Factors of 33000 in pair are (1, 33000) , (2, 16500) , (3, 11000) , (4, 8250) , (5, 6600) , (6, 5500) , (8, 4125) , (10, 3300) , (11, 3000) , (12, 2750) , (15, 2200) , (20, 1650) , (22, 1500) , (24, 1375) , (25, 1320) , (30, 1100) , (33, 1000) , (40, 825) , (44, 750) , (50, 660) , (55, 600) , (60, 550) , (66, 500) , (75, 440) , (88, 375) , (100, 330) , (110, 300) , (120, 275) , (125, 264) , (132, 250) , (150, 220) and (165, 200)

How to find factors of a number in pair

Steps to find factors of 33000 in pair

Example: Find factors of 33000 in pair

Factor Pair Pair Factorization
1 and 33000 1 x 33000 = 33000
2 and 16500 2 x 16500 = 33000
3 and 11000 3 x 11000 = 33000
4 and 8250 4 x 8250 = 33000
5 and 6600 5 x 6600 = 33000
6 and 5500 6 x 5500 = 33000
8 and 4125 8 x 4125 = 33000
10 and 3300 10 x 3300 = 33000
11 and 3000 11 x 3000 = 33000
12 and 2750 12 x 2750 = 33000
15 and 2200 15 x 2200 = 33000
20 and 1650 20 x 1650 = 33000
22 and 1500 22 x 1500 = 33000
24 and 1375 24 x 1375 = 33000
25 and 1320 25 x 1320 = 33000
30 and 1100 30 x 1100 = 33000
33 and 1000 33 x 1000 = 33000
40 and 825 40 x 825 = 33000
44 and 750 44 x 750 = 33000
50 and 660 50 x 660 = 33000
55 and 600 55 x 600 = 33000
60 and 550 60 x 550 = 33000
66 and 500 66 x 500 = 33000
75 and 440 75 x 440 = 33000
88 and 375 88 x 375 = 33000
100 and 330 100 x 330 = 33000
110 and 300 110 x 300 = 33000
120 and 275 120 x 275 = 33000
125 and 264 125 x 264 = 33000
132 and 250 132 x 250 = 33000
150 and 220 150 x 220 = 33000
165 and 200 165 x 200 = 33000

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 33000. They are called negative pair factors.

Hence, the negative pairs of 33000 would be ( -1 , -33000 ) .

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 33000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 11 , 12 , 15 , 20 , 22 , 24 , 25 , 30 , 33 , 40 , 44 , 50 , 55 , 60 , 66 , 75 , 88 , 100 , 110 , 120 , 125 , 132 , 150 , 165 , 200 , 220 , 250 , 264 , 275 , 300 , 330 , 375 , 440 , 500 , 550 , 600 , 660 , 750 , 825 , 1000 , 1100 , 1320 , 1375 , 1500 , 1650 , 2200 , 2750 , 3000 , 3300 , 4125 , 5500 , 6600 , 8250 , 11000 , 16500 , 33000. So, factors of 33000 in pair are (1,33000), (2,16500), (3,11000), (4,8250), (5,6600), (6,5500), (8,4125), (10,3300), (11,3000), (12,2750), (15,2200), (20,1650), (22,1500), (24,1375), (25,1320), (30,1100), (33,1000), (40,825), (44,750), (50,660), (55,600), (60,550), (66,500), (75,440), (88,375), (100,330), (110,300), (120,275), (125,264), (132,250), (150,220), (165,200).

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. 33000 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 33000.
  • Every number is a factor of zero (0), since 33000 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, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 125, 132, 150, 165, 200, 220, 250, 264, 275, 300, 330, 375, 440, 500, 550, 600, 660, 750, 825, 1000, 1100, 1320, 1375, 1500, 1650, 2200, 2750, 3000, 3300, 4125, 5500, 6600, 8250, 11000, 16500, 33000 are exact divisors of 33000.
  • Factors of 33000 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 125, 132, 150, 165, 200, 220, 250, 264, 275, 300, 330, 375, 440, 500, 550, 600, 660, 750, 825, 1000, 1100, 1320, 1375, 1500, 1650, 2200, 2750, 3000, 3300, 4125, 5500, 6600, 8250, 11000, 16500, 33000. Each factor divides 33000 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, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 125, 132, 150, 165, 200, 220, 250, 264, 275, 300, 330, 375, 440, 500, 550, 600, 660, 750, 825, 1000, 1100, 1320, 1375, 1500, 1650, 2200, 2750, 3000, 3300, 4125, 5500, 6600, 8250, 11000, 16500, 33000 are all less than or equal to 33000.

