
Even factors of 534 are 2, 6, 178, 534.
Hence, product of even factors of 534 is; 2 x 6 x 178 x 534 = 1140624.