Factors of 60000 in pair are (1, 60000) , (2, 30000) , (3, 20000) , (4, 15000) , (5, 12000) , (6, 10000) , (8, 7500) , (10, 6000) , (12, 5000) , (15, 4000) , (16, 3750) , (20, 3000) , (24, 2500) , (25, 2400) , (30, 2000) , (32, 1875) , (40, 1500) , (48, 1250) , (50, 1200) , (60, 1000) , (75, 800) , (80, 750) , (96, 625) , (100, 600) , (120, 500) , (125, 480) , (150, 400) , (160, 375) , (200, 300) and (240, 250)

How to find factors of a number in pair

Steps to find factors of 60000 in pair

Example: Find factors of 60000 in pair

Factor Pair Pair Factorization
1 and 60000 1 x 60000 = 60000
2 and 30000 2 x 30000 = 60000
3 and 20000 3 x 20000 = 60000
4 and 15000 4 x 15000 = 60000
5 and 12000 5 x 12000 = 60000
6 and 10000 6 x 10000 = 60000
8 and 7500 8 x 7500 = 60000
10 and 6000 10 x 6000 = 60000
12 and 5000 12 x 5000 = 60000
15 and 4000 15 x 4000 = 60000
16 and 3750 16 x 3750 = 60000
20 and 3000 20 x 3000 = 60000
24 and 2500 24 x 2500 = 60000
25 and 2400 25 x 2400 = 60000
30 and 2000 30 x 2000 = 60000
32 and 1875 32 x 1875 = 60000
40 and 1500 40 x 1500 = 60000
48 and 1250 48 x 1250 = 60000
50 and 1200 50 x 1200 = 60000
60 and 1000 60 x 1000 = 60000
75 and 800 75 x 800 = 60000
80 and 750 80 x 750 = 60000
96 and 625 96 x 625 = 60000
100 and 600 100 x 600 = 60000
120 and 500 120 x 500 = 60000
125 and 480 125 x 480 = 60000
150 and 400 150 x 400 = 60000
160 and 375 160 x 375 = 60000
200 and 300 200 x 300 = 60000
240 and 250 240 x 250 = 60000

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 60000. They are called negative pair factors.

Hence, the negative pairs of 60000 would be ( -1 , -60000 ) .

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 60000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 75 , 80 , 96 , 100 , 120 , 125 , 150 , 160 , 200 , 240 , 250 , 300 , 375 , 400 , 480 , 500 , 600 , 625 , 750 , 800 , 1000 , 1200 , 1250 , 1500 , 1875 , 2000 , 2400 , 2500 , 3000 , 3750 , 4000 , 5000 , 6000 , 7500 , 10000 , 12000 , 15000 , 20000 , 30000 , 60000. So, factors of 60000 in pair are (1,60000), (2,30000), (3,20000), (4,15000), (5,12000), (6,10000), (8,7500), (10,6000), (12,5000), (15,4000), (16,3750), (20,3000), (24,2500), (25,2400), (30,2000), (32,1875), (40,1500), (48,1250), (50,1200), (60,1000), (75,800), (80,750), (96,625), (100,600), (120,500), (125,480), (150,400), (160,375), (200,300), (240,250).

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. 60000 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 60000.
  • Every number is a factor of zero (0), since 60000 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, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000 are exact divisors of 60000.
  • Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000. Each factor divides 60000 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, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000 are all less than or equal to 60000.

