Factors of 7680 in pair are (1, 7680) , (2, 3840) , (3, 2560) , (4, 1920) , (5, 1536) , (6, 1280) , (8, 960) , (10, 768) , (12, 640) , (15, 512) , (16, 480) , (20, 384) , (24, 320) , (30, 256) , (32, 240) , (40, 192) , (48, 160) , (60, 128) , (64, 120) and (80, 96)

How to find factors of a number in pair

Steps to find factors of 7680 in pair

Example: Find factors of 7680 in pair

Factor Pair Pair Factorization
1 and 7680 1 x 7680 = 7680
2 and 3840 2 x 3840 = 7680
3 and 2560 3 x 2560 = 7680
4 and 1920 4 x 1920 = 7680
5 and 1536 5 x 1536 = 7680
6 and 1280 6 x 1280 = 7680
8 and 960 8 x 960 = 7680
10 and 768 10 x 768 = 7680
12 and 640 12 x 640 = 7680
15 and 512 15 x 512 = 7680
16 and 480 16 x 480 = 7680
20 and 384 20 x 384 = 7680
24 and 320 24 x 320 = 7680
30 and 256 30 x 256 = 7680
32 and 240 32 x 240 = 7680
40 and 192 40 x 192 = 7680
48 and 160 48 x 160 = 7680
60 and 128 60 x 128 = 7680
64 and 120 64 x 120 = 7680
80 and 96 80 x 96 = 7680

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 7680. They are called negative pair factors.

Hence, the negative pairs of 7680 would be ( -1 , -7680 ) .

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 7680 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 30 , 32 , 40 , 48 , 60 , 64 , 80 , 96 , 120 , 128 , 160 , 192 , 240 , 256 , 320 , 384 , 480 , 512 , 640 , 768 , 960 , 1280 , 1536 , 1920 , 2560 , 3840 , 7680. So, factors of 7680 in pair are (1,7680), (2,3840), (3,2560), (4,1920), (5,1536), (6,1280), (8,960), (10,768), (12,640), (15,512), (16,480), (20,384), (24,320), (30,256), (32,240), (40,192), (48,160), (60,128), (64,120), (80,96).

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. 7680 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 7680.
  • Every number is a factor of zero (0), since 7680 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, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680 are exact divisors of 7680.
  • Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. Each factor divides 7680 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, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680 are all less than or equal to 7680.

Steps to find Factors of 7680

  • Step 1. Find all the numbers that would divide 7680 without leaving any remainder. Starting with the number 1 upto 3840 (half of 7680). The number 1 and the number itself are always factors of the given number.
    7680 ÷ 1 : Remainder = 0
    7680 ÷ 2 : Remainder = 0
    7680 ÷ 3 : Remainder = 0
    7680 ÷ 4 : Remainder = 0
    7680 ÷ 5 : Remainder = 0
    7680 ÷ 6 : Remainder = 0
    7680 ÷ 8 : Remainder = 0
    7680 ÷ 10 : Remainder = 0
    7680 ÷ 12 : Remainder = 0
    7680 ÷ 15 : Remainder = 0
    7680 ÷ 16 : Remainder = 0
    7680 ÷ 20 : Remainder = 0
    7680 ÷ 24 : Remainder = 0
    7680 ÷ 30 : Remainder = 0
    7680 ÷ 32 : Remainder = 0
    7680 ÷ 40 : Remainder = 0
    7680 ÷ 48 : Remainder = 0
    7680 ÷ 60 : Remainder = 0
    7680 ÷ 64 : Remainder = 0
    7680 ÷ 80 : Remainder = 0
    7680 ÷ 96 : Remainder = 0
    7680 ÷ 120 : Remainder = 0
    7680 ÷ 128 : Remainder = 0
    7680 ÷ 160 : Remainder = 0
    7680 ÷ 192 : Remainder = 0
    7680 ÷ 240 : Remainder = 0
    7680 ÷ 256 : Remainder = 0
    7680 ÷ 320 : Remainder = 0
    7680 ÷ 384 : Remainder = 0
    7680 ÷ 480 : Remainder = 0
    7680 ÷ 512 : Remainder = 0
    7680 ÷ 640 : Remainder = 0
    7680 ÷ 768 : Remainder = 0
    7680 ÷ 960 : Remainder = 0
    7680 ÷ 1280 : Remainder = 0
    7680 ÷ 1536 : Remainder = 0
    7680 ÷ 1920 : Remainder = 0
    7680 ÷ 2560 : Remainder = 0
    7680 ÷ 3840 : Remainder = 0
    7680 ÷ 7680 : Remainder = 0

Hence, Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, and 7680

Frequently Asked Questions

  • Is 7680 a composite number?

