# Factors of 1229

Factors of 1229 are 1 and 1229

#### How to find factors of a number

 1.   Find factors of 1229 using Division Method 2.   Find factors of 1229 using Prime Factorization 3.   Find factors of 1229 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1229

• Divide 1229 by 1: 1229 ÷ 1 : Remainder = 0
• Divide 1229 by 1229: 1229 ÷ 1229 : Remainder = 0

Hence, Factors of 1229 are 1 and 1229

#### 2. Steps to find factors of 1229 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 1229 using the division method, follow these steps:

• Step 1. Start dividing 1229 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 1229, which is 1229. Divide 1229 by 1229 to obtain the quotient (1).
1229 ÷ 1229 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1229 is, 1229 = 1229.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1229 as shown below:

So, the prime factorization of 1229 is, 1229 = 1229.

#### 3. Find factors of 1229 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 1229 would be the two numbers which, when multiplied, give 1229 as the result.

The following table represents the calculation of factors of 1229 in pairs:

Factor Pair Pair Factorization
1 and 1229 1 x 1229 = 1229

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 1229. They are called negative pair factors.

Hence, the negative pairs of 1229 would be ( -1 , -1229 ) , .

#### 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

• Every factor of a number is an exact divisor of that number, example 1, 1229 are exact divisors of 1229.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1229 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1229.

• What are the pair factors of 1229?

Pair factors of 1229 are (1,1229).

• What are five multiples of 1229?

First five multiples of 1229 are 2458, 3687, 4916, 6145, 7374.

• What two numbers make 1229?

Two numbers that make 1229 are 1229 and 1.

• What is the sum of all factors of 1229?

The sum of all factors of 1229 is 1230.

• What are factors of -1229?

Factors of -1229 are -1, -1229.

• What are factors of 1229?

Factors of 1229 are 1, 1229.

• Is 1229 a perfect square?

No 1229 is not a perfect square.

• Which is the smallest prime factor of 1229?

Smallest prime factor of 1229 is 1229.

• Which is greatest factor of 1229?

The greatest factor of 1229 is 1.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 1229?

Factors of 1229 are 1, 1229.
Odd factors of 1229 are 1, 1229.
Hence product of odd factors of 1229 is; 1 x 1229 = 1229.

Joey wants to write all the prime factors of 1229 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1229 are 1229.
So in exponential form it can be written as 1229.

How many factors are there for 1229?

Factors of 1229 are 1, 1229.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 1229. Can you predict the answer?

1 factor(s) of 1229 is 1.

Sammy is puzzled while calculating the prime factors of 1229. Can you help him find them?

Factors of 1229 are 1, 1229.
Prime factors of 1229 are 1229

What is prime factorization of 1229?

Prime factorization of 1229 is 1229 = 1229.

Can you help Rubel to find out the product of the even factors of 1229?

Factors of 1229 are 1, 1229.
Even factors of 1229 are 0.
Hence, product of even factors of 1229 is; 0 = 0.