1. Steps to find factors of 1144 using Division Method

Example: Find factors of 1144

  • Divide 1144 by 1: 1144 ÷ 1 : Remainder = 0
  • Divide 1144 by 2: 1144 ÷ 2 : Remainder = 0
  • Divide 1144 by 4: 1144 ÷ 4 : Remainder = 0
  • Divide 1144 by 8: 1144 ÷ 8 : Remainder = 0
  • Divide 1144 by 11: 1144 ÷ 11 : Remainder = 0
  • Divide 1144 by 13: 1144 ÷ 13 : Remainder = 0
  • Divide 1144 by 22: 1144 ÷ 22 : Remainder = 0
  • Divide 1144 by 26: 1144 ÷ 26 : Remainder = 0
  • Divide 1144 by 44: 1144 ÷ 44 : Remainder = 0
  • Divide 1144 by 52: 1144 ÷ 52 : Remainder = 0
  • Divide 1144 by 88: 1144 ÷ 88 : Remainder = 0
  • Divide 1144 by 104: 1144 ÷ 104 : Remainder = 0
  • Divide 1144 by 143: 1144 ÷ 143 : Remainder = 0
  • Divide 1144 by 286: 1144 ÷ 286 : Remainder = 0
  • Divide 1144 by 572: 1144 ÷ 572 : Remainder = 0
  • Divide 1144 by 1144: 1144 ÷ 1144 : Remainder = 0

Hence, Factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, and 1144

2. Steps to find factors of 1144 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 1144 using the division method, follow these steps:

  • Step 1. Start dividing 1144 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 1144, which is 2. Divide 1144 by 2 to obtain the quotient (572).
    1144 ÷ 2 = 572
  • Step 3. Repeat step 1 with the obtained quotient (572).
    572 ÷ 2 = 286
    286 ÷ 2 = 143
    143 ÷ 11 = 13
    13 ÷ 13 = 1

So, the prime factorization of 1144 is, 1144 = 2 x 2 x 2 x 11 x 13.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1144 as shown below:

So, the prime factorization of 1144 is, 1144 = 2 x 2 x 2 x 11 x 13.

3. Find factors of 1144 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 1144 would be the two numbers which, when multiplied, give 1144 as the result.

The following table represents the calculation of factors of 1144 in pairs:

Factor Pair Pair Factorization
1 and 1144 1 x 1144 = 1144
2 and 572 2 x 572 = 1144
4 and 286 4 x 286 = 1144
8 and 143 8 x 143 = 1144
11 and 104 11 x 104 = 1144
13 and 88 13 x 88 = 1144
22 and 52 22 x 52 = 1144
26 and 44 26 x 44 = 1144

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 1144. They are called negative pair factors.

Hence, the negative pairs of 1144 would be ( -1 , -1144 ) , ( -2 , -572 ) , ( -4 , -286 ) , ( -8 , -143 ) , ( -11 , -104 ) , ( -13 , -88 ) , ( -22 , -52 ) and ( -26 , -44 ) .

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

  • Each number is a factor of itself. Eg. 1144 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1144.
  • Every number is a factor of zero (0), since 1144 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, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144 are exact divisors of 1144.
  • Factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144. Each factor divides 1144 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144 are all less than or equal to 1144.

Frequently Asked Questions

  • What are the prime factors of 1144?

    The factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144.
    Prime factors of 1144 are 2, 2, 2, 11, 13.

  • What is the sum of all factors of 1144?

    The sum of all factors of 1144 is 2520.

  • What are the pair factors of 1144?

    Pair factors of 1144 are (1,1144), (2,572), (4,286), (8,143), (11,104), (13,88), (22,52), (26,44).

  • What two numbers make 1144?

    Two numbers that make 1144 are 2 and 572.

  • What are multiples of 1144?

    First five multiples of 1144 are 2288, 3432, 4576, 5720.

  • Is 1144 a perfect square?

    No 1144 is not a perfect square.

  • Which is greatest factor of 1144?

    The greatest factor of 1144 is 572.

  • How do you factors of 1144?

    Factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144.

  • What are five multiples of 1144?

    First five multiples of 1144 are 2288, 3432, 4576, 5720, 6864.

Examples of Factors

Can you help Rubel to find out the product of the even factors of 1144?

Factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144.
Even factors of 1144 are 2, 4, 8, 22, 26, 44, 52, 88, 104, 286, 572, 1144.
Hence, product of even factors of 1144 is; 2 x 4 x 8 x 22 x 26 x 44 x 52 x 88 x 104 x 286 x 572 x 1144 = 143461748846450700000.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1144? Help her in writing all the factors.

Positive factors are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144.
Negative factors are -1, -2, -4, -8, -11, -13, -22, -26, -44, -52, -88, -104, -143, -286, -572, -1144.

How many factors are there for 1144?

Factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144.
So there are in total 16 factors.

Sammy is puzzled while calculating the prime factors of 1144. Can you help him find them?

Factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144.
Prime factors of 1144 are 2, 2, 2, 11, 13

Joey wants to write all the prime factors of 1144 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1144 are 2, 2, 2, 11, 13.
So in exponential form it can be written as 23 x 11 x 13.

What is prime factorization of 1144?

Prime factorization of 1144 is 2 x 2 x 2 x 11 x 13 = 23 x 11 x 13.

Can you help Rubel to find out the product of the even factors of 1144?

Factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144.
Even factors of 1144 are 2, 4, 8, 22, 26, 44, 52, 88, 104, 286, 572, 1144.
Hence, product of even factors of 1144 is; 2 x 4 x 8 x 22 x 26 x 44 x 52 x 88 x 104 x 286 x 572 x 1144 = 143461748846450700000.