# Factors of 546

Factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, and 546

#### How to find factors of a number

 1.   Find factors of 546 using Division Method 2.   Find factors of 546 using Prime Factorization 3.   Find factors of 546 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 546

• Divide 546 by 1: 546 ÷ 1 : Remainder = 0
• Divide 546 by 2: 546 ÷ 2 : Remainder = 0
• Divide 546 by 3: 546 ÷ 3 : Remainder = 0
• Divide 546 by 6: 546 ÷ 6 : Remainder = 0
• Divide 546 by 7: 546 ÷ 7 : Remainder = 0
• Divide 546 by 13: 546 ÷ 13 : Remainder = 0
• Divide 546 by 14: 546 ÷ 14 : Remainder = 0
• Divide 546 by 21: 546 ÷ 21 : Remainder = 0
• Divide 546 by 26: 546 ÷ 26 : Remainder = 0
• Divide 546 by 39: 546 ÷ 39 : Remainder = 0
• Divide 546 by 42: 546 ÷ 42 : Remainder = 0
• Divide 546 by 78: 546 ÷ 78 : Remainder = 0
• Divide 546 by 91: 546 ÷ 91 : Remainder = 0
• Divide 546 by 182: 546 ÷ 182 : Remainder = 0
• Divide 546 by 273: 546 ÷ 273 : Remainder = 0
• Divide 546 by 546: 546 ÷ 546 : Remainder = 0

Hence, Factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, and 546

#### 2. Steps to find factors of 546 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 546 using the division method, follow these steps:

• Step 1. Start dividing 546 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 546, which is 2. Divide 546 by 2 to obtain the quotient (273).
546 ÷ 2 = 273
• Step 3. Repeat step 1 with the obtained quotient (273).
273 ÷ 3 = 91
91 ÷ 7 = 13
13 ÷ 13 = 1

So, the prime factorization of 546 is, 546 = 2 x 3 x 7 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 546 as shown below:

So, the prime factorization of 546 is, 546 = 2 x 3 x 7 x 13.

#### 3. Find factors of 546 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 546 would be the two numbers which, when multiplied, give 546 as the result.

The following table represents the calculation of factors of 546 in pairs:

Factor Pair Pair Factorization
1 and 546 1 x 546 = 546
2 and 273 2 x 273 = 546
3 and 182 3 x 182 = 546
6 and 91 6 x 91 = 546
7 and 78 7 x 78 = 546
13 and 42 13 x 42 = 546
14 and 39 14 x 39 = 546
21 and 26 21 x 26 = 546

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 546. They are called negative pair factors.

Hence, the negative pairs of 546 would be ( -1 , -546 ) , ( -2 , -273 ) , ( -3 , -182 ) , ( -6 , -91 ) , ( -7 , -78 ) , ( -13 , -42 ) , ( -14 , -39 ) and ( -21 , -26 ) .

#### 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

• Each number is a factor of itself. Eg. 546 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, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546 are exact divisors of 546.
• 1 is a factor of every number. Eg. 1 is a factor of 546.
• Every number is a factor of zero (0), since 546 x 0 = 0.

• How do you find factors of a negative number? ( eg. -546 )?

Factors of -546 are -1, -2, -3, -6, -7, -13, -14, -21, -26, -39, -42, -78, -91, -182, -273, -546.

• What is the sum of all factors of 546?

The sum of all factors of 546 is 1344.

• What is prime factorization of 546?

Prime factorization of 546 is 2 x 3 x 7 x 13.

• What are the pair factors of 546?

Pair factors of 546 are (1,546), (2,273), (3,182), (6,91), (7,78), (13,42), (14,39), (21,26).

• What are six multiples of 546?

First five multiples of 546 are 1092, 1638, 2184, 2730, 3276, 3822.

• Is 546 a whole number?

Yes 546 is a whole number.

• Which is the smallest prime factor of 546?

Smallest prime factor of 546 is 2.

• What are five multiples of 546?

First five multiples of 546 are 1092, 1638, 2184, 2730, 3276.

• Write all factors of 546?

Factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546.

#### Examples of Factors

Joey wants to write all the prime factors of 546 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 546 are 2, 3, 7, 13.
So in exponential form it can be written as 2 x 3 x 7 x 13.

How many factors are there for 546?

Factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546.
So there are in total 16 factors.

Kevin has been asked to write 15 factor(s) of 546. Can you predict the answer?

15 factor(s) of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273.

Sammy is puzzled while calculating the prime factors of 546. Can you help him find them?

Factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546.
Prime factors of 546 are 2, 3, 7, 13

What is prime factorization of 546?

Prime factorization of 546 is 2 x 3 x 7 x 13 = 2 x 3 x 7 x 13.

Ariel has been assigned the task to find the product of all the prime factors of 546. Can you help her?

Prime factors of 546 are 2, 3, 7, 13.
Hence, the product of prime factors of 546.

Can you help Rubel to find out the product of the even factors of 546?

Factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546.
Even factors of 546 are 2, 6, 14, 26, 42, 78, 182, 546.
Hence, product of even factors of 546 is; 2 x 6 x 14 x 26 x 42 x 78 x 182 x 546 = 1421970391296.