Steps to find Factors of 33000

  • Step 1. Find all the numbers that would divide 33000 without leaving any remainder. Starting with the number 1 upto 16500 (half of 33000). The number 1 and the number itself are always factors of the given number.
    33000 ÷ 1 : Remainder = 0
    33000 ÷ 2 : Remainder = 0
    33000 ÷ 3 : Remainder = 0
    33000 ÷ 4 : Remainder = 0
    33000 ÷ 5 : Remainder = 0
    33000 ÷ 6 : Remainder = 0
    33000 ÷ 8 : Remainder = 0
    33000 ÷ 10 : Remainder = 0
    33000 ÷ 11 : Remainder = 0
    33000 ÷ 12 : Remainder = 0
    33000 ÷ 15 : Remainder = 0
    33000 ÷ 20 : Remainder = 0
    33000 ÷ 22 : Remainder = 0
    33000 ÷ 24 : Remainder = 0
    33000 ÷ 25 : Remainder = 0
    33000 ÷ 30 : Remainder = 0
    33000 ÷ 33 : Remainder = 0
    33000 ÷ 40 : Remainder = 0
    33000 ÷ 44 : Remainder = 0
    33000 ÷ 50 : Remainder = 0
    33000 ÷ 55 : Remainder = 0
    33000 ÷ 60 : Remainder = 0
    33000 ÷ 66 : Remainder = 0
    33000 ÷ 75 : Remainder = 0
    33000 ÷ 88 : Remainder = 0
    33000 ÷ 100 : Remainder = 0
    33000 ÷ 110 : Remainder = 0
    33000 ÷ 120 : Remainder = 0
    33000 ÷ 125 : Remainder = 0
    33000 ÷ 132 : Remainder = 0
    33000 ÷ 150 : Remainder = 0
    33000 ÷ 165 : Remainder = 0
    33000 ÷ 200 : Remainder = 0
    33000 ÷ 220 : Remainder = 0
    33000 ÷ 250 : Remainder = 0
    33000 ÷ 264 : Remainder = 0
    33000 ÷ 275 : Remainder = 0
    33000 ÷ 300 : Remainder = 0
    33000 ÷ 330 : Remainder = 0
    33000 ÷ 375 : Remainder = 0
    33000 ÷ 440 : Remainder = 0
    33000 ÷ 500 : Remainder = 0
    33000 ÷ 550 : Remainder = 0
    33000 ÷ 600 : Remainder = 0
    33000 ÷ 660 : Remainder = 0
    33000 ÷ 750 : Remainder = 0
    33000 ÷ 825 : Remainder = 0
    33000 ÷ 1000 : Remainder = 0
    33000 ÷ 1100 : Remainder = 0
    33000 ÷ 1320 : Remainder = 0
    33000 ÷ 1375 : Remainder = 0
    33000 ÷ 1500 : Remainder = 0
    33000 ÷ 1650 : Remainder = 0
    33000 ÷ 2200 : Remainder = 0
    33000 ÷ 2750 : Remainder = 0
    33000 ÷ 3000 : Remainder = 0
    33000 ÷ 3300 : Remainder = 0
    33000 ÷ 4125 : Remainder = 0
    33000 ÷ 5500 : Remainder = 0
    33000 ÷ 6600 : Remainder = 0
    33000 ÷ 8250 : Remainder = 0
    33000 ÷ 11000 : Remainder = 0
    33000 ÷ 16500 : Remainder = 0
    33000 ÷ 33000 : Remainder = 0

Hence, Factors of 33000 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 125, 132, 150, 165, 200, 220, 250, 264, 275, 300, 330, 375, 440, 500, 550, 600, 660, 750, 825, 1000, 1100, 1320, 1375, 1500, 1650, 2200, 2750, 3000, 3300, 4125, 5500, 6600, 8250, 11000, 16500, and 33000

Frequently Asked Questions

  • Is 33000 a composite number?

