1. Steps to find factors of 1150 using Division Method

Example: Find factors of 1150

  • Divide 1150 by 1: 1150 ÷ 1 : Remainder = 0
  • Divide 1150 by 2: 1150 ÷ 2 : Remainder = 0
  • Divide 1150 by 5: 1150 ÷ 5 : Remainder = 0
  • Divide 1150 by 10: 1150 ÷ 10 : Remainder = 0
  • Divide 1150 by 23: 1150 ÷ 23 : Remainder = 0
  • Divide 1150 by 25: 1150 ÷ 25 : Remainder = 0
  • Divide 1150 by 46: 1150 ÷ 46 : Remainder = 0
  • Divide 1150 by 50: 1150 ÷ 50 : Remainder = 0
  • Divide 1150 by 115: 1150 ÷ 115 : Remainder = 0
  • Divide 1150 by 230: 1150 ÷ 230 : Remainder = 0
  • Divide 1150 by 575: 1150 ÷ 575 : Remainder = 0
  • Divide 1150 by 1150: 1150 ÷ 1150 : Remainder = 0

Hence, Factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, and 1150

2. Steps to find factors of 1150 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 1150 using the division method, follow these steps:

  • Step 1. Start dividing 1150 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 1150, which is 2. Divide 1150 by 2 to obtain the quotient (575).
    1150 ÷ 2 = 575
  • Step 3. Repeat step 1 with the obtained quotient (575).
    575 ÷ 5 = 115
    115 ÷ 5 = 23
    23 ÷ 23 = 1

So, the prime factorization of 1150 is, 1150 = 2 x 5 x 5 x 23.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1150 as shown below:

So, the prime factorization of 1150 is, 1150 = 2 x 5 x 5 x 23.

3. Find factors of 1150 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 1150 would be the two numbers which, when multiplied, give 1150 as the result.

The following table represents the calculation of factors of 1150 in pairs:

Factor Pair Pair Factorization
1 and 1150 1 x 1150 = 1150
2 and 575 2 x 575 = 1150
5 and 230 5 x 230 = 1150
10 and 115 10 x 115 = 1150
23 and 50 23 x 50 = 1150
25 and 46 25 x 46 = 1150

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 1150. They are called negative pair factors.

Hence, the negative pairs of 1150 would be ( -1 , -1150 ) , ( -2 , -575 ) , ( -5 , -230 ) , ( -10 , -115 ) , ( -23 , -50 ) and ( -25 , -46 ) .

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 1150 is a factor of itself.
  • 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, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150 are exact divisors of 1150.
  • 1 is a factor of every number. Eg. 1 is a factor of 1150.
  • Every number is a factor of zero (0), since 1150 x 0 = 0.

Frequently Asked Questions

  • Which is the smallest prime factor of 1150?

    The smallest prime factor of 1150 is 2.

  • Is 1150 a whole number?

    Yes 1150 is a whole number.

  • What are the prime factors of 1150?

    The factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150.
    Prime factors of 1150 are 2, 5, 5, 23.

  • What two numbers make 1150?

    Two numbers that make 1150 are 2 and 575.

  • What are multiples of 1150?

    First five multiples of 1150 are 2300, 3450, 4600, 5750.

  • What is the sum of all factors of 1150?

    The sum of all factors of 1150 is 2232.

  • What are five multiples of 1150?

    First five multiples of 1150 are 2300, 3450, 4600, 5750, 6900.

  • Is 1150 a perfect square?

    No 1150 is not a perfect square.

  • What is the greatest prime factors of 1150?

    The greatest prime factor of 1150 is 23.

Examples of Factors

How many factors are there for 1150?

Factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 1150. Can you predict the answer?

11 factor(s) of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575.

Sammy is puzzled while calculating the prime factors of 1150. Can you help him find them?

Factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150.
Prime factors of 1150 are 2, 5, 5, 23

What is prime factorization of 1150?

Prime factorization of 1150 is 2 x 5 x 5 x 23 = 2 x 52 x 23.

Ariel has been assigned the task to find the product of all the prime factors of 1150. Can you help her?

Prime factors of 1150 are 2, 5, 5, 23.
Hence, the product of prime factors of 230.

Can you help Rubel to find out the product of the even factors of 1150?

Factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150.
Even factors of 1150 are 2, 10, 46, 50, 230, 1150.
Hence, product of even factors of 1150 is; 2 x 10 x 46 x 50 x 230 x 1150 = 12167000000.

Joy wants to calculate mean of all the factors of 1150. Help him in finding the mean of 1150.

Factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1150 is 1 + 2 + 5 + 10 + 23 + 25 + 46 + 50 + 115 + 230 + 575 + 1150 = 2232.
Hence, the mean of factors of 1150 is 2232 ÷ 12 = 186.00.