# Factors of 246

Factors of 246 are 1, 2, 3, 6, 41, 82, 123, and 246

#### How to find factors of a number

 1.   Find factors of 246 using Division Method 2.   Find factors of 246 using Prime Factorization 3.   Find factors of 246 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 246

• Divide 246 by 1: 246 ÷ 1 : Remainder = 0
• Divide 246 by 2: 246 ÷ 2 : Remainder = 0
• Divide 246 by 3: 246 ÷ 3 : Remainder = 0
• Divide 246 by 6: 246 ÷ 6 : Remainder = 0
• Divide 246 by 41: 246 ÷ 41 : Remainder = 0
• Divide 246 by 82: 246 ÷ 82 : Remainder = 0
• Divide 246 by 123: 246 ÷ 123 : Remainder = 0
• Divide 246 by 246: 246 ÷ 246 : Remainder = 0

Hence, Factors of 246 are 1, 2, 3, 6, 41, 82, 123, and 246

#### 2. Steps to find factors of 246 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 246 using the division method, follow these steps:

• Step 1. Start dividing 246 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 246, which is 2. Divide 246 by 2 to obtain the quotient (123).
246 ÷ 2 = 123
• Step 3. Repeat step 1 with the obtained quotient (123).
123 ÷ 3 = 41
41 ÷ 41 = 1

So, the prime factorization of 246 is, 246 = 2 x 3 x 41.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 246 as shown below:

So, the prime factorization of 246 is, 246 = 2 x 3 x 41.

#### 3. Find factors of 246 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 246 would be the two numbers which, when multiplied, give 246 as the result.

The following table represents the calculation of factors of 246 in pairs:

Factor Pair Pair Factorization
1 and 246 1 x 246 = 246
2 and 123 2 x 123 = 246
3 and 82 3 x 82 = 246
6 and 41 6 x 41 = 246

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 246. They are called negative pair factors.

Hence, the negative pairs of 246 would be ( -1 , -246 ) , ( -2 , -123 ) , ( -3 , -82 ) and ( -6 , -41 ) .

#### 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. 246 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, 41, 82, 123, 246 are exact divisors of 246.
• 1 is a factor of every number. Eg. 1 is a factor of 246.
• Every number is a factor of zero (0), since 246 x 0 = 0.

• What are the prime factors of 246?

The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246.
Prime factors of 246 are 2, 3, 41.

• What two numbers make 246?

Two numbers that make 246 are 2 and 123.

• What is the greatest prime factors of 246?

The greatest prime factor of 246 is 41.

• What are factors of 246?

Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246.

• How do you find factors of a negative number? ( eg. -246 )?

Factors of -246 are -1, -2, -3, -6, -41, -82, -123, -246.

• What are five multiples of 246?

First five multiples of 246 are 492, 738, 984, 1230, 1476.

• Write some multiples of 246?

First five multiples of 246 are 492, 738, 984, 1230.

• Is 246 a perfect square?

No 246 is not a perfect square.

• What two numbers make 246?

Two numbers that make 246 are 2 and 123.

#### Examples of Factors

What is prime factorization of 246?

Prime factorization of 246 is 2 x 3 x 41 = 2 x 3 x 41.

Sammy is puzzled while calculating the prime factors of 246. Can you help him find them?

Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246.
Prime factors of 246 are 2, 3, 41

Kevin has been asked to write 7 factor(s) of 246. Can you predict the answer?

7 factor(s) of 246 are 1, 2, 3, 6, 41, 82, 123.

Joey wants to write all the prime factors of 246 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 246 are 2, 3, 41.
So in exponential form it can be written as 2 x 3 x 41.

How many factors are there for 246?

Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 246? Help her in writing all the factors.

Positive factors are 1, 2, 3, 6, 41, 82, 123, 246.
Negative factors are -1, -2, -3, -6, -41, -82, -123, -246.

Can you help Rubel to find out the product of the even factors of 246?

Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246.
Even factors of 246 are 2, 6, 82, 246.
Hence, product of even factors of 246 is; 2 x 6 x 82 x 246 = 242064.