1. Steps to find factors of 1331 using Division Method

Example: Find factors of 1331

  • Divide 1331 by 1: 1331 ÷ 1 : Remainder = 0
  • Divide 1331 by 11: 1331 ÷ 11 : Remainder = 0
  • Divide 1331 by 121: 1331 ÷ 121 : Remainder = 0
  • Divide 1331 by 1331: 1331 ÷ 1331 : Remainder = 0

Hence, Factors of 1331 are 1, 11, 121, and 1331

2. Steps to find factors of 1331 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 1331 using the division method, follow these steps:

  • Step 1. Start dividing 1331 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 1331, which is 11. Divide 1331 by 11 to obtain the quotient (121).
    1331 ÷ 11 = 121
  • Step 3. Repeat step 1 with the obtained quotient (121).
    121 ÷ 11 = 11
    11 ÷ 11 = 1

So, the prime factorization of 1331 is, 1331 = 11 x 11 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1331 as shown below:

So, the prime factorization of 1331 is, 1331 = 11 x 11 x 11.

3. Find factors of 1331 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 1331 would be the two numbers which, when multiplied, give 1331 as the result.

The following table represents the calculation of factors of 1331 in pairs:

Factor Pair Pair Factorization
1 and 1331 1 x 1331 = 1331
11 and 121 11 x 121 = 1331

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 1331. They are called negative pair factors.

Hence, the negative pairs of 1331 would be ( -1 , -1331 ) , ( -11 , -121 ) .

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of factors

  • Every number is a factor of zero (0), since 1331 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, 11, 121, 1331 are exact divisors of 1331.
  • Factors of 1331 are 1, 11, 121, 1331. Each factor divides 1331 without leaving a remainder.

Frequently Asked Questions

  • What is prime factorization of 1331?

    Prime factorization of 1331 is 11 x 11 x 11.

  • How do you find factors of a negative number? ( eg. -1331 )?

    Factors of -1331 are -1, -11, -121, -1331.

  • What are the prime factors of 1331?

    The factors of 1331 are 1, 11, 121, 1331.
    Prime factors of 1331 are 11, 11, 11.

  • What are pair factors of 1331?

    The pair factors of 1331 are (1,1331), (11,121).

  • What is the greatest prime factors of 1331?

    The greatest prime factor of 1331 is 11.

  • What are six multiples of 1331?

    First five multiples of 1331 are 2662, 3993, 5324, 6655, 7986, 9317.

  • What are factors of 1331?

    Factors of 1331 are 1, 11, 121, 1331.

  • Which is the smallest prime factor of 1331?

    Smallest prime factor of 1331 is 11.

  • Is 1331 a whole number?

    Yes 1331 is a whole number.

Examples of Factors

Kevin has been asked to write 3 factor(s) of 1331. Can you predict the answer?

3 factor(s) of 1331 are 1, 11, 121.

Sammy is puzzled while calculating the prime factors of 1331. Can you help him find them?

Factors of 1331 are 1, 11, 121, 1331.
Prime factors of 1331 are 11, 11, 11

What is prime factorization of 1331?

Prime factorization of 1331 is 11 x 11 x 11 = 113.

Ariel has been assigned the task to find the product of all the prime factors of 1331. Can you help her?

Prime factors of 1331 are 11, 11, 11.
Hence, the product of prime factors of 11.

Can you help Rubel to find out the product of the even factors of 1331?

Factors of 1331 are 1, 11, 121, 1331.
Even factors of 1331 are 0.
Hence, product of even factors of 1331 is; 0 = 0.

Joy wants to calculate mean of all the factors of 1331. Help him in finding the mean of 1331.

Factors of 1331 are 1, 11, 121, 1331.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1331 is 1 + 11 + 121 + 1331 = 1464.
Hence, the mean of factors of 1331 is 1464 ÷ 4 = 366.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1331? Help her in writing all the factors.

Positive factors are 1, 11, 121, 1331.
Negative factors are -1, -11, -121, -1331.