    Yes 33000 is a composite number.

  • Is 33000 a prime number?

    No 33000 is not a prime number.

  • What is the mean of factors of 33000?

    Factors of 33000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 11 , 12 , 15 , 20 , 22 , 24 , 25 , 30 , 33 , 40 , 44 , 50 , 55 , 60 , 66 , 75 , 88 , 100 , 110 , 120 , 125 , 132 , 150 , 165 , 200 , 220 , 250 , 264 , 275 , 300 , 330 , 375 , 440 , 500 , 550 , 600 , 660 , 750 , 825 , 1000 , 1100 , 1320 , 1375 , 1500 , 1650 , 2200 , 2750 , 3000 , 3300 , 4125 , 5500 , 6600 , 8250 , 11000 , 16500 , 33000. therefore mean of factors of 33000 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 11 + 12 + 15 + 20 + 22 + 24 + 25 + 30 + 33 + 40 + 44 + 50 + 55 + 60 + 66 + 75 + 88 + 100 + 110 + 120 + 125 + 132 + 150 + 165 + 200 + 220 + 250 + 264 + 275 + 300 + 330 + 375 + 440 + 500 + 550 + 600 + 660 + 750 + 825 + 1000 + 1100 + 1320 + 1375 + 1500 + 1650 + 2200 + 2750 + 3000 + 3300 + 4125 + 5500 + 6600 + 8250 + 11000 + 16500 + 33000) / 64 = 1755.00.

  • 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

Ariel has been asked to write all factor pairs of 33000 but she is finding it difficult. Can you help her find out?

Factors of 33000 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 125, 132, 150, 165, 200, 220, 250, 264, 275, 300, 330, 375, 440, 500, 550, 600, 660, 750, 825, 1000, 1100, 1320, 1375, 1500, 1650, 2200, 2750, 3000, 3300, 4125, 5500, 6600, 8250, 11000, 16500, 33000. So, factors of 33000 in pair are (1,33000), (2,16500), (3,11000), (4,8250), (5,6600), (6,5500), (8,4125), (10,3300), (11,3000), (12,2750), (15,2200), (20,1650), (22,1500), (24,1375), (25,1320), (30,1100), (33,1000), (40,825), (44,750), (50,660), (55,600), (60,550), (66,500), (75,440), (88,375), (100,330), (110,300), (120,275), (125,264), (132,250), (150,220), (165,200).

Sammy wants to write all the negative factors of 33000 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 33000 are -1, -2, -3, -4, -5, -6, -8, -10, -11, -12, -15, -20, -22, -24, -25, -30, -33, -40, -44, -50, -55, -60, -66, -75, -88, -100, -110, -120, -125, -132, -150, -165, -200, -220, -250, -264, -275, -300, -330, -375, -440, -500, -550, -600, -660, -750, -825, -1000, -1100, -1320, -1375, -1500, -1650, -2200, -2750, -3000, -3300, -4125, -5500, -6600, -8250, -11000, -16500, -33000. Hence, factors of 33000 in pair are (-1,-33000), (-2,-16500), (-3,-11000), (-4,-8250), (-5,-6600), (-6,-5500), (-8,-4125), (-10,-3300), (-11,-3000), (-12,-2750), (-15,-2200), (-20,-1650), (-22,-1500), (-24,-1375), (-25,-1320), (-30,-1100), (-33,-1000), (-40,-825), (-44,-750), (-50,-660), (-55,-600), (-60,-550), (-66,-500), (-75,-440), (-88,-375), (-100,-330), (-110,-300), (-120,-275), (-125,-264), (-132,-250), (-150,-220), (-165,-200).

Help Deep in writing the positive factors of 33000 in pair and negative factor of 33000 in pair.

