Factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, and 4800

How to find factors of a number

1. Steps to find factors of 4800 using Division Method

Example: Find factors of 4800

  • Divide 4800 by 1: 4800 ÷ 1 : Remainder = 0
  • Divide 4800 by 2: 4800 ÷ 2 : Remainder = 0
  • Divide 4800 by 3: 4800 ÷ 3 : Remainder = 0
  • Divide 4800 by 4: 4800 ÷ 4 : Remainder = 0
  • Divide 4800 by 5: 4800 ÷ 5 : Remainder = 0
  • Divide 4800 by 6: 4800 ÷ 6 : Remainder = 0
  • Divide 4800 by 8: 4800 ÷ 8 : Remainder = 0
  • Divide 4800 by 10: 4800 ÷ 10 : Remainder = 0
  • Divide 4800 by 12: 4800 ÷ 12 : Remainder = 0
  • Divide 4800 by 15: 4800 ÷ 15 : Remainder = 0
  • Divide 4800 by 16: 4800 ÷ 16 : Remainder = 0
  • Divide 4800 by 20: 4800 ÷ 20 : Remainder = 0
  • Divide 4800 by 24: 4800 ÷ 24 : Remainder = 0
  • Divide 4800 by 25: 4800 ÷ 25 : Remainder = 0
  • Divide 4800 by 30: 4800 ÷ 30 : Remainder = 0
  • Divide 4800 by 32: 4800 ÷ 32 : Remainder = 0
  • Divide 4800 by 40: 4800 ÷ 40 : Remainder = 0
  • Divide 4800 by 48: 4800 ÷ 48 : Remainder = 0
  • Divide 4800 by 50: 4800 ÷ 50 : Remainder = 0
  • Divide 4800 by 60: 4800 ÷ 60 : Remainder = 0
  • Divide 4800 by 64: 4800 ÷ 64 : Remainder = 0
  • Divide 4800 by 75: 4800 ÷ 75 : Remainder = 0
  • Divide 4800 by 80: 4800 ÷ 80 : Remainder = 0
  • Divide 4800 by 96: 4800 ÷ 96 : Remainder = 0
  • Divide 4800 by 100: 4800 ÷ 100 : Remainder = 0
  • Divide 4800 by 120: 4800 ÷ 120 : Remainder = 0
  • Divide 4800 by 150: 4800 ÷ 150 : Remainder = 0
  • Divide 4800 by 160: 4800 ÷ 160 : Remainder = 0
  • Divide 4800 by 192: 4800 ÷ 192 : Remainder = 0
  • Divide 4800 by 200: 4800 ÷ 200 : Remainder = 0
  • Divide 4800 by 240: 4800 ÷ 240 : Remainder = 0
  • Divide 4800 by 300: 4800 ÷ 300 : Remainder = 0
  • Divide 4800 by 320: 4800 ÷ 320 : Remainder = 0
  • Divide 4800 by 400: 4800 ÷ 400 : Remainder = 0
  • Divide 4800 by 480: 4800 ÷ 480 : Remainder = 0
  • Divide 4800 by 600: 4800 ÷ 600 : Remainder = 0
  • Divide 4800 by 800: 4800 ÷ 800 : Remainder = 0
  • Divide 4800 by 960: 4800 ÷ 960 : Remainder = 0
  • Divide 4800 by 1200: 4800 ÷ 1200 : Remainder = 0
  • Divide 4800 by 1600: 4800 ÷ 1600 : Remainder = 0
  • Divide 4800 by 2400: 4800 ÷ 2400 : Remainder = 0
  • Divide 4800 by 4800: 4800 ÷ 4800 : Remainder = 0

Hence, Factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, and 4800

2. Steps to find factors of 4800 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 4800 using the division method, follow these steps:

  • Step 1. Start dividing 4800 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 4800, which is 2. Divide 4800 by 2 to obtain the quotient (2400).
    4800 ÷ 2 = 2400
  • Step 3. Repeat step 1 with the obtained quotient (2400).
    2400 ÷ 2 = 1200
    1200 ÷ 2 = 600
    600 ÷ 2 = 300
    300 ÷ 2 = 150
    150 ÷ 2 = 75
    75 ÷ 3 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 4800 is, 4800 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 4800 as shown below:

So, the prime factorization of 4800 is, 4800 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5.

3. Find factors of 4800 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 4800 would be the two numbers which, when multiplied, give 4800 as the result.