Steps to find Factors of 60000

  • Step 1. Find all the numbers that would divide 60000 without leaving any remainder. Starting with the number 1 upto 30000 (half of 60000). The number 1 and the number itself are always factors of the given number.
    60000 ÷ 1 : Remainder = 0
    60000 ÷ 2 : Remainder = 0
    60000 ÷ 3 : Remainder = 0
    60000 ÷ 4 : Remainder = 0
    60000 ÷ 5 : Remainder = 0
    60000 ÷ 6 : Remainder = 0
    60000 ÷ 8 : Remainder = 0
    60000 ÷ 10 : Remainder = 0
    60000 ÷ 12 : Remainder = 0
    60000 ÷ 15 : Remainder = 0
    60000 ÷ 16 : Remainder = 0
    60000 ÷ 20 : Remainder = 0
    60000 ÷ 24 : Remainder = 0
    60000 ÷ 25 : Remainder = 0
    60000 ÷ 30 : Remainder = 0
    60000 ÷ 32 : Remainder = 0
    60000 ÷ 40 : Remainder = 0
    60000 ÷ 48 : Remainder = 0
    60000 ÷ 50 : Remainder = 0
    60000 ÷ 60 : Remainder = 0
    60000 ÷ 75 : Remainder = 0
    60000 ÷ 80 : Remainder = 0
    60000 ÷ 96 : Remainder = 0
    60000 ÷ 100 : Remainder = 0
    60000 ÷ 120 : Remainder = 0
    60000 ÷ 125 : Remainder = 0
    60000 ÷ 150 : Remainder = 0
    60000 ÷ 160 : Remainder = 0
    60000 ÷ 200 : Remainder = 0
    60000 ÷ 240 : Remainder = 0
    60000 ÷ 250 : Remainder = 0
    60000 ÷ 300 : Remainder = 0
    60000 ÷ 375 : Remainder = 0
    60000 ÷ 400 : Remainder = 0
    60000 ÷ 480 : Remainder = 0
    60000 ÷ 500 : Remainder = 0
    60000 ÷ 600 : Remainder = 0
    60000 ÷ 625 : Remainder = 0
    60000 ÷ 750 : Remainder = 0
    60000 ÷ 800 : Remainder = 0
    60000 ÷ 1000 : Remainder = 0
    60000 ÷ 1200 : Remainder = 0
    60000 ÷ 1250 : Remainder = 0
    60000 ÷ 1500 : Remainder = 0
    60000 ÷ 1875 : Remainder = 0
    60000 ÷ 2000 : Remainder = 0
    60000 ÷ 2400 : Remainder = 0
    60000 ÷ 2500 : Remainder = 0
    60000 ÷ 3000 : Remainder = 0
    60000 ÷ 3750 : Remainder = 0
    60000 ÷ 4000 : Remainder = 0
    60000 ÷ 5000 : Remainder = 0
    60000 ÷ 6000 : Remainder = 0
    60000 ÷ 7500 : Remainder = 0
    60000 ÷ 10000 : Remainder = 0
    60000 ÷ 12000 : Remainder = 0
    60000 ÷ 15000 : Remainder = 0
    60000 ÷ 20000 : Remainder = 0
    60000 ÷ 30000 : Remainder = 0
    60000 ÷ 60000 : Remainder = 0

Hence, Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, and 60000

Frequently Asked Questions

  • Is 60000 a composite number?

    Yes 60000 is a composite number.

  • Is 60000 a prime number?

    No 60000 is not a prime number.

  • What is the mean of factors of 60000?

    Factors of 60000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 75 , 80 , 96 , 100 , 120 , 125 , 150 , 160 , 200 , 240 , 250 , 300 , 375 , 400 , 480 , 500 , 600 , 625 , 750 , 800 , 1000 , 1200 , 1250 , 1500 , 1875 , 2000 , 2400 , 2500 , 3000 , 3750 , 4000 , 5000 , 6000 , 7500 , 10000 , 12000 , 15000 , 20000 , 30000 , 60000. therefore mean of factors of 60000 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 25 + 30 + 32 + 40 + 48 + 50 + 60 + 75 + 80 + 96 + 100 + 120 + 125 + 150 + 160 + 200 + 240 + 250 + 300 + 375 + 400 + 480 + 500 + 600 + 625 + 750 + 800 + 1000 + 1200 + 1250 + 1500 + 1875 + 2000 + 2400 + 2500 + 3000 + 3750 + 4000 + 5000 + 6000 + 7500 + 10000 + 12000 + 15000 + 20000 + 30000 + 60000) / 60 = 3280.20.

  • 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 60000 but she is finding it difficult. Can you help her find out?

Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000. So, factors of 60000 in pair are (1,60000), (2,30000), (3,20000), (4,15000), (5,12000), (6,10000), (8,7500), (10,6000), (12,5000), (15,4000), (16,3750), (20,3000), (24,2500), (25,2400), (30,2000), (32,1875), (40,1500), (48,1250), (50,1200), (60,1000), (75,800), (80,750), (96,625), (100,600), (120,500), (125,480), (150,400), (160,375), (200,300), (240,250).

