Factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, and 2310

How to find factors of a number

1. Steps to find factors of 2310 using Division Method

Example: Find factors of 2310

  • Divide 2310 by 1: 2310 ÷ 1 : Remainder = 0
  • Divide 2310 by 2: 2310 ÷ 2 : Remainder = 0
  • Divide 2310 by 3: 2310 ÷ 3 : Remainder = 0
  • Divide 2310 by 5: 2310 ÷ 5 : Remainder = 0
  • Divide 2310 by 6: 2310 ÷ 6 : Remainder = 0
  • Divide 2310 by 7: 2310 ÷ 7 : Remainder = 0
  • Divide 2310 by 10: 2310 ÷ 10 : Remainder = 0
  • Divide 2310 by 11: 2310 ÷ 11 : Remainder = 0
  • Divide 2310 by 14: 2310 ÷ 14 : Remainder = 0
  • Divide 2310 by 15: 2310 ÷ 15 : Remainder = 0
  • Divide 2310 by 21: 2310 ÷ 21 : Remainder = 0
  • Divide 2310 by 22: 2310 ÷ 22 : Remainder = 0
  • Divide 2310 by 30: 2310 ÷ 30 : Remainder = 0
  • Divide 2310 by 33: 2310 ÷ 33 : Remainder = 0
  • Divide 2310 by 35: 2310 ÷ 35 : Remainder = 0
  • Divide 2310 by 42: 2310 ÷ 42 : Remainder = 0
  • Divide 2310 by 55: 2310 ÷ 55 : Remainder = 0
  • Divide 2310 by 66: 2310 ÷ 66 : Remainder = 0
  • Divide 2310 by 70: 2310 ÷ 70 : Remainder = 0
  • Divide 2310 by 77: 2310 ÷ 77 : Remainder = 0
  • Divide 2310 by 105: 2310 ÷ 105 : Remainder = 0
  • Divide 2310 by 110: 2310 ÷ 110 : Remainder = 0
  • Divide 2310 by 154: 2310 ÷ 154 : Remainder = 0
  • Divide 2310 by 165: 2310 ÷ 165 : Remainder = 0
  • Divide 2310 by 210: 2310 ÷ 210 : Remainder = 0
  • Divide 2310 by 231: 2310 ÷ 231 : Remainder = 0
  • Divide 2310 by 330: 2310 ÷ 330 : Remainder = 0
  • Divide 2310 by 385: 2310 ÷ 385 : Remainder = 0
  • Divide 2310 by 462: 2310 ÷ 462 : Remainder = 0
  • Divide 2310 by 770: 2310 ÷ 770 : Remainder = 0
  • Divide 2310 by 1155: 2310 ÷ 1155 : Remainder = 0
  • Divide 2310 by 2310: 2310 ÷ 2310 : Remainder = 0

Hence, Factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, and 2310

2. Steps to find factors of 2310 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 2310 using the division method, follow these steps:

  • Step 1. Start dividing 2310 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 2310, which is 2. Divide 2310 by 2 to obtain the quotient (1155).
    2310 ÷ 2 = 1155
  • Step 3. Repeat step 1 with the obtained quotient (1155).
    1155 ÷ 3 = 385
    385 ÷ 5 = 77
    77 ÷ 7 = 11
    11 ÷ 11 = 1

So, the prime factorization of 2310 is, 2310 = 2 x 3 x 5 x 7 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2310 as shown below:

So, the prime factorization of 2310 is, 2310 = 2 x 3 x 5 x 7 x 11.

3. Find factors of 2310 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 2310 would be the two numbers which, when multiplied, give 2310 as the result.

