Factors of 30000 in pair are (1, 30000) , (2, 15000) , (3, 10000) , (4, 7500) , (5, 6000) , (6, 5000) , (8, 3750) , (10, 3000) , (12, 2500) , (15, 2000) , (16, 1875) , (20, 1500) , (24, 1250) , (25, 1200) , (30, 1000) , (40, 750) , (48, 625) , (50, 600) , (60, 500) , (75, 400) , (80, 375) , (100, 300) , (120, 250) , (125, 240) and (150, 200)

How to find factors of a number in pair

Steps to find factors of 30000 in pair

Example: Find factors of 30000 in pair

Factor Pair Pair Factorization
1 and 30000 1 x 30000 = 30000
2 and 15000 2 x 15000 = 30000
3 and 10000 3 x 10000 = 30000
4 and 7500 4 x 7500 = 30000
5 and 6000 5 x 6000 = 30000
6 and 5000 6 x 5000 = 30000
8 and 3750 8 x 3750 = 30000
10 and 3000 10 x 3000 = 30000
12 and 2500 12 x 2500 = 30000
15 and 2000 15 x 2000 = 30000
16 and 1875 16 x 1875 = 30000
20 and 1500 20 x 1500 = 30000
24 and 1250 24 x 1250 = 30000
25 and 1200 25 x 1200 = 30000
30 and 1000 30 x 1000 = 30000
40 and 750 40 x 750 = 30000
48 and 625 48 x 625 = 30000
50 and 600 50 x 600 = 30000
60 and 500 60 x 500 = 30000
75 and 400 75 x 400 = 30000
80 and 375 80 x 375 = 30000
100 and 300 100 x 300 = 30000
120 and 250 120 x 250 = 30000
125 and 240 125 x 240 = 30000
150 and 200 150 x 200 = 30000

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 30000. They are called negative pair factors.

Hence, the negative pairs of 30000 would be ( -1 , -30000 ) .

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 30000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 48 , 50 , 60 , 75 , 80 , 100 , 120 , 125 , 150 , 200 , 240 , 250 , 300 , 375 , 400 , 500 , 600 , 625 , 750 , 1000 , 1200 , 1250 , 1500 , 1875 , 2000 , 2500 , 3000 , 3750 , 5000 , 6000 , 7500 , 10000 , 15000 , 30000. So, factors of 30000 in pair are (1,30000), (2,15000), (3,10000), (4,7500), (5,6000), (6,5000), (8,3750), (10,3000), (12,2500), (15,2000), (16,1875), (20,1500), (24,1250), (25,1200), (30,1000), (40,750), (48,625), (50,600), (60,500), (75,400), (80,375), (100,300), (120,250), (125,240), (150,200).

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. 30000 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 30000.
  • Every number is a factor of zero (0), since 30000 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, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000 are exact divisors of 30000.
  • Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000. Each factor divides 30000 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000 are all less than or equal to 30000.

Steps to find Factors of 30000

  • Step 1. Find all the numbers that would divide 30000 without leaving any remainder. Starting with the number 1 upto 15000 (half of 30000). The number 1 and the number itself are always factors of the given number.
    30000 ÷ 1 : Remainder = 0
    30000 ÷ 2 : Remainder = 0
    30000 ÷ 3 : Remainder = 0
    30000 ÷ 4 : Remainder = 0
    30000 ÷ 5 : Remainder = 0
    30000 ÷ 6 : Remainder = 0
    30000 ÷ 8 : Remainder = 0
    30000 ÷ 10 : Remainder = 0
    30000 ÷ 12 : Remainder = 0
    30000 ÷ 15 : Remainder = 0
    30000 ÷ 16 : Remainder = 0
    30000 ÷ 20 : Remainder = 0
    30000 ÷ 24 : Remainder = 0
    30000 ÷ 25 : Remainder = 0
    30000 ÷ 30 : Remainder = 0
    30000 ÷ 40 : Remainder = 0
    30000 ÷ 48 : Remainder = 0
    30000 ÷ 50 : Remainder = 0
    30000 ÷ 60 : Remainder = 0
    30000 ÷ 75 : Remainder = 0
    30000 ÷ 80 : Remainder = 0
    30000 ÷ 100 : Remainder = 0
    30000 ÷ 120 : Remainder = 0
    30000 ÷ 125 : Remainder = 0
    30000 ÷ 150 : Remainder = 0
    30000 ÷ 200 : Remainder = 0
    30000 ÷ 240 : Remainder = 0
    30000 ÷ 250 : Remainder = 0
    30000 ÷ 300 : Remainder = 0
    30000 ÷ 375 : Remainder = 0
    30000 ÷ 400 : Remainder = 0
    30000 ÷ 500 : Remainder = 0
    30000 ÷ 600 : Remainder = 0
    30000 ÷ 625 : Remainder = 0
    30000 ÷ 750 : Remainder = 0
    30000 ÷ 1000 : Remainder = 0
    30000 ÷ 1200 : Remainder = 0
    30000 ÷ 1250 : Remainder = 0
    30000 ÷ 1500 : Remainder = 0
    30000 ÷ 1875 : Remainder = 0
    30000 ÷ 2000 : Remainder = 0
    30000 ÷ 2500 : Remainder = 0
    30000 ÷ 3000 : Remainder = 0
    30000 ÷ 3750 : Remainder = 0
    30000 ÷ 5000 : Remainder = 0
    30000 ÷ 6000 : Remainder = 0
    30000 ÷ 7500 : Remainder = 0
    30000 ÷ 10000 : Remainder = 0
    30000 ÷ 15000 : Remainder = 0
    30000 ÷ 30000 : Remainder = 0

Hence, Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, and 30000

Frequently Asked Questions

  • Is 30000 a composite number?

