Factors of 4480 in pair are (1, 4480) , (2, 2240) , (4, 1120) , (5, 896) , (7, 640) , (8, 560) , (10, 448) , (14, 320) , (16, 280) , (20, 224) , (28, 160) , (32, 140) , (35, 128) , (40, 112) , (56, 80) and (64, 70)

How to find factors of a number in pair

Steps to find factors of 4480 in pair

Example: Find factors of 4480 in pair

Factor Pair Pair Factorization
1 and 4480 1 x 4480 = 4480
2 and 2240 2 x 2240 = 4480
4 and 1120 4 x 1120 = 4480
5 and 896 5 x 896 = 4480
7 and 640 7 x 640 = 4480
8 and 560 8 x 560 = 4480
10 and 448 10 x 448 = 4480
14 and 320 14 x 320 = 4480
16 and 280 16 x 280 = 4480
20 and 224 20 x 224 = 4480
28 and 160 28 x 160 = 4480
32 and 140 32 x 140 = 4480
35 and 128 35 x 128 = 4480
40 and 112 40 x 112 = 4480
56 and 80 56 x 80 = 4480
64 and 70 64 x 70 = 4480

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 4480. They are called negative pair factors.

Hence, the negative pairs of 4480 would be ( -1 , -4480 ) .

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 4480 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 16 , 20 , 28 , 32 , 35 , 40 , 56 , 64 , 70 , 80 , 112 , 128 , 140 , 160 , 224 , 280 , 320 , 448 , 560 , 640 , 896 , 1120 , 2240 , 4480. So, factors of 4480 in pair are (1,4480), (2,2240), (4,1120), (5,896), (7,640), (8,560), (10,448), (14,320), (16,280), (20,224), (28,160), (32,140), (35,128), (40,112), (56,80), (64,70).

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. 4480 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 4480.
  • Every number is a factor of zero (0), since 4480 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, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480 are exact divisors of 4480.
  • Factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480. Each factor divides 4480 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480 are all less than or equal to 4480.

Steps to find Factors of 4480

  • Step 1. Find all the numbers that would divide 4480 without leaving any remainder. Starting with the number 1 upto 2240 (half of 4480). The number 1 and the number itself are always factors of the given number.
    4480 ÷ 1 : Remainder = 0
    4480 ÷ 2 : Remainder = 0
    4480 ÷ 4 : Remainder = 0
    4480 ÷ 5 : Remainder = 0
    4480 ÷ 7 : Remainder = 0
    4480 ÷ 8 : Remainder = 0
    4480 ÷ 10 : Remainder = 0
    4480 ÷ 14 : Remainder = 0
    4480 ÷ 16 : Remainder = 0
    4480 ÷ 20 : Remainder = 0
    4480 ÷ 28 : Remainder = 0
    4480 ÷ 32 : Remainder = 0
    4480 ÷ 35 : Remainder = 0
    4480 ÷ 40 : Remainder = 0
    4480 ÷ 56 : Remainder = 0
    4480 ÷ 64 : Remainder = 0
    4480 ÷ 70 : Remainder = 0
    4480 ÷ 80 : Remainder = 0
    4480 ÷ 112 : Remainder = 0
    4480 ÷ 128 : Remainder = 0
    4480 ÷ 140 : Remainder = 0
    4480 ÷ 160 : Remainder = 0
    4480 ÷ 224 : Remainder = 0
    4480 ÷ 280 : Remainder = 0
    4480 ÷ 320 : Remainder = 0
    4480 ÷ 448 : Remainder = 0
    4480 ÷ 560 : Remainder = 0
    4480 ÷ 640 : Remainder = 0
    4480 ÷ 896 : Remainder = 0
    4480 ÷ 1120 : Remainder = 0
    4480 ÷ 2240 : Remainder = 0
    4480 ÷ 4480 : Remainder = 0

Hence, Factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, and 4480

Frequently Asked Questions

  • Is 4480 a composite number?

    Yes 4480 is a composite number.

