Factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, and 2340

How to find factors of a number

1. Steps to find factors of 2340 using Division Method

Example: Find factors of 2340

  • Divide 2340 by 1: 2340 ÷ 1 : Remainder = 0
  • Divide 2340 by 2: 2340 ÷ 2 : Remainder = 0
  • Divide 2340 by 3: 2340 ÷ 3 : Remainder = 0
  • Divide 2340 by 4: 2340 ÷ 4 : Remainder = 0
  • Divide 2340 by 5: 2340 ÷ 5 : Remainder = 0
  • Divide 2340 by 6: 2340 ÷ 6 : Remainder = 0
  • Divide 2340 by 9: 2340 ÷ 9 : Remainder = 0
  • Divide 2340 by 10: 2340 ÷ 10 : Remainder = 0
  • Divide 2340 by 12: 2340 ÷ 12 : Remainder = 0
  • Divide 2340 by 13: 2340 ÷ 13 : Remainder = 0
  • Divide 2340 by 15: 2340 ÷ 15 : Remainder = 0
  • Divide 2340 by 18: 2340 ÷ 18 : Remainder = 0
  • Divide 2340 by 20: 2340 ÷ 20 : Remainder = 0
  • Divide 2340 by 26: 2340 ÷ 26 : Remainder = 0
  • Divide 2340 by 30: 2340 ÷ 30 : Remainder = 0
  • Divide 2340 by 36: 2340 ÷ 36 : Remainder = 0
  • Divide 2340 by 39: 2340 ÷ 39 : Remainder = 0
  • Divide 2340 by 45: 2340 ÷ 45 : Remainder = 0
  • Divide 2340 by 52: 2340 ÷ 52 : Remainder = 0
  • Divide 2340 by 60: 2340 ÷ 60 : Remainder = 0
  • Divide 2340 by 65: 2340 ÷ 65 : Remainder = 0
  • Divide 2340 by 78: 2340 ÷ 78 : Remainder = 0
  • Divide 2340 by 90: 2340 ÷ 90 : Remainder = 0
  • Divide 2340 by 117: 2340 ÷ 117 : Remainder = 0
  • Divide 2340 by 130: 2340 ÷ 130 : Remainder = 0
  • Divide 2340 by 156: 2340 ÷ 156 : Remainder = 0
  • Divide 2340 by 180: 2340 ÷ 180 : Remainder = 0
  • Divide 2340 by 195: 2340 ÷ 195 : Remainder = 0
  • Divide 2340 by 234: 2340 ÷ 234 : Remainder = 0
  • Divide 2340 by 260: 2340 ÷ 260 : Remainder = 0
  • Divide 2340 by 390: 2340 ÷ 390 : Remainder = 0
  • Divide 2340 by 468: 2340 ÷ 468 : Remainder = 0
  • Divide 2340 by 585: 2340 ÷ 585 : Remainder = 0
  • Divide 2340 by 780: 2340 ÷ 780 : Remainder = 0
  • Divide 2340 by 1170: 2340 ÷ 1170 : Remainder = 0
  • Divide 2340 by 2340: 2340 ÷ 2340 : Remainder = 0

Hence, Factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, and 2340

2. Steps to find factors of 2340 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 2340 using the division method, follow these steps:

  • Step 1. Start dividing 2340 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 2340, which is 2. Divide 2340 by 2 to obtain the quotient (1170).
    2340 ÷ 2 = 1170
  • Step 3. Repeat step 1 with the obtained quotient (1170).
    1170 ÷ 2 = 585
    585 ÷ 3 = 195
    195 ÷ 3 = 65
    65 ÷ 5 = 13
    13 ÷ 13 = 1

So, the prime factorization of 2340 is, 2340 = 2 x 2 x 3 x 3 x 5 x 13.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2340 as shown below:

So, the prime factorization of 2340 is, 2340 = 2 x 2 x 3 x 3 x 5 x 13.

3. Find factors of 2340 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 2340 would be the two numbers which, when multiplied, give 2340 as the result.

