Factors of 6300 in pair are (1, 6300) , (2, 3150) , (3, 2100) , (4, 1575) , (5, 1260) , (6, 1050) , (7, 900) , (9, 700) , (10, 630) , (12, 525) , (14, 450) , (15, 420) , (18, 350) , (20, 315) , (21, 300) , (25, 252) , (28, 225) , (30, 210) , (35, 180) , (36, 175) , (42, 150) , (45, 140) , (50, 126) , (60, 105) , (63, 100) , (70, 90) and (75, 84)

How to find factors of a number in pair

Steps to find factors of 6300 in pair

Example: Find factors of 6300 in pair

Factor Pair Pair Factorization
1 and 6300 1 x 6300 = 6300
2 and 3150 2 x 3150 = 6300
3 and 2100 3 x 2100 = 6300
4 and 1575 4 x 1575 = 6300
5 and 1260 5 x 1260 = 6300
6 and 1050 6 x 1050 = 6300
7 and 900 7 x 900 = 6300
9 and 700 9 x 700 = 6300
10 and 630 10 x 630 = 6300
12 and 525 12 x 525 = 6300
14 and 450 14 x 450 = 6300
15 and 420 15 x 420 = 6300
18 and 350 18 x 350 = 6300
20 and 315 20 x 315 = 6300
21 and 300 21 x 300 = 6300
25 and 252 25 x 252 = 6300
28 and 225 28 x 225 = 6300
30 and 210 30 x 210 = 6300
35 and 180 35 x 180 = 6300
36 and 175 36 x 175 = 6300
42 and 150 42 x 150 = 6300
45 and 140 45 x 140 = 6300
50 and 126 50 x 126 = 6300
60 and 105 60 x 105 = 6300
63 and 100 63 x 100 = 6300
70 and 90 70 x 90 = 6300
75 and 84 75 x 84 = 6300

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 6300. They are called negative pair factors.

Hence, the negative pairs of 6300 would be ( -1 , -6300 ) .

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 6300 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 9 , 10 , 12 , 14 , 15 , 18 , 20 , 21 , 25 , 28 , 30 , 35 , 36 , 42 , 45 , 50 , 60 , 63 , 70 , 75 , 84 , 90 , 100 , 105 , 126 , 140 , 150 , 175 , 180 , 210 , 225 , 252 , 300 , 315 , 350 , 420 , 450 , 525 , 630 , 700 , 900 , 1050 , 1260 , 1575 , 2100 , 3150 , 6300. So, factors of 6300 in pair are (1,6300), (2,3150), (3,2100), (4,1575), (5,1260), (6,1050), (7,900), (9,700), (10,630), (12,525), (14,450), (15,420), (18,350), (20,315), (21,300), (25,252), (28,225), (30,210), (35,180), (36,175), (42,150), (45,140), (50,126), (60,105), (63,100), (70,90), (75,84).

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. 6300 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 6300.
  • Every number is a factor of zero (0), since 6300 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, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300 are exact divisors of 6300.
  • Factors of 6300 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300. Each factor divides 6300 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300 are all less than or equal to 6300.

Steps to find Factors of 6300

  • Step 1. Find all the numbers that would divide 6300 without leaving any remainder. Starting with the number 1 upto 3150 (half of 6300). The number 1 and the number itself are always factors of the given number.
    6300 ÷ 1 : Remainder = 0
    6300 ÷ 2 : Remainder = 0
    6300 ÷ 3 : Remainder = 0
    6300 ÷ 4 : Remainder = 0
    6300 ÷ 5 : Remainder = 0
    6300 ÷ 6 : Remainder = 0
    6300 ÷ 7 : Remainder = 0
    6300 ÷ 9 : Remainder = 0
    6300 ÷ 10 : Remainder = 0
    6300 ÷ 12 : Remainder = 0
    6300 ÷ 14 : Remainder = 0
    6300 ÷ 15 : Remainder = 0
    6300 ÷ 18 : Remainder = 0
    6300 ÷ 20 : Remainder = 0
    6300 ÷ 21 : Remainder = 0
    6300 ÷ 25 : Remainder = 0
    6300 ÷ 28 : Remainder = 0
    6300 ÷ 30 : Remainder = 0
    6300 ÷ 35 : Remainder = 0
    6300 ÷ 36 : Remainder = 0
    6300 ÷ 42 : Remainder = 0
    6300 ÷ 45 : Remainder = 0
    6300 ÷ 50 : Remainder = 0
    6300 ÷ 60 : Remainder = 0
    6300 ÷ 63 : Remainder = 0
    6300 ÷ 70 : Remainder = 0
    6300 ÷ 75 : Remainder = 0
    6300 ÷ 84 : Remainder = 0
    6300 ÷ 90 : Remainder = 0
    6300 ÷ 100 : Remainder = 0
    6300 ÷ 105 : Remainder = 0
    6300 ÷ 126 : Remainder = 0
    6300 ÷ 140 : Remainder = 0
    6300 ÷ 150 : Remainder = 0
    6300 ÷ 175 : Remainder = 0
    6300 ÷ 180 : Remainder = 0
    6300 ÷ 210 : Remainder = 0
    6300 ÷ 225 : Remainder = 0
    6300 ÷ 252 : Remainder = 0
    6300 ÷ 300 : Remainder = 0
    6300 ÷ 315 : Remainder = 0
    6300 ÷ 350 : Remainder = 0
    6300 ÷ 420 : Remainder = 0
    6300 ÷ 450 : Remainder = 0
    6300 ÷ 525 : Remainder = 0
    6300 ÷ 630 : Remainder = 0
    6300 ÷ 700 : Remainder = 0
    6300 ÷ 900 : Remainder = 0
    6300 ÷ 1050 : Remainder = 0
    6300 ÷ 1260 : Remainder = 0
    6300 ÷ 1575 : Remainder = 0
    6300 ÷ 2100 : Remainder = 0
    6300 ÷ 3150 : Remainder = 0
    6300 ÷ 6300 : Remainder = 0

Hence, Factors of 6300 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, and 6300

Frequently Asked Questions

  • Is 6300 a composite number?

