1. Steps to find factors of 1156 using Division Method

Example: Find factors of 1156

  • Divide 1156 by 1: 1156 ÷ 1 : Remainder = 0
  • Divide 1156 by 2: 1156 ÷ 2 : Remainder = 0
  • Divide 1156 by 4: 1156 ÷ 4 : Remainder = 0
  • Divide 1156 by 17: 1156 ÷ 17 : Remainder = 0
  • Divide 1156 by 34: 1156 ÷ 34 : Remainder = 0
  • Divide 1156 by 68: 1156 ÷ 68 : Remainder = 0
  • Divide 1156 by 289: 1156 ÷ 289 : Remainder = 0
  • Divide 1156 by 578: 1156 ÷ 578 : Remainder = 0
  • Divide 1156 by 1156: 1156 ÷ 1156 : Remainder = 0

Hence, Factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, and 1156

2. Steps to find factors of 1156 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 1156 using the division method, follow these steps:

  • Step 1. Start dividing 1156 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 1156, which is 2. Divide 1156 by 2 to obtain the quotient (578).
    1156 ÷ 2 = 578
  • Step 3. Repeat step 1 with the obtained quotient (578).
    578 ÷ 2 = 289
    289 ÷ 17 = 17
    17 ÷ 17 = 1

So, the prime factorization of 1156 is, 1156 = 2 x 2 x 17 x 17.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1156 as shown below:

So, the prime factorization of 1156 is, 1156 = 2 x 2 x 17 x 17.

3. Find factors of 1156 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 1156 would be the two numbers which, when multiplied, give 1156 as the result.

The following table represents the calculation of factors of 1156 in pairs:

Factor Pair Pair Factorization
1 and 1156 1 x 1156 = 1156
2 and 578 2 x 578 = 1156
4 and 289 4 x 289 = 1156
17 and 68 17 x 68 = 1156
34 and 34 34 x 34 = 1156

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 1156. They are called negative pair factors.

Hence, the negative pairs of 1156 would be ( -1 , -1156 ) , ( -2 , -578 ) , ( -4 , -289 ) , ( -17 , -68 ) and ( -34 , -34 ) .

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

  • Each number is a factor of itself. Eg. 1156 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1156.
  • Every number is a factor of zero (0), since 1156 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, 17, 34, 68, 289, 578, 1156 are exact divisors of 1156.
  • Factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156. Each factor divides 1156 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 17, 34, 68, 289, 578, 1156 are all less than or equal to 1156.

Frequently Asked Questions

  • Is 1156 a perfect square?

    Yes 1156 is a perfect square.

  • What are factors of 1156?

    Factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156.

  • Which is greatest factor of 1156?

    The greatest factor of 1156 is 578.

  • What is the sum of all factors of 1156?

    The sum of all factors of 1156 is 2149.

  • What are multiples of 1156?

    First five multiples of 1156 are 2312, 3468, 4624, 5780.

  • What is the greatest prime factors of 1156?

    The greatest prime factor of 1156 is 17.

  • What are six multiples of 1156?

    First five multiples of 1156 are 2312, 3468, 4624, 5780, 6936, 8092.

  • What is prime factorization of 1156?

    Prime factorization of 1156 is 2 x 2 x 17 x 17.

  • Is 1156 a whole number?

    Yes 1156 is a whole number.

Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1156? Help her in writing all the factors.

Positive factors are 1, 2, 4, 17, 34, 68, 289, 578, 1156.
Negative factors are -1, -2, -4, -17, -34, -68, -289, -578, -1156.

Can you help Sammy find out the product of the odd factors of 1156?

Factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156.
Odd factors of 1156 are 1, 17, 289.
Hence product of odd factors of 1156 is; 1 x 17 x 289 = 4913.

Joey wants to write all the prime factors of 1156 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1156 are 2, 2, 17, 17.
So in exponential form it can be written as 22 x 172.

How many factors are there for 1156?

Factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156.
So there are in total 9 factors.

Kevin has been asked to write 8 factor(s) of 1156. Can you predict the answer?

8 factor(s) of 1156 are 1, 2, 4, 17, 34, 68, 289, 578.

Sammy is puzzled while calculating the prime factors of 1156. Can you help him find them?

Factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156.
Prime factors of 1156 are 2, 2, 17, 17

What is prime factorization of 1156?

Prime factorization of 1156 is 2 x 2 x 17 x 17 = 22 x 172.