1. Steps to find factors of 269 using Division Method

Example: Find factors of 269

  • Divide 269 by 1: 269 ÷ 1 : Remainder = 0
  • Divide 269 by 269: 269 ÷ 269 : Remainder = 0

Hence, Factors of 269 are 1 and 269

2. Steps to find factors of 269 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 269 using the division method, follow these steps:

  • Step 1. Start dividing 269 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 269, which is 269. Divide 269 by 269 to obtain the quotient (1).
    269 ÷ 269 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 269 is, 269 = 269.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 269 as shown below:

So, the prime factorization of 269 is, 269 = 269.

3. Find factors of 269 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 269 would be the two numbers which, when multiplied, give 269 as the result.

The following table represents the calculation of factors of 269 in pairs:

Factor Pair Pair Factorization
1 and 269 1 x 269 = 269

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 269. They are called negative pair factors.

Hence, the negative pairs of 269 would be ( -1 , -269 ) , .

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, 269 are exact divisors of 269.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 269 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 269.

Frequently Asked Questions

  • What is prime factorization of 269?

    Prime factorization of 269 is 269.

  • How do you find factors of a negative number? ( eg. -269 )?

    Factors of -269 are -1, -269.

  • What are the prime factors of 269?

    The factors of 269 are 1, 269.
    Prime factors of 269 are 269.

  • What are pair factors of 269?

    The pair factors of 269 are (1,269).

  • What is the greatest prime factors of 269?

    The greatest prime factor of 269 is 269.

  • What are six multiples of 269?

    First five multiples of 269 are 538, 807, 1076, 1345, 1614, 1883.

  • What are factors of 269?

    Factors of 269 are 1, 269.

  • Which is the smallest prime factor of 269?

    Smallest prime factor of 269 is 269.

  • Is 269 a whole number?

    Yes 269 is a whole number.

Examples of Factors

Kevin has been asked to write 1 factor(s) of 269. Can you predict the answer?

1 factor(s) of 269 is 1.

Sammy is puzzled while calculating the prime factors of 269. Can you help him find them?

Factors of 269 are 1, 269.
Prime factors of 269 are 269

What is prime factorization of 269?

Prime factorization of 269 is 269 = 269.

Ariel has been assigned the task to find the product of all the prime factors of 269. Can you help her?

Prime factors of 269 are 269.
Hence, the product of prime factors of 269.

Can you help Rubel to find out the product of the even factors of 269?

Factors of 269 are 1, 269.
Even factors of 269 are 0.
Hence, product of even factors of 269 is; 0 = 0.

Joy wants to calculate mean of all the factors of 269. Help him in finding the mean of 269.

Factors of 269 are 1, 269.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 269 is 1 + 269 = 270.
Hence, the mean of factors of 269 is 270 ÷ 2 = 135.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 269? Help her in writing all the factors.

Positive factors are 1, 269.
Negative factors are -1, -269.