    Yes 30000 is a composite number.

  • Is 30000 a prime number?

    No 30000 is not a prime number.

  • What is the mean of factors of 30000?

    Factors of 30000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 48 , 50 , 60 , 75 , 80 , 100 , 120 , 125 , 150 , 200 , 240 , 250 , 300 , 375 , 400 , 500 , 600 , 625 , 750 , 1000 , 1200 , 1250 , 1500 , 1875 , 2000 , 2500 , 3000 , 3750 , 5000 , 6000 , 7500 , 10000 , 15000 , 30000. therefore mean of factors of 30000 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 25 + 30 + 40 + 48 + 50 + 60 + 75 + 80 + 100 + 120 + 125 + 150 + 200 + 240 + 250 + 300 + 375 + 400 + 500 + 600 + 625 + 750 + 1000 + 1200 + 1250 + 1500 + 1875 + 2000 + 2500 + 3000 + 3750 + 5000 + 6000 + 7500 + 10000 + 15000 + 30000) / 50 = 1936.88.

  • 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

Ariel has been asked to write all factor pairs of 30000 but she is finding it difficult. Can you help her find out?

Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000. So, factors of 30000 in pair are (1,30000), (2,15000), (3,10000), (4,7500), (5,6000), (6,5000), (8,3750), (10,3000), (12,2500), (15,2000), (16,1875), (20,1500), (24,1250), (25,1200), (30,1000), (40,750), (48,625), (50,600), (60,500), (75,400), (80,375), (100,300), (120,250), (125,240), (150,200).

Sammy wants to write all the negative factors of 30000 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 30000 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -40, -48, -50, -60, -75, -80, -100, -120, -125, -150, -200, -240, -250, -300, -375, -400, -500, -600, -625, -750, -1000, -1200, -1250, -1500, -1875, -2000, -2500, -3000, -3750, -5000, -6000, -7500, -10000, -15000, -30000. Hence, factors of 30000 in pair are (-1,-30000), (-2,-15000), (-3,-10000), (-4,-7500), (-5,-6000), (-6,-5000), (-8,-3750), (-10,-3000), (-12,-2500), (-15,-2000), (-16,-1875), (-20,-1500), (-24,-1250), (-25,-1200), (-30,-1000), (-40,-750), (-48,-625), (-50,-600), (-60,-500), (-75,-400), (-80,-375), (-100,-300), (-120,-250), (-125,-240), (-150,-200).

Help Deep in writing the positive factors of 30000 in pair and negative factor of 30000 in pair.

Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000. Positive factors of 30000 in pair are (1,30000), (2,15000), (3,10000), (4,7500), (5,6000), (6,5000), (8,3750), (10,3000), (12,2500), (15,2000), (16,1875), (20,1500), (24,1250), (25,1200), (30,1000), (40,750), (48,625), (50,600), (60,500), (75,400), (80,375), (100,300), (120,250), (125,240), (150,200). Negative factors of 30000 in pair are (-1,-30000), (-2,-15000), (-3,-10000), (-4,-7500), (-5,-6000), (-6,-5000), (-8,-3750), (-10,-3000), (-12,-2500), (-15,-2000), (-16,-1875), (-20,-1500), (-24,-1250), (-25,-1200), (-30,-1000), (-40,-750), (-48,-625), (-50,-600), (-60,-500), (-75,-400), (-80,-375), (-100,-300), (-120,-250), (-125,-240), (-150,-200).

Find the product of all factors of 30000.

Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000. So the product of all factors of 30000 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 12 x 15 x 16 x 20 x 24 x 25 x 30 x 40 x 48 x 50 x 60 x 75 x 80 x 100 x 120 x 125 x 150 x 200 x 240 x 250 x 300 x 375 x 400 x 500 x 600 x 625 x 750 x 1000 x 1200 x 1250 x 1500 x 1875 x 2000 x 2500 x 3000 x 3750 x 5000 x 6000 x 7500 x 10000 x 15000 x 30000 = 8.472886094429999e+111.

Find the product of all prime factors of 30000.

Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000. Prime factors are 2, 2, 2, 2, 3, 5, 5, 5, 5. So, the product of all prime factors of 30000 would be 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 = 30000.

Can you help Sammy list the factors of 30000 and also find the factor pairs?

Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000.
Factors of 30000 in pair are (1,30000), (2,15000), (3,10000), (4,7500), (5,6000), (6,5000), (8,3750), (10,3000), (12,2500), (15,2000), (16,1875), (20,1500), (24,1250), (25,1200), (30,1000), (40,750), (48,625), (50,600), (60,500), (75,400), (80,375), (100,300), (120,250), (125,240), (150,200).

Sammy has 30000 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 30000 blocks in all possible ways to form a rectangle, we need to calculate factors of 30000 in pair. Therefore, factors of 30000 in pair are (1,30000), (2,15000), (3,10000), (4,7500), (5,6000), (6,5000), (8,3750), (10,3000), (12,2500), (15,2000), (16,1875), (20,1500), (24,1250), (25,1200), (30,1000), (40,750), (48,625), (50,600), (60,500), (75,400), (80,375), (100,300), (120,250), (125,240), (150,200)