Factors of 2310 in pair 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) and (42, 55)

How to find factors of a number in pair

Steps to find factors of 2310 in pair

Example: Find factors of 2310 in pair

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 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- 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, factors of 2310 in pair 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 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.

Steps to find Factors of 2310

  • Step 1. Find all the numbers that would divide 2310 without leaving any remainder. Starting with the number 1 upto 1155 (half of 2310). The number 1 and the number itself are always factors of the given number.
    2310 ÷ 1 : Remainder = 0
    2310 ÷ 2 : Remainder = 0
    2310 ÷ 3 : Remainder = 0
    2310 ÷ 5 : Remainder = 0
    2310 ÷ 6 : Remainder = 0
    2310 ÷ 7 : Remainder = 0
    2310 ÷ 10 : Remainder = 0
    2310 ÷ 11 : Remainder = 0
    2310 ÷ 14 : Remainder = 0
    2310 ÷ 15 : Remainder = 0
    2310 ÷ 21 : Remainder = 0
    2310 ÷ 22 : Remainder = 0
    2310 ÷ 30 : Remainder = 0
    2310 ÷ 33 : Remainder = 0
    2310 ÷ 35 : Remainder = 0
    2310 ÷ 42 : Remainder = 0
    2310 ÷ 55 : Remainder = 0
    2310 ÷ 66 : Remainder = 0
    2310 ÷ 70 : Remainder = 0
    2310 ÷ 77 : Remainder = 0
    2310 ÷ 105 : Remainder = 0
    2310 ÷ 110 : Remainder = 0
    2310 ÷ 154 : Remainder = 0
    2310 ÷ 165 : Remainder = 0
    2310 ÷ 210 : Remainder = 0
    2310 ÷ 231 : Remainder = 0
    2310 ÷ 330 : Remainder = 0
    2310 ÷ 385 : Remainder = 0
    2310 ÷ 462 : Remainder = 0
    2310 ÷ 770 : Remainder = 0
    2310 ÷ 1155 : Remainder = 0
    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

Frequently Asked Questions

  • Is 2310 a composite number?

    Yes 2310 is a composite number.

  • Is 2310 a prime number?

    No 2310 is not a prime number.

  • What is the mean of 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. therefore mean of factors of 2310 is (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) / 32 = 216.00.

  • What do you mean by proper divisors?

    A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

  • What do you mean by improper divisors?

    An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Can you help Rubel in arranging 2310 blocks in order to form a rectangle in all possible ways? For arranging 2310 blocks in order to form a rectangle in all possible ways we need to find factors of 2310 in pair.

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, factors of 2310 in pair 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).

Ariel has been asked to write all factor pairs of 2310 but she is finding it difficult. Can you help her find out?

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, factors of 2310 in pair 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).

How many total number of factors of 2310 in pair are possible?

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. Hence, the factors of 2310 in pair 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). Therefore, in total 16 pairs of factors are possible.

Sammy wants to write all the negative factors of 2310 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative 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. Hence, factors of 2310 in pair 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).

Help Deep in writing the positive factors of 2310 in pair and negative factor of 2310 in pair.

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. Positive factors of 2310 in pair 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). Negative factors of 2310 in pair 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).

Find the product of 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. So the product of all factors of 2310 would be 1 x 2 x 3 x 5 x 6 x 7 x 10 x 11 x 14 x 15 x 21 x 22 x 30 x 33 x 35 x 42 x 55 x 66 x 70 x 77 x 105 x 110 x 154 x 165 x 210 x 231 x 330 x 385 x 462 x 770 x 1155 x 2310 = 6.573424486790346e+53.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 2310.
- Writing all prime factors of 2310.
- Writing all the possible factors of 2310 in pair.
Help him in writing all these.

Positive 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.
Factors of 2310 in pair 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).

Can you help Sammy list the factors of 2310 and also find the factor pairs?

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.
Factors of 2310 in pair 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).