Factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, and 5280

How to find factors of a number

1. Steps to find factors of 5280 using Division Method

Example: Find factors of 5280

  • Divide 5280 by 1: 5280 ÷ 1 : Remainder = 0
  • Divide 5280 by 2: 5280 ÷ 2 : Remainder = 0
  • Divide 5280 by 3: 5280 ÷ 3 : Remainder = 0
  • Divide 5280 by 4: 5280 ÷ 4 : Remainder = 0
  • Divide 5280 by 5: 5280 ÷ 5 : Remainder = 0
  • Divide 5280 by 6: 5280 ÷ 6 : Remainder = 0
  • Divide 5280 by 8: 5280 ÷ 8 : Remainder = 0
  • Divide 5280 by 10: 5280 ÷ 10 : Remainder = 0
  • Divide 5280 by 11: 5280 ÷ 11 : Remainder = 0
  • Divide 5280 by 12: 5280 ÷ 12 : Remainder = 0
  • Divide 5280 by 15: 5280 ÷ 15 : Remainder = 0
  • Divide 5280 by 16: 5280 ÷ 16 : Remainder = 0
  • Divide 5280 by 20: 5280 ÷ 20 : Remainder = 0
  • Divide 5280 by 22: 5280 ÷ 22 : Remainder = 0
  • Divide 5280 by 24: 5280 ÷ 24 : Remainder = 0
  • Divide 5280 by 30: 5280 ÷ 30 : Remainder = 0
  • Divide 5280 by 32: 5280 ÷ 32 : Remainder = 0
  • Divide 5280 by 33: 5280 ÷ 33 : Remainder = 0
  • Divide 5280 by 40: 5280 ÷ 40 : Remainder = 0
  • Divide 5280 by 44: 5280 ÷ 44 : Remainder = 0
  • Divide 5280 by 48: 5280 ÷ 48 : Remainder = 0
  • Divide 5280 by 55: 5280 ÷ 55 : Remainder = 0
  • Divide 5280 by 60: 5280 ÷ 60 : Remainder = 0
  • Divide 5280 by 66: 5280 ÷ 66 : Remainder = 0
  • Divide 5280 by 80: 5280 ÷ 80 : Remainder = 0
  • Divide 5280 by 88: 5280 ÷ 88 : Remainder = 0
  • Divide 5280 by 96: 5280 ÷ 96 : Remainder = 0
  • Divide 5280 by 110: 5280 ÷ 110 : Remainder = 0
  • Divide 5280 by 120: 5280 ÷ 120 : Remainder = 0
  • Divide 5280 by 132: 5280 ÷ 132 : Remainder = 0
  • Divide 5280 by 160: 5280 ÷ 160 : Remainder = 0
  • Divide 5280 by 165: 5280 ÷ 165 : Remainder = 0
  • Divide 5280 by 176: 5280 ÷ 176 : Remainder = 0
  • Divide 5280 by 220: 5280 ÷ 220 : Remainder = 0
  • Divide 5280 by 240: 5280 ÷ 240 : Remainder = 0
  • Divide 5280 by 264: 5280 ÷ 264 : Remainder = 0
  • Divide 5280 by 330: 5280 ÷ 330 : Remainder = 0
  • Divide 5280 by 352: 5280 ÷ 352 : Remainder = 0
  • Divide 5280 by 440: 5280 ÷ 440 : Remainder = 0
  • Divide 5280 by 480: 5280 ÷ 480 : Remainder = 0
  • Divide 5280 by 528: 5280 ÷ 528 : Remainder = 0
  • Divide 5280 by 660: 5280 ÷ 660 : Remainder = 0
  • Divide 5280 by 880: 5280 ÷ 880 : Remainder = 0
  • Divide 5280 by 1056: 5280 ÷ 1056 : Remainder = 0
  • Divide 5280 by 1320: 5280 ÷ 1320 : Remainder = 0
  • Divide 5280 by 1760: 5280 ÷ 1760 : Remainder = 0
  • Divide 5280 by 2640: 5280 ÷ 2640 : Remainder = 0
  • Divide 5280 by 5280: 5280 ÷ 5280 : Remainder = 0

Hence, Factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, and 5280

2. Steps to find factors of 5280 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 5280 using the division method, follow these steps:

  • Step 1. Start dividing 5280 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 5280, which is 2. Divide 5280 by 2 to obtain the quotient (2640).
    5280 ÷ 2 = 2640
  • Step 3. Repeat step 1 with the obtained quotient (2640).
    2640 ÷ 2 = 1320
    1320 ÷ 2 = 660
    660 ÷ 2 = 330
    330 ÷ 2 = 165
    165 ÷ 3 = 55
    55 ÷ 5 = 11
    11 ÷ 11 = 1

So, the prime factorization of 5280 is, 5280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 5280 as shown below:

So, the prime factorization of 5280 is, 5280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11.

3. Find factors of 5280 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 5280 would be the two numbers which, when multiplied, give 5280 as the result.