    Yes 7680 is a composite number.

  • Is 7680 a prime number?

    No 7680 is not a prime number.

  • What is the mean of factors of 7680?

    Factors of 7680 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 30 , 32 , 40 , 48 , 60 , 64 , 80 , 96 , 120 , 128 , 160 , 192 , 240 , 256 , 320 , 384 , 480 , 512 , 640 , 768 , 960 , 1280 , 1536 , 1920 , 2560 , 3840 , 7680. therefore mean of factors of 7680 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 40 + 48 + 60 + 64 + 80 + 96 + 120 + 128 + 160 + 192 + 240 + 256 + 320 + 384 + 480 + 512 + 640 + 768 + 960 + 1280 + 1536 + 1920 + 2560 + 3840 + 7680) / 40 = 613.80.

  • 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 7680 but she is finding it difficult. Can you help her find out?

Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. So, factors of 7680 in pair are (1,7680), (2,3840), (3,2560), (4,1920), (5,1536), (6,1280), (8,960), (10,768), (12,640), (15,512), (16,480), (20,384), (24,320), (30,256), (32,240), (40,192), (48,160), (60,128), (64,120), (80,96).

Sammy wants to write all the negative factors of 7680 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 7680 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -30, -32, -40, -48, -60, -64, -80, -96, -120, -128, -160, -192, -240, -256, -320, -384, -480, -512, -640, -768, -960, -1280, -1536, -1920, -2560, -3840, -7680. Hence, factors of 7680 in pair are (-1,-7680), (-2,-3840), (-3,-2560), (-4,-1920), (-5,-1536), (-6,-1280), (-8,-960), (-10,-768), (-12,-640), (-15,-512), (-16,-480), (-20,-384), (-24,-320), (-30,-256), (-32,-240), (-40,-192), (-48,-160), (-60,-128), (-64,-120), (-80,-96).

Help Deep in writing the positive factors of 7680 in pair and negative factor of 7680 in pair.

Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. Positive factors of 7680 in pair are (1,7680), (2,3840), (3,2560), (4,1920), (5,1536), (6,1280), (8,960), (10,768), (12,640), (15,512), (16,480), (20,384), (24,320), (30,256), (32,240), (40,192), (48,160), (60,128), (64,120), (80,96). Negative factors of 7680 in pair are (-1,-7680), (-2,-3840), (-3,-2560), (-4,-1920), (-5,-1536), (-6,-1280), (-8,-960), (-10,-768), (-12,-640), (-15,-512), (-16,-480), (-20,-384), (-24,-320), (-30,-256), (-32,-240), (-40,-192), (-48,-160), (-60,-128), (-64,-120), (-80,-96).

Find the product of all factors of 7680.

Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. So the product of all factors of 7680 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 30 x 32 x 40 x 48 x 60 x 64 x 80 x 96 x 120 x 128 x 160 x 192 x 240 x 256 x 320 x 384 x 480 x 512 x 640 x 768 x 960 x 1280 x 1536 x 1920 x 2560 x 3840 x 7680 = 5.095941111081351e+77.

Find the product of all prime factors of 7680.

Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. Prime factors are 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5. So, the product of all prime factors of 7680 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 = 7680.

Can you help Sammy list the factors of 7680 and also find the factor pairs?

Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680.
Factors of 7680 in pair are (1,7680), (2,3840), (3,2560), (4,1920), (5,1536), (6,1280), (8,960), (10,768), (12,640), (15,512), (16,480), (20,384), (24,320), (30,256), (32,240), (40,192), (48,160), (60,128), (64,120), (80,96).

Sammy has 7680 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 7680 blocks in all possible ways to form a rectangle, we need to calculate factors of 7680 in pair. Therefore, factors of 7680 in pair are (1,7680), (2,3840), (3,2560), (4,1920), (5,1536), (6,1280), (8,960), (10,768), (12,640), (15,512), (16,480), (20,384), (24,320), (30,256), (32,240), (40,192), (48,160), (60,128), (64,120), (80,96)