# Factors of 1220

Factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, and 1220

#### How to find factors of a number

 1.   Find factors of 1220 using Division Method 2.   Find factors of 1220 using Prime Factorization 3.   Find factors of 1220 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1220

• Divide 1220 by 1: 1220 ÷ 1 : Remainder = 0
• Divide 1220 by 2: 1220 ÷ 2 : Remainder = 0
• Divide 1220 by 4: 1220 ÷ 4 : Remainder = 0
• Divide 1220 by 5: 1220 ÷ 5 : Remainder = 0
• Divide 1220 by 10: 1220 ÷ 10 : Remainder = 0
• Divide 1220 by 20: 1220 ÷ 20 : Remainder = 0
• Divide 1220 by 61: 1220 ÷ 61 : Remainder = 0
• Divide 1220 by 122: 1220 ÷ 122 : Remainder = 0
• Divide 1220 by 244: 1220 ÷ 244 : Remainder = 0
• Divide 1220 by 305: 1220 ÷ 305 : Remainder = 0
• Divide 1220 by 610: 1220 ÷ 610 : Remainder = 0
• Divide 1220 by 1220: 1220 ÷ 1220 : Remainder = 0

Hence, Factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, and 1220

#### 2. Steps to find factors of 1220 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 1220 using the division method, follow these steps:

• Step 1. Start dividing 1220 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 1220, which is 2. Divide 1220 by 2 to obtain the quotient (610).
1220 ÷ 2 = 610
• Step 3. Repeat step 1 with the obtained quotient (610).
610 ÷ 2 = 305
305 ÷ 5 = 61
61 ÷ 61 = 1

So, the prime factorization of 1220 is, 1220 = 2 x 2 x 5 x 61.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1220 as shown below:

So, the prime factorization of 1220 is, 1220 = 2 x 2 x 5 x 61.

#### 3. Find factors of 1220 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 1220 would be the two numbers which, when multiplied, give 1220 as the result.

The following table represents the calculation of factors of 1220 in pairs:

Factor Pair Pair Factorization
1 and 1220 1 x 1220 = 1220
2 and 610 2 x 610 = 1220
4 and 305 4 x 305 = 1220
5 and 244 5 x 244 = 1220
10 and 122 10 x 122 = 1220
20 and 61 20 x 61 = 1220

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 1220. They are called negative pair factors.

Hence, the negative pairs of 1220 would be ( -1 , -1220 ) , ( -2 , -610 ) , ( -4 , -305 ) , ( -5 , -244 ) , ( -10 , -122 ) and ( -20 , -61 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 1220 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1220.
• Every number is a factor of zero (0), since 1220 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, 5, 10, 20, 61, 122, 244, 305, 610, 1220 are exact divisors of 1220.
• Factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220. Each factor divides 1220 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220 are all less than or equal to 1220.

• What are the pair factors of 1220?

Pair factors of 1220 are (1,1220), (2,610), (4,305), (5,244), (10,122), (20,61).

• What are five multiples of 1220?

First five multiples of 1220 are 2440, 3660, 4880, 6100, 7320.

• What two numbers make 1220?

Two numbers that make 1220 are 2 and 610.

• What is the sum of all factors of 1220?

The sum of all factors of 1220 is 2604.

• What are factors of -1220?

Factors of -1220 are -1, -2, -4, -5, -10, -20, -61, -122, -244, -305, -610, -1220.

• What are factors of 1220?

Factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220.

• Is 1220 a perfect square?

No 1220 is not a perfect square.

• Which is the smallest prime factor of 1220?

Smallest prime factor of 1220 is 2.

• Which is greatest factor of 1220?

The greatest factor of 1220 is 610.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 1220?

Factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220.
Odd factors of 1220 are 1, 5, 61, 305.
Hence product of odd factors of 1220 is; 1 x 5 x 61 x 305 = 93025.

Joey wants to write all the prime factors of 1220 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1220 are 2, 2, 5, 61.
So in exponential form it can be written as 22 x 5 x 61.

How many factors are there for 1220?

Factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 1220. Can you predict the answer?

11 factor(s) of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610.

Sammy is puzzled while calculating the prime factors of 1220. Can you help him find them?

Factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220.
Prime factors of 1220 are 2, 2, 5, 61

What is prime factorization of 1220?

Prime factorization of 1220 is 2 x 2 x 5 x 61 = 22 x 5 x 61.

Can you help Rubel to find out the product of the even factors of 1220?

Factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220.
Even factors of 1220 are 2, 4, 10, 20, 122, 244, 610, 1220.
Hence, product of even factors of 1220 is; 2 x 4 x 10 x 20 x 122 x 244 x 610 x 1220 = 35445352960000.