The following table represents the calculation of factors of 5280 in pairs:

Factor Pair Pair Factorization
1 and 5280 1 x 5280 = 5280
2 and 2640 2 x 2640 = 5280
3 and 1760 3 x 1760 = 5280
4 and 1320 4 x 1320 = 5280
5 and 1056 5 x 1056 = 5280
6 and 880 6 x 880 = 5280
8 and 660 8 x 660 = 5280
10 and 528 10 x 528 = 5280
11 and 480 11 x 480 = 5280
12 and 440 12 x 440 = 5280
15 and 352 15 x 352 = 5280
16 and 330 16 x 330 = 5280
20 and 264 20 x 264 = 5280
22 and 240 22 x 240 = 5280
24 and 220 24 x 220 = 5280
30 and 176 30 x 176 = 5280
32 and 165 32 x 165 = 5280
33 and 160 33 x 160 = 5280
40 and 132 40 x 132 = 5280
44 and 120 44 x 120 = 5280
48 and 110 48 x 110 = 5280
55 and 96 55 x 96 = 5280
60 and 88 60 x 88 = 5280
66 and 80 66 x 80 = 5280

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 5280. They are called negative pair factors.

Hence, the negative pairs of 5280 would be ( -1 , -5280 ) , ( -2 , -2640 ) , ( -3 , -1760 ) , ( -4 , -1320 ) , ( -5 , -1056 ) , ( -6 , -880 ) , ( -8 , -660 ) , ( -10 , -528 ) , ( -11 , -480 ) , ( -12 , -440 ) , ( -15 , -352 ) , ( -16 , -330 ) , ( -20 , -264 ) , ( -22 , -240 ) , ( -24 , -220 ) , ( -30 , -176 ) , ( -32 , -165 ) , ( -33 , -160 ) , ( -40 , -132 ) , ( -44 , -120 ) , ( -48 , -110 ) , ( -55 , -96 ) , ( -60 , -88 ) and ( -66 , -80 ) .

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. 5280 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 5280.
  • Every number is a factor of zero (0), since 5280 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, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280 are exact divisors of 5280.
  • Factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280. Each factor divides 5280 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, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280 are all less than or equal to 5280.

Frequently Asked Questions

  • How do you find factors of a negative number? ( eg. -5280 )?

    Factors of -5280 are -1, -2, -3, -4, -5, -6, -8, -10, -11, -12, -15, -16, -20, -22, -24, -30, -32, -33, -40, -44, -48, -55, -60, -66, -80, -88, -96, -110, -120, -132, -160, -165, -176, -220, -240, -264, -330, -352, -440, -480, -528, -660, -880, -1056, -1320, -1760, -2640, -5280.

  • What is the sum of all factors of 5280?

    The sum of all factors of 5280 is 18144.

  • What is prime factorization of 5280?

    Prime factorization of 5280 is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11.

  • What are the pair factors of 5280?

    Pair factors of 5280 are (1,5280), (2,2640), (3,1760), (4,1320), (5,1056), (6,880), (8,660), (10,528), (11,480), (12,440), (15,352), (16,330), (20,264), (22,240), (24,220), (30,176), (32,165), (33,160), (40,132), (44,120), (48,110), (55,96), (60,88), (66,80).

  • What are six multiples of 5280?

    First five multiples of 5280 are 10560, 15840, 21120, 26400, 31680, 36960.

  • Is 5280 a whole number?

    Yes 5280 is a whole number.

  • Which is the smallest prime factor of 5280?

    Smallest prime factor of 5280 is 2.

  • What are five multiples of 5280?

    First five multiples of 5280 are 10560, 15840, 21120, 26400, 31680.

  • Write all factors of 5280?

    Factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280.

Examples of Factors

Joey wants to write all the prime factors of 5280 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 5280 are 2, 2, 2, 2, 2, 3, 5, 11.
So in exponential form it can be written as 25 x 3 x 5 x 11.

How many factors are there for 5280?

Factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280.
So there are in total 48 factors.

Kevin has been asked to write 47 factor(s) of 5280. Can you predict the answer?

47 factor(s) of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640.

Sammy is puzzled while calculating the prime factors of 5280. Can you help him find them?

Factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280.
Prime factors of 5280 are 2, 2, 2, 2, 2, 3, 5, 11

What is prime factorization of 5280?

Prime factorization of 5280 is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 = 25 x 3 x 5 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 5280. Can you help her?

Prime factors of 5280 are 2, 2, 2, 2, 2, 3, 5, 11.
Hence, the product of prime factors of 330.

Can you help Rubel to find out the product of the even factors of 5280?

Factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280.
Even factors of 5280 are 2, 4, 6, 8, 10, 12, 16, 20, 22, 24, 30, 32, 40, 44, 48, 60, 66, 80, 88, 96, 110, 120, 132, 160, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280.
Hence, product of even factors of 5280 is; 2 x 4 x 6 x 8 x 10 x 12 x 16 x 20 x 22 x 24 x 30 x 32 x 40 x 44 x 48 x 60 x 66 x 80 x 88 x 96 x 110 x 120 x 132 x 160 x 176 x 220 x 240 x 264 x 330 x 352 x 440 x 480 x 528 x 660 x 880 x 1056 x 1320 x 1760 x 2640 x 5280 = 2.973571351525508e+80.