The following table represents the calculation of factors of 2340 in pairs:

Factor Pair Pair Factorization
1 and 2340 1 x 2340 = 2340
2 and 1170 2 x 1170 = 2340
3 and 780 3 x 780 = 2340
4 and 585 4 x 585 = 2340
5 and 468 5 x 468 = 2340
6 and 390 6 x 390 = 2340
9 and 260 9 x 260 = 2340
10 and 234 10 x 234 = 2340
12 and 195 12 x 195 = 2340
13 and 180 13 x 180 = 2340
15 and 156 15 x 156 = 2340
18 and 130 18 x 130 = 2340
20 and 117 20 x 117 = 2340
26 and 90 26 x 90 = 2340
30 and 78 30 x 78 = 2340
36 and 65 36 x 65 = 2340
39 and 60 39 x 60 = 2340
45 and 52 45 x 52 = 2340

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 2340. They are called negative pair factors.

Hence, the negative pairs of 2340 would be ( -1 , -2340 ) , ( -2 , -1170 ) , ( -3 , -780 ) , ( -4 , -585 ) , ( -5 , -468 ) , ( -6 , -390 ) , ( -9 , -260 ) , ( -10 , -234 ) , ( -12 , -195 ) , ( -13 , -180 ) , ( -15 , -156 ) , ( -18 , -130 ) , ( -20 , -117 ) , ( -26 , -90 ) , ( -30 , -78 ) , ( -36 , -65 ) , ( -39 , -60 ) and ( -45 , -52 ) .

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. 2340 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 2340.
  • Every number is a factor of zero (0), since 2340 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, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340 are exact divisors of 2340.
  • Factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340. Each factor divides 2340 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340 are all less than or equal to 2340.

Frequently Asked Questions

  • Which is the smallest prime factor of 2340?

    Smallest prime factor of 2340 is 2.

  • Is 2340 a perfect square?

    No 2340 is not a perfect square.

  • What are five multiples of 2340?

    First five multiples of 2340 are 4680, 7020, 9360, 11700, 14040.

  • What is prime factorization of 2340?

    Prime factorization of 2340 is 2 x 2 x 3 x 3 x 5 x 13.

  • What are factors of 2340?

    Factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340.

  • How do you find factors of a negative number? ( eg. -2340 )?

    Factors of -2340 are -1, -2, -3, -4, -5, -6, -9, -10, -12, -13, -15, -18, -20, -26, -30, -36, -39, -45, -52, -60, -65, -78, -90, -117, -130, -156, -180, -195, -234, -260, -390, -468, -585, -780, -1170, -2340.

  • Is 2340 a whole number?

    Yes 2340 is a whole number.

  • Which is greatest factor of 2340?

    The greatest factor of 2340 is 1170.

  • What are the prime factors of 2340?

    The factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340.
    Prime factors of 2340 are 2, 2, 3, 3, 5, 13.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 2340. Can you help her?

Prime factors of 2340 are 2, 2, 3, 3, 5, 13.
Hence, the product of prime factors of 390.

Can you help Rubel to find out the product of the even factors of 2340?

Factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340.
Even factors of 2340 are 2, 4, 6, 10, 12, 18, 20, 26, 30, 36, 52, 60, 78, 90, 130, 156, 180, 234, 260, 390, 468, 780, 1170, 2340.
Hence, product of even factors of 2340 is; 2 x 4 x 6 x 10 x 12 x 18 x 20 x 26 x 30 x 36 x 52 x 60 x 78 x 90 x 130 x 156 x 180 x 234 x 260 x 390 x 468 x 780 x 1170 x 2340 = 1.1039521176299247e+44.

Joy wants to calculate mean of all the factors of 2340. Help him in finding the mean of 2340.

Factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2340 is 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 13 + 15 + 18 + 20 + 26 + 30 + 36 + 39 + 45 + 52 + 60 + 65 + 78 + 90 + 117 + 130 + 156 + 180 + 195 + 234 + 260 + 390 + 468 + 585 + 780 + 1170 + 2340 = 7644.
Hence, the mean of factors of 2340 is 7644 ÷ 36 = 212.33.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2340? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340.
Negative factors are -1, -2, -3, -4, -5, -6, -9, -10, -12, -13, -15, -18, -20, -26, -30, -36, -39, -45, -52, -60, -65, -78, -90, -117, -130, -156, -180, -195, -234, -260, -390, -468, -585, -780, -1170, -2340.

How many factors are there for 2340?

Factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340.
So there are in total 36 factors.

Joey wants to write all the prime factors of 2340 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2340 are 2, 2, 3, 3, 5, 13.
So in exponential form it can be written as 22 x 32 x 5 x 13.

Kevin has been asked to write 35 factor(s) of 2340. Can you predict the answer?

35 factor(s) of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170.