Factors of 33000 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 125, 132, 150, 165, 200, 220, 250, 264, 275, 300, 330, 375, 440, 500, 550, 600, 660, 750, 825, 1000, 1100, 1320, 1375, 1500, 1650, 2200, 2750, 3000, 3300, 4125, 5500, 6600, 8250, 11000, 16500, 33000. Positive factors of 33000 in pair are (1,33000), (2,16500), (3,11000), (4,8250), (5,6600), (6,5500), (8,4125), (10,3300), (11,3000), (12,2750), (15,2200), (20,1650), (22,1500), (24,1375), (25,1320), (30,1100), (33,1000), (40,825), (44,750), (50,660), (55,600), (60,550), (66,500), (75,440), (88,375), (100,330), (110,300), (120,275), (125,264), (132,250), (150,220), (165,200). Negative factors of 33000 in pair are (-1,-33000), (-2,-16500), (-3,-11000), (-4,-8250), (-5,-6600), (-6,-5500), (-8,-4125), (-10,-3300), (-11,-3000), (-12,-2750), (-15,-2200), (-20,-1650), (-22,-1500), (-24,-1375), (-25,-1320), (-30,-1100), (-33,-1000), (-40,-825), (-44,-750), (-50,-660), (-55,-600), (-60,-550), (-66,-500), (-75,-440), (-88,-375), (-100,-330), (-110,-300), (-120,-275), (-125,-264), (-132,-250), (-150,-220), (-165,-200).

Find the product of all factors of 33000.

Factors of 33000 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 125, 132, 150, 165, 200, 220, 250, 264, 275, 300, 330, 375, 440, 500, 550, 600, 660, 750, 825, 1000, 1100, 1320, 1375, 1500, 1650, 2200, 2750, 3000, 3300, 4125, 5500, 6600, 8250, 11000, 16500, 33000. So the product of all factors of 33000 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 11 x 12 x 15 x 20 x 22 x 24 x 25 x 30 x 33 x 40 x 44 x 50 x 55 x 60 x 66 x 75 x 88 x 100 x 110 x 120 x 125 x 132 x 150 x 165 x 200 x 220 x 250 x 264 x 275 x 300 x 330 x 375 x 440 x 500 x 550 x 600 x 660 x 750 x 825 x 1000 x 1100 x 1320 x 1375 x 1500 x 1650 x 2200 x 2750 x 3000 x 3300 x 4125 x 5500 x 6600 x 8250 x 11000 x 16500 x 33000 = 3.9124254572048804e+144.

Find the product of all prime factors of 33000.

Factors of 33000 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 125, 132, 150, 165, 200, 220, 250, 264, 275, 300, 330, 375, 440, 500, 550, 600, 660, 750, 825, 1000, 1100, 1320, 1375, 1500, 1650, 2200, 2750, 3000, 3300, 4125, 5500, 6600, 8250, 11000, 16500, 33000. Prime factors are 2, 2, 2, 3, 5, 5, 5, 11. So, the product of all prime factors of 33000 would be 2 x 2 x 2 x 3 x 5 x 5 x 5 x 11 = 33000.

Can you help Sammy list the factors of 33000 and also find the factor pairs?

Factors of 33000 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 125, 132, 150, 165, 200, 220, 250, 264, 275, 300, 330, 375, 440, 500, 550, 600, 660, 750, 825, 1000, 1100, 1320, 1375, 1500, 1650, 2200, 2750, 3000, 3300, 4125, 5500, 6600, 8250, 11000, 16500, 33000.
Factors of 33000 in pair are (1,33000), (2,16500), (3,11000), (4,8250), (5,6600), (6,5500), (8,4125), (10,3300), (11,3000), (12,2750), (15,2200), (20,1650), (22,1500), (24,1375), (25,1320), (30,1100), (33,1000), (40,825), (44,750), (50,660), (55,600), (60,550), (66,500), (75,440), (88,375), (100,330), (110,300), (120,275), (125,264), (132,250), (150,220), (165,200).

Sammy has 33000 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 33000 blocks in all possible ways to form a rectangle, we need to calculate factors of 33000 in pair. Therefore, factors of 33000 in pair are (1,33000), (2,16500), (3,11000), (4,8250), (5,6600), (6,5500), (8,4125), (10,3300), (11,3000), (12,2750), (15,2200), (20,1650), (22,1500), (24,1375), (25,1320), (30,1100), (33,1000), (40,825), (44,750), (50,660), (55,600), (60,550), (66,500), (75,440), (88,375), (100,330), (110,300), (120,275), (125,264), (132,250), (150,220), (165,200)