1. Steps to find factors of 2320 using Division Method

Example: Find factors of 2320

  • Divide 2320 by 1: 2320 ÷ 1 : Remainder = 0
  • Divide 2320 by 2: 2320 ÷ 2 : Remainder = 0
  • Divide 2320 by 4: 2320 ÷ 4 : Remainder = 0
  • Divide 2320 by 5: 2320 ÷ 5 : Remainder = 0
  • Divide 2320 by 8: 2320 ÷ 8 : Remainder = 0
  • Divide 2320 by 10: 2320 ÷ 10 : Remainder = 0
  • Divide 2320 by 16: 2320 ÷ 16 : Remainder = 0
  • Divide 2320 by 20: 2320 ÷ 20 : Remainder = 0
  • Divide 2320 by 29: 2320 ÷ 29 : Remainder = 0
  • Divide 2320 by 40: 2320 ÷ 40 : Remainder = 0
  • Divide 2320 by 58: 2320 ÷ 58 : Remainder = 0
  • Divide 2320 by 80: 2320 ÷ 80 : Remainder = 0
  • Divide 2320 by 116: 2320 ÷ 116 : Remainder = 0
  • Divide 2320 by 145: 2320 ÷ 145 : Remainder = 0
  • Divide 2320 by 232: 2320 ÷ 232 : Remainder = 0
  • Divide 2320 by 290: 2320 ÷ 290 : Remainder = 0
  • Divide 2320 by 464: 2320 ÷ 464 : Remainder = 0
  • Divide 2320 by 580: 2320 ÷ 580 : Remainder = 0
  • Divide 2320 by 1160: 2320 ÷ 1160 : Remainder = 0
  • Divide 2320 by 2320: 2320 ÷ 2320 : Remainder = 0

Hence, Factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, and 2320

2. Steps to find factors of 2320 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 2320 using the division method, follow these steps:

  • Step 1. Start dividing 2320 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 2320, which is 2. Divide 2320 by 2 to obtain the quotient (1160).
    2320 ÷ 2 = 1160
  • Step 3. Repeat step 1 with the obtained quotient (1160).
    1160 ÷ 2 = 580
    580 ÷ 2 = 290
    290 ÷ 2 = 145
    145 ÷ 5 = 29
    29 ÷ 29 = 1

So, the prime factorization of 2320 is, 2320 = 2 x 2 x 2 x 2 x 5 x 29.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2320 as shown below:

So, the prime factorization of 2320 is, 2320 = 2 x 2 x 2 x 2 x 5 x 29.

3. Find factors of 2320 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 2320 would be the two numbers which, when multiplied, give 2320 as the result.

The following table represents the calculation of factors of 2320 in pairs:

Factor Pair Pair Factorization
1 and 2320 1 x 2320 = 2320
2 and 1160 2 x 1160 = 2320
4 and 580 4 x 580 = 2320
5 and 464 5 x 464 = 2320
8 and 290 8 x 290 = 2320
10 and 232 10 x 232 = 2320
16 and 145 16 x 145 = 2320
20 and 116 20 x 116 = 2320
29 and 80 29 x 80 = 2320
40 and 58 40 x 58 = 2320

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 2320. They are called negative pair factors.

Hence, the negative pairs of 2320 would be ( -1 , -2320 ) , ( -2 , -1160 ) , ( -4 , -580 ) , ( -5 , -464 ) , ( -8 , -290 ) , ( -10 , -232 ) , ( -16 , -145 ) , ( -20 , -116 ) , ( -29 , -80 ) and ( -40 , -58 ) .

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. 2320 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 2320.
  • Every number is a factor of zero (0), since 2320 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, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320 are exact divisors of 2320.
  • Factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320. Each factor divides 2320 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320 are all less than or equal to 2320.

Frequently Asked Questions

  • Which is the smallest prime factor of 2320?

    The smallest prime factor of 2320 is 2.

  • Is 2320 a whole number?

    Yes 2320 is a whole number.

  • What are the prime factors of 2320?

    The factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320.
    Prime factors of 2320 are 2, 2, 2, 2, 5, 29.

  • What two numbers make 2320?

    Two numbers that make 2320 are 2 and 1160.

  • What are multiples of 2320?

    First five multiples of 2320 are 4640, 6960, 9280, 11600.

  • What is the sum of all factors of 2320?

    The sum of all factors of 2320 is 5580.

  • What are five multiples of 2320?

    First five multiples of 2320 are 4640, 6960, 9280, 11600, 13920.

  • Is 2320 a perfect square?

    No 2320 is not a perfect square.

  • What is the greatest prime factors of 2320?

    The greatest prime factor of 2320 is 29.

Examples of Factors

How many factors are there for 2320?

Factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320.
So there are in total 20 factors.

Kevin has been asked to write 19 factor(s) of 2320. Can you predict the answer?

19 factor(s) of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160.

Sammy is puzzled while calculating the prime factors of 2320. Can you help him find them?

Factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320.
Prime factors of 2320 are 2, 2, 2, 2, 5, 29

What is prime factorization of 2320?

Prime factorization of 2320 is 2 x 2 x 2 x 2 x 5 x 29 = 24 x 5 x 29.

Ariel has been assigned the task to find the product of all the prime factors of 2320. Can you help her?

Prime factors of 2320 are 2, 2, 2, 2, 5, 29.
Hence, the product of prime factors of 290.

Can you help Rubel to find out the product of the even factors of 2320?

Factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320.
Even factors of 2320 are 2, 4, 8, 10, 16, 20, 40, 58, 80, 116, 232, 290, 464, 580, 1160, 2320.
Hence, product of even factors of 2320 is; 2 x 4 x 8 x 10 x 16 x 20 x 40 x 58 x 80 x 116 x 232 x 290 x 464 x 580 x 1160 x 2320 = 2.1485419836088055e+29.

Joy wants to calculate mean of all the factors of 2320. Help him in finding the mean of 2320.

Factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2320 is 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 29 + 40 + 58 + 80 + 116 + 145 + 232 + 290 + 464 + 580 + 1160 + 2320 = 5580.
Hence, the mean of factors of 2320 is 5580 ÷ 20 = 279.00.