    Yes 6300 is a composite number.

  • Is 6300 a prime number?

    No 6300 is not a prime number.

  • What is the mean of factors of 6300?

    Factors of 6300 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 9 , 10 , 12 , 14 , 15 , 18 , 20 , 21 , 25 , 28 , 30 , 35 , 36 , 42 , 45 , 50 , 60 , 63 , 70 , 75 , 84 , 90 , 100 , 105 , 126 , 140 , 150 , 175 , 180 , 210 , 225 , 252 , 300 , 315 , 350 , 420 , 450 , 525 , 630 , 700 , 900 , 1050 , 1260 , 1575 , 2100 , 3150 , 6300. therefore mean of factors of 6300 is (1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 25 + 28 + 30 + 35 + 36 + 42 + 45 + 50 + 60 + 63 + 70 + 75 + 84 + 90 + 100 + 105 + 126 + 140 + 150 + 175 + 180 + 210 + 225 + 252 + 300 + 315 + 350 + 420 + 450 + 525 + 630 + 700 + 900 + 1050 + 1260 + 1575 + 2100 + 3150 + 6300) / 54 = 417.93.

  • 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

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 6300.
- Writing all prime factors of 6300.
- Writing all the possible factors of 6300 in pair.
Help him in writing all these.

Positive factors of 6300 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300.
Prime factors of 6300 are 2, 2, 3, 3, 5, 5, 7.
Factors of 6300 in pair are (1,6300), (2,3150), (3,2100), (4,1575), (5,1260), (6,1050), (7,900), (9,700), (10,630), (12,525), (14,450), (15,420), (18,350), (20,315), (21,300), (25,252), (28,225), (30,210), (35,180), (36,175), (42,150), (45,140), (50,126), (60,105), (63,100), (70,90), (75,84).

What are the pair factors of 6300?

Factors of 6300 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300. Hence, the factors of 6300 in pair are (1,6300), (2,3150), (3,2100), (4,1575), (5,1260), (6,1050), (7,900), (9,700), (10,630), (12,525), (14,450), (15,420), (18,350), (20,315), (21,300), (25,252), (28,225), (30,210), (35,180), (36,175), (42,150), (45,140), (50,126), (60,105), (63,100), (70,90), (75,84).

Can you help Sammy list the factors of 6300 and also find the factor pairs?

Factors of 6300 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300.
Factors of 6300 in pair are (1,6300), (2,3150), (3,2100), (4,1575), (5,1260), (6,1050), (7,900), (9,700), (10,630), (12,525), (14,450), (15,420), (18,350), (20,315), (21,300), (25,252), (28,225), (30,210), (35,180), (36,175), (42,150), (45,140), (50,126), (60,105), (63,100), (70,90), (75,84).

The area of a rectangle is 6300 square meters. List all the possible combinations possible for length and breadth in which a designer can design out all the combinations.

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 6300 in pair. So, the possible combinations (1,6300), (2,3150), (3,2100), (4,1575), (5,1260), (6,1050), (7,900), (9,700), (10,630), (12,525), (14,450), (15,420), (18,350), (20,315), (21,300), (25,252), (28,225), (30,210), (35,180), (36,175), (42,150), (45,140), (50,126), (60,105), (63,100), (70,90), (75,84).

Help Diji in finding factors of 6300 by Prime Factorization method and then sorting factors of 6300 in pairs.

Prime factorization of 6300 is 2 x 2 x 3 x 3 x 5 x 5 x 7. Factors of 6300 in pair can be written as (1,6300), (2,3150), (3,2100), (4,1575), (5,1260), (6,1050), (7,900), (9,700), (10,630), (12,525), (14,450), (15,420), (18,350), (20,315), (21,300), (25,252), (28,225), (30,210), (35,180), (36,175), (42,150), (45,140), (50,126), (60,105), (63,100), (70,90), (75,84).

Write the smallest prime factor of 6300.

Smallest prime factor of 6300 is 2.

Write the largest prime factor of 6300.

Largest prime factor of 6300 is 7.

Diji wants to write all the negative factors of 6300. Can you help Diji in doing the same?

Negative factors of 6300 are -1, -2, -3, -4, -5, -6, -7, -9, -10, -12, -14, -15, -18, -20, -21, -25, -28, -30, -35, -36, -42, -45, -50, -60, -63, -70, -75, -84, -90, -100, -105, -126, -140, -150, -175, -180, -210, -225, -252, -300, -315, -350, -420, -450, -525, -630, -700, -900, -1050, -1260, -1575, -2100, -3150, -6300.