# Factors of 544

Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, and 544

#### How to find factors of a number

 1.   Find factors of 544 using Division Method 2.   Find factors of 544 using Prime Factorization 3.   Find factors of 544 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 544

• Divide 544 by 1: 544 ÷ 1 : Remainder = 0
• Divide 544 by 2: 544 ÷ 2 : Remainder = 0
• Divide 544 by 4: 544 ÷ 4 : Remainder = 0
• Divide 544 by 8: 544 ÷ 8 : Remainder = 0
• Divide 544 by 16: 544 ÷ 16 : Remainder = 0
• Divide 544 by 17: 544 ÷ 17 : Remainder = 0
• Divide 544 by 32: 544 ÷ 32 : Remainder = 0
• Divide 544 by 34: 544 ÷ 34 : Remainder = 0
• Divide 544 by 68: 544 ÷ 68 : Remainder = 0
• Divide 544 by 136: 544 ÷ 136 : Remainder = 0
• Divide 544 by 272: 544 ÷ 272 : Remainder = 0
• Divide 544 by 544: 544 ÷ 544 : Remainder = 0

Hence, Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, and 544

#### 2. Steps to find factors of 544 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 544 using the division method, follow these steps:

• Step 1. Start dividing 544 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 544, which is 2. Divide 544 by 2 to obtain the quotient (272).
544 ÷ 2 = 272
• Step 3. Repeat step 1 with the obtained quotient (272).
272 ÷ 2 = 136
136 ÷ 2 = 68
68 ÷ 2 = 34
34 ÷ 2 = 17
17 ÷ 17 = 1

So, the prime factorization of 544 is, 544 = 2 x 2 x 2 x 2 x 2 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 544 as shown below:

So, the prime factorization of 544 is, 544 = 2 x 2 x 2 x 2 x 2 x 17.

#### 3. Find factors of 544 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 544 would be the two numbers which, when multiplied, give 544 as the result.

The following table represents the calculation of factors of 544 in pairs:

Factor Pair Pair Factorization
1 and 544 1 x 544 = 544
2 and 272 2 x 272 = 544
4 and 136 4 x 136 = 544
8 and 68 8 x 68 = 544
16 and 34 16 x 34 = 544
17 and 32 17 x 32 = 544

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 544. They are called negative pair factors.

Hence, the negative pairs of 544 would be ( -1 , -544 ) , ( -2 , -272 ) , ( -4 , -136 ) , ( -8 , -68 ) , ( -16 , -34 ) and ( -17 , -32 ) .

#### 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. 544 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 544.
• Every number is a factor of zero (0), since 544 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, 8, 16, 17, 32, 34, 68, 136, 272, 544 are exact divisors of 544.
• Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544. Each factor divides 544 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544 are all less than or equal to 544.

• Is 544 a perfect square?

No 544 is not a perfect square.

• What are factors of 544?

Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544.

• Which is greatest factor of 544?

The greatest factor of 544 is 272.

• What is the sum of all factors of 544?

The sum of all factors of 544 is 1134.

• What are multiples of 544?

First five multiples of 544 are 1088, 1632, 2176, 2720.

• What is the greatest prime factors of 544?

The greatest prime factor of 544 is 17.

• What are six multiples of 544?

First five multiples of 544 are 1088, 1632, 2176, 2720, 3264, 3808.

• What is prime factorization of 544?

Prime factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17.

• Is 544 a whole number?

Yes 544 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 544? Help her in writing all the factors.

Positive factors are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544.
Negative factors are -1, -2, -4, -8, -16, -17, -32, -34, -68, -136, -272, -544.

Can you help Sammy find out the product of the odd factors of 544?

Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544.
Odd factors of 544 are 1, 17.
Hence product of odd factors of 544 is; 1 x 17 = 17.

Joey wants to write all the prime factors of 544 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 544 are 2, 2, 2, 2, 2, 17.
So in exponential form it can be written as 25 x 17.

How many factors are there for 544?

Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 544. Can you predict the answer?

11 factor(s) of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272.

Sammy is puzzled while calculating the prime factors of 544. Can you help him find them?

Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544.
Prime factors of 544 are 2, 2, 2, 2, 2, 17

What is prime factorization of 544?

Prime factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17 = 25 x 17.