# Factors of 247

Factors of 247 are 1, 13, 19, and 247

#### How to find factors of a number

 1.   Find factors of 247 using Division Method 2.   Find factors of 247 using Prime Factorization 3.   Find factors of 247 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 247

• Divide 247 by 1: 247 ÷ 1 : Remainder = 0
• Divide 247 by 13: 247 ÷ 13 : Remainder = 0
• Divide 247 by 19: 247 ÷ 19 : Remainder = 0
• Divide 247 by 247: 247 ÷ 247 : Remainder = 0

Hence, Factors of 247 are 1, 13, 19, and 247

#### 2. Steps to find factors of 247 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 247 using the division method, follow these steps:

• Step 1. Start dividing 247 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 247, which is 13. Divide 247 by 13 to obtain the quotient (19).
247 ÷ 13 = 19
• Step 3. Repeat step 1 with the obtained quotient (19).
19 ÷ 19 = 1

So, the prime factorization of 247 is, 247 = 13 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 247 as shown below:

So, the prime factorization of 247 is, 247 = 13 x 19.

#### 3. Find factors of 247 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 247 would be the two numbers which, when multiplied, give 247 as the result.

The following table represents the calculation of factors of 247 in pairs:

Factor Pair Pair Factorization
1 and 247 1 x 247 = 247
13 and 19 13 x 19 = 247

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 247. They are called negative pair factors.

Hence, the negative pairs of 247 would be ( -1 , -247 ) , ( -13 , -19 ) .

#### 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

• Every number is a factor of zero (0), since 247 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, 13, 19, 247 are exact divisors of 247.
• Factors of 247 are 1, 13, 19, 247. Each factor divides 247 without leaving a remainder.

• Is 247 a perfect square?

No 247 is not a perfect square.

• What are factors of 247?

Factors of 247 are 1, 13, 19, 247.

• Which is greatest factor of 247?

The greatest factor of 247 is 19.

• What is the sum of all factors of 247?

The sum of all factors of 247 is 280.

• What are multiples of 247?

First five multiples of 247 are 494, 741, 988, 1235.

• What is the greatest prime factors of 247?

The greatest prime factor of 247 is 19.

• What are six multiples of 247?

First five multiples of 247 are 494, 741, 988, 1235, 1482, 1729.

• What is prime factorization of 247?

Prime factorization of 247 is 13 x 19.

• Is 247 a whole number?

Yes 247 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 247? Help her in writing all the factors.

Positive factors are 1, 13, 19, 247.
Negative factors are -1, -13, -19, -247.

Can you help Sammy find out the product of the odd factors of 247?

Factors of 247 are 1, 13, 19, 247.
Odd factors of 247 are 1, 13, 19, 247.
Hence product of odd factors of 247 is; 1 x 13 x 19 x 247 = 61009.

Joey wants to write all the prime factors of 247 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 247 are 13, 19.
So in exponential form it can be written as 13 x 19.

How many factors are there for 247?

Factors of 247 are 1, 13, 19, 247.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 247. Can you predict the answer?

3 factor(s) of 247 are 1, 13, 19.

Sammy is puzzled while calculating the prime factors of 247. Can you help him find them?

Factors of 247 are 1, 13, 19, 247.
Prime factors of 247 are 13, 19

What is prime factorization of 247?

Prime factorization of 247 is 13 x 19 = 13 x 19.