Factors of 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:

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.

Frequently Asked Questions

• 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