Sammy wants to write all the negative factors of 60000 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 60000 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -32, -40, -48, -50, -60, -75, -80, -96, -100, -120, -125, -150, -160, -200, -240, -250, -300, -375, -400, -480, -500, -600, -625, -750, -800, -1000, -1200, -1250, -1500, -1875, -2000, -2400, -2500, -3000, -3750, -4000, -5000, -6000, -7500, -10000, -12000, -15000, -20000, -30000, -60000. Hence, factors of 60000 in pair are (-1,-60000), (-2,-30000), (-3,-20000), (-4,-15000), (-5,-12000), (-6,-10000), (-8,-7500), (-10,-6000), (-12,-5000), (-15,-4000), (-16,-3750), (-20,-3000), (-24,-2500), (-25,-2400), (-30,-2000), (-32,-1875), (-40,-1500), (-48,-1250), (-50,-1200), (-60,-1000), (-75,-800), (-80,-750), (-96,-625), (-100,-600), (-120,-500), (-125,-480), (-150,-400), (-160,-375), (-200,-300), (-240,-250).

Help Deep in writing the positive factors of 60000 in pair and negative factor of 60000 in pair.

Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000. Positive factors of 60000 in pair are (1,60000), (2,30000), (3,20000), (4,15000), (5,12000), (6,10000), (8,7500), (10,6000), (12,5000), (15,4000), (16,3750), (20,3000), (24,2500), (25,2400), (30,2000), (32,1875), (40,1500), (48,1250), (50,1200), (60,1000), (75,800), (80,750), (96,625), (100,600), (120,500), (125,480), (150,400), (160,375), (200,300), (240,250). Negative factors of 60000 in pair are (-1,-60000), (-2,-30000), (-3,-20000), (-4,-15000), (-5,-12000), (-6,-10000), (-8,-7500), (-10,-6000), (-12,-5000), (-15,-4000), (-16,-3750), (-20,-3000), (-24,-2500), (-25,-2400), (-30,-2000), (-32,-1875), (-40,-1500), (-48,-1250), (-50,-1200), (-60,-1000), (-75,-800), (-80,-750), (-96,-625), (-100,-600), (-120,-500), (-125,-480), (-150,-400), (-160,-375), (-200,-300), (-240,-250).

Find the product of all factors of 60000.

Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000. So the product of all factors of 60000 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 32 x 40 x 48 x 50 x 60 x 75 x 80 x 96 x 100 x 120 x 125 x 150 x 160 x 200 x 240 x 250 x 300 x 375 x 400 x 480 x 500 x 600 x 625 x 750 x 800 x 1000 x 1200 x 1250 x 1500 x 1875 x 2000 x 2400 x 2500 x 3000 x 3750 x 4000 x 5000 x 6000 x 7500 x 10000 x 12000 x 15000 x 20000 x 30000 x 60000 = 2.2107391972073325e+143.

Find the product of all prime factors of 60000.

Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000. Prime factors are 2, 2, 2, 2, 2, 3, 5, 5, 5, 5. So, the product of all prime factors of 60000 would be 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 = 60000.

Can you help Sammy list the factors of 60000 and also find the factor pairs?

Factors of 60000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000, 60000.
Factors of 60000 in pair are (1,60000), (2,30000), (3,20000), (4,15000), (5,12000), (6,10000), (8,7500), (10,6000), (12,5000), (15,4000), (16,3750), (20,3000), (24,2500), (25,2400), (30,2000), (32,1875), (40,1500), (48,1250), (50,1200), (60,1000), (75,800), (80,750), (96,625), (100,600), (120,500), (125,480), (150,400), (160,375), (200,300), (240,250).

Sammy has 60000 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 60000 blocks in all possible ways to form a rectangle, we need to calculate factors of 60000 in pair. Therefore, factors of 60000 in pair are (1,60000), (2,30000), (3,20000), (4,15000), (5,12000), (6,10000), (8,7500), (10,6000), (12,5000), (15,4000), (16,3750), (20,3000), (24,2500), (25,2400), (30,2000), (32,1875), (40,1500), (48,1250), (50,1200), (60,1000), (75,800), (80,750), (96,625), (100,600), (120,500), (125,480), (150,400), (160,375), (200,300), (240,250)