The following table represents the calculation of factors of 2310 in pairs:

Factor Pair Pair Factorization
1 and 2310 1 x 2310 = 2310
2 and 1155 2 x 1155 = 2310
3 and 770 3 x 770 = 2310
5 and 462 5 x 462 = 2310
6 and 385 6 x 385 = 2310
7 and 330 7 x 330 = 2310
10 and 231 10 x 231 = 2310
11 and 210 11 x 210 = 2310
14 and 165 14 x 165 = 2310
15 and 154 15 x 154 = 2310
21 and 110 21 x 110 = 2310
22 and 105 22 x 105 = 2310
30 and 77 30 x 77 = 2310
33 and 70 33 x 70 = 2310
35 and 66 35 x 66 = 2310
42 and 55 42 x 55 = 2310

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 2310. They are called negative pair factors.

Hence, the negative pairs of 2310 would be ( -1 , -2310 ) , ( -2 , -1155 ) , ( -3 , -770 ) , ( -5 , -462 ) , ( -6 , -385 ) , ( -7 , -330 ) , ( -10 , -231 ) , ( -11 , -210 ) , ( -14 , -165 ) , ( -15 , -154 ) , ( -21 , -110 ) , ( -22 , -105 ) , ( -30 , -77 ) , ( -33 , -70 ) , ( -35 , -66 ) and ( -42 , -55 ) .

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. 2310 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, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310 are exact divisors of 2310.
  • 1 is a factor of every number. Eg. 1 is a factor of 2310.
  • Every number is a factor of zero (0), since 2310 x 0 = 0.

Frequently Asked Questions

  • How do you find factors of a negative number? ( eg. -2310 )?

    Factors of -2310 are -1, -2, -3, -5, -6, -7, -10, -11, -14, -15, -21, -22, -30, -33, -35, -42, -55, -66, -70, -77, -105, -110, -154, -165, -210, -231, -330, -385, -462, -770, -1155, -2310.

  • What is the sum of all factors of 2310?

    The sum of all factors of 2310 is 6912.

  • What is prime factorization of 2310?

    Prime factorization of 2310 is 2 x 3 x 5 x 7 x 11.

  • What are the pair factors of 2310?

    Pair factors of 2310 are (1,2310), (2,1155), (3,770), (5,462), (6,385), (7,330), (10,231), (11,210), (14,165), (15,154), (21,110), (22,105), (30,77), (33,70), (35,66), (42,55).

  • What are six multiples of 2310?

    First five multiples of 2310 are 4620, 6930, 9240, 11550, 13860, 16170.

  • Is 2310 a whole number?

    Yes 2310 is a whole number.

  • Which is the smallest prime factor of 2310?

    Smallest prime factor of 2310 is 2.

  • What are five multiples of 2310?

    First five multiples of 2310 are 4620, 6930, 9240, 11550, 13860.

  • Write all factors of 2310?

    Factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310.

Examples of Factors

Joey wants to write all the prime factors of 2310 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2310 are 2, 3, 5, 7, 11.
So in exponential form it can be written as 2 x 3 x 5 x 7 x 11.

How many factors are there for 2310?

Factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310.
So there are in total 32 factors.

Kevin has been asked to write 31 factor(s) of 2310. Can you predict the answer?

31 factor(s) of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155.

Sammy is puzzled while calculating the prime factors of 2310. Can you help him find them?

Factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310.
Prime factors of 2310 are 2, 3, 5, 7, 11

What is prime factorization of 2310?

Prime factorization of 2310 is 2 x 3 x 5 x 7 x 11 = 2 x 3 x 5 x 7 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 2310. Can you help her?

Prime factors of 2310 are 2, 3, 5, 7, 11.
Hence, the product of prime factors of 2310.

Can you help Rubel to find out the product of the even factors of 2310?

Factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310.
Even factors of 2310 are 2, 6, 10, 14, 22, 30, 42, 66, 70, 110, 154, 210, 330, 462, 770, 2310.
Hence, product of even factors of 2310 is; 2 x 6 x 10 x 14 x 22 x 30 x 42 x 66 x 70 x 110 x 154 x 210 x 330 x 462 x 770 x 2310 = 2.0755624470641496e+29.