  • Is 4480 a prime number?

    No 4480 is not a prime number.

  • Write five multiples of 4480.

    Five multiples of 4480 are 8960, 13440, 17920, 22400, 26880.

  • Write all odd factors of 4480?

    The factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480.
    Odd factors of 4480 are 1 , 5 , 7 , 35.

  • What is the mean of all prime factors of 4480?

    Factors of 4480 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 16 , 20 , 28 , 32 , 35 , 40 , 56 , 64 , 70 , 80 , 112 , 128 , 140 , 160 , 224 , 280 , 320 , 448 , 560 , 640 , 896 , 1120 , 2240 , 4480. Prime factors of 4480 are 2 , 2 , 2 , 2 , 2 , 2 , 2 , 5 , 7. Therefore mean of prime factors of 4480 is (2 + 2 + 2 + 2 + 2 + 2 + 2 + 5 + 7) / 9 = 2.89.

Examples of Factors

Ariel has been asked to write all factor pairs of 4480 but she is finding it difficult. Can you help her find out?

Factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480. So, factors of 4480 in pair are (1,4480), (2,2240), (4,1120), (5,896), (7,640), (8,560), (10,448), (14,320), (16,280), (20,224), (28,160), (32,140), (35,128), (40,112), (56,80), (64,70).

Sammy wants to write all the negative factors of 4480 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 4480 are -1, -2, -4, -5, -7, -8, -10, -14, -16, -20, -28, -32, -35, -40, -56, -64, -70, -80, -112, -128, -140, -160, -224, -280, -320, -448, -560, -640, -896, -1120, -2240, -4480. Hence, factors of 4480 in pair are (-1,-4480), (-2,-2240), (-4,-1120), (-5,-896), (-7,-640), (-8,-560), (-10,-448), (-14,-320), (-16,-280), (-20,-224), (-28,-160), (-32,-140), (-35,-128), (-40,-112), (-56,-80), (-64,-70).

Help Deep in writing the positive factors of 4480 in pair and negative factor of 4480 in pair.

Factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480. Positive factors of 4480 in pair are (1,4480), (2,2240), (4,1120), (5,896), (7,640), (8,560), (10,448), (14,320), (16,280), (20,224), (28,160), (32,140), (35,128), (40,112), (56,80), (64,70). Negative factors of 4480 in pair are (-1,-4480), (-2,-2240), (-4,-1120), (-5,-896), (-7,-640), (-8,-560), (-10,-448), (-14,-320), (-16,-280), (-20,-224), (-28,-160), (-32,-140), (-35,-128), (-40,-112), (-56,-80), (-64,-70).

Find the product of all factors of 4480.

Factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480. So the product of all factors of 4480 would be 1 x 2 x 4 x 5 x 7 x 8 x 10 x 14 x 16 x 20 x 28 x 32 x 35 x 40 x 56 x 64 x 70 x 80 x 112 x 128 x 140 x 160 x 224 x 280 x 320 x 448 x 560 x 640 x 896 x 1120 x 2240 x 4480 = 2.632984023993611e+58.

Find the product of all prime factors of 4480.

Factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480. Prime factors are 2, 2, 2, 2, 2, 2, 2, 5, 7. So, the product of all prime factors of 4480 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 = 4480.

Can you help Sammy list the factors of 4480 and also find the factor pairs?

Factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480.
Factors of 4480 in pair are (1,4480), (2,2240), (4,1120), (5,896), (7,640), (8,560), (10,448), (14,320), (16,280), (20,224), (28,160), (32,140), (35,128), (40,112), (56,80), (64,70).

Sammy has 4480 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 4480 blocks in all possible ways to form a rectangle, we need to calculate factors of 4480 in pair. Therefore, factors of 4480 in pair are (1,4480), (2,2240), (4,1120), (5,896), (7,640), (8,560), (10,448), (14,320), (16,280), (20,224), (28,160), (32,140), (35,128), (40,112), (56,80), (64,70)