# Factors of 1212

Factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, and 1212

#### How to find factors of a number

 1.   Find factors of 1212 using Division Method 2.   Find factors of 1212 using Prime Factorization 3.   Find factors of 1212 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1212

• Divide 1212 by 1: 1212 ÷ 1 : Remainder = 0
• Divide 1212 by 2: 1212 ÷ 2 : Remainder = 0
• Divide 1212 by 3: 1212 ÷ 3 : Remainder = 0
• Divide 1212 by 4: 1212 ÷ 4 : Remainder = 0
• Divide 1212 by 6: 1212 ÷ 6 : Remainder = 0
• Divide 1212 by 12: 1212 ÷ 12 : Remainder = 0
• Divide 1212 by 101: 1212 ÷ 101 : Remainder = 0
• Divide 1212 by 202: 1212 ÷ 202 : Remainder = 0
• Divide 1212 by 303: 1212 ÷ 303 : Remainder = 0
• Divide 1212 by 404: 1212 ÷ 404 : Remainder = 0
• Divide 1212 by 606: 1212 ÷ 606 : Remainder = 0
• Divide 1212 by 1212: 1212 ÷ 1212 : Remainder = 0

Hence, Factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, and 1212

#### 2. Steps to find factors of 1212 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 1212 using the division method, follow these steps:

• Step 1. Start dividing 1212 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 1212, which is 2. Divide 1212 by 2 to obtain the quotient (606).
1212 ÷ 2 = 606
• Step 3. Repeat step 1 with the obtained quotient (606).
606 ÷ 2 = 303
303 ÷ 3 = 101
101 ÷ 101 = 1

So, the prime factorization of 1212 is, 1212 = 2 x 2 x 3 x 101.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1212 as shown below:

So, the prime factorization of 1212 is, 1212 = 2 x 2 x 3 x 101.

#### 3. Find factors of 1212 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 1212 would be the two numbers which, when multiplied, give 1212 as the result.

The following table represents the calculation of factors of 1212 in pairs:

Factor Pair Pair Factorization
1 and 1212 1 x 1212 = 1212
2 and 606 2 x 606 = 1212
3 and 404 3 x 404 = 1212
4 and 303 4 x 303 = 1212
6 and 202 6 x 202 = 1212
12 and 101 12 x 101 = 1212

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 1212. They are called negative pair factors.

Hence, the negative pairs of 1212 would be ( -1 , -1212 ) , ( -2 , -606 ) , ( -3 , -404 ) , ( -4 , -303 ) , ( -6 , -202 ) and ( -12 , -101 ) .

#### 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

• Each number is a factor of itself. Eg. 1212 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1212.
• Every number is a factor of zero (0), since 1212 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, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212 are exact divisors of 1212.
• Factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212. Each factor divides 1212 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212 are all less than or equal to 1212.

• How do you find factors of a negative number? ( eg. -1212 )?

Factors of -1212 are -1, -2, -3, -4, -6, -12, -101, -202, -303, -404, -606, -1212.

• What is the sum of all factors of 1212?

The sum of all factors of 1212 is 2856.

• What is prime factorization of 1212?

Prime factorization of 1212 is 2 x 2 x 3 x 101.

• What are the pair factors of 1212?

Pair factors of 1212 are (1,1212), (2,606), (3,404), (4,303), (6,202), (12,101).

• What are six multiples of 1212?

First five multiples of 1212 are 2424, 3636, 4848, 6060, 7272, 8484.

• Is 1212 a whole number?

Yes 1212 is a whole number.

• Which is the smallest prime factor of 1212?

Smallest prime factor of 1212 is 2.

• What are five multiples of 1212?

First five multiples of 1212 are 2424, 3636, 4848, 6060, 7272.

• Write all factors of 1212?

Factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212.

#### Examples of Factors

Joey wants to write all the prime factors of 1212 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1212 are 2, 2, 3, 101.
So in exponential form it can be written as 22 x 3 x 101.

How many factors are there for 1212?

Factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 1212. Can you predict the answer?

11 factor(s) of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606.

Sammy is puzzled while calculating the prime factors of 1212. Can you help him find them?

Factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212.
Prime factors of 1212 are 2, 2, 3, 101

What is prime factorization of 1212?

Prime factorization of 1212 is 2 x 2 x 3 x 101 = 22 x 3 x 101.

Ariel has been assigned the task to find the product of all the prime factors of 1212. Can you help her?

Prime factors of 1212 are 2, 2, 3, 101.
Hence, the product of prime factors of 606.

Can you help Rubel to find out the product of the even factors of 1212?

Factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212.
Even factors of 1212 are 2, 4, 6, 12, 202, 404, 606, 1212.
Hence, product of even factors of 1212 is; 2 x 4 x 6 x 12 x 202 x 404 x 606 x 1212 = 34524743602176.