The following table represents the calculation of factors of 4800 in pairs:

Factor Pair Pair Factorization
1 and 4800 1 x 4800 = 4800
2 and 2400 2 x 2400 = 4800
3 and 1600 3 x 1600 = 4800
4 and 1200 4 x 1200 = 4800
5 and 960 5 x 960 = 4800
6 and 800 6 x 800 = 4800
8 and 600 8 x 600 = 4800
10 and 480 10 x 480 = 4800
12 and 400 12 x 400 = 4800
15 and 320 15 x 320 = 4800
16 and 300 16 x 300 = 4800
20 and 240 20 x 240 = 4800
24 and 200 24 x 200 = 4800
25 and 192 25 x 192 = 4800
30 and 160 30 x 160 = 4800
32 and 150 32 x 150 = 4800
40 and 120 40 x 120 = 4800
48 and 100 48 x 100 = 4800
50 and 96 50 x 96 = 4800
60 and 80 60 x 80 = 4800
64 and 75 64 x 75 = 4800

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 4800. They are called negative pair factors.

Hence, the negative pairs of 4800 would be ( -1 , -4800 ) , ( -2 , -2400 ) , ( -3 , -1600 ) , ( -4 , -1200 ) , ( -5 , -960 ) , ( -6 , -800 ) , ( -8 , -600 ) , ( -10 , -480 ) , ( -12 , -400 ) , ( -15 , -320 ) , ( -16 , -300 ) , ( -20 , -240 ) , ( -24 , -200 ) , ( -25 , -192 ) , ( -30 , -160 ) , ( -32 , -150 ) , ( -40 , -120 ) , ( -48 , -100 ) , ( -50 , -96 ) , ( -60 , -80 ) and ( -64 , -75 ) .

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. 4800 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 4800.
  • Every number is a factor of zero (0), since 4800 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, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800 are exact divisors of 4800.
  • Factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800. Each factor divides 4800 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, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800 are all less than or equal to 4800.

Frequently Asked Questions

  • What are the prime factors of 4800?

    The factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800.
    Prime factors of 4800 are 2, 2, 2, 2, 2, 2, 3, 5, 5.

  • What two numbers make 4800?

    Two numbers that make 4800 are 2 and 2400.

  • What is the greatest prime factors of 4800?

    The greatest prime factor of 4800 is 5.

  • What are factors of 4800?

    Factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800.

  • How do you find factors of a negative number? ( eg. -4800 )?

    Factors of -4800 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -32, -40, -48, -50, -60, -64, -75, -80, -96, -100, -120, -150, -160, -192, -200, -240, -300, -320, -400, -480, -600, -800, -960, -1200, -1600, -2400, -4800.

  • What are five multiples of 4800?

    First five multiples of 4800 are 9600, 14400, 19200, 24000, 28800.

  • Write some multiples of 4800?

    First five multiples of 4800 are 9600, 14400, 19200, 24000.

  • Is 4800 a perfect square?

    No 4800 is not a perfect square.

  • What two numbers make 4800?

    Two numbers that make 4800 are 2 and 2400.

Examples of Factors

What is prime factorization of 4800?

Prime factorization of 4800 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 = 26 x 3 x 52.

Sammy is puzzled while calculating the prime factors of 4800. Can you help him find them?

Factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800.
Prime factors of 4800 are 2, 2, 2, 2, 2, 2, 3, 5, 5

Kevin has been asked to write 41 factor(s) of 4800. Can you predict the answer?

41 factor(s) of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400.

Joey wants to write all the prime factors of 4800 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 4800 are 2, 2, 2, 2, 2, 2, 3, 5, 5.
So in exponential form it can be written as 26 x 3 x 52.

How many factors are there for 4800?

Factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800.
So there are in total 42 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 4800? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -32, -40, -48, -50, -60, -64, -75, -80, -96, -100, -120, -150, -160, -192, -200, -240, -300, -320, -400, -480, -600, -800, -960, -1200, -1600, -2400, -4800.

Can you help Rubel to find out the product of the even factors of 4800?

Factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800.
Even factors of 4800 are 2, 4, 6, 8, 10, 12, 16, 20, 24, 30, 32, 40, 48, 50, 60, 64, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800.
Hence, product of even factors of 4800 is; 2 x 4 x 6 x 8 x 10 x 12 x 16 x 20 x 24 x 30 x 32 x 40 x 48 x 50 x 60 x 64 x 80 x 96 x 100 x 120 x 150 x 160 x 192 x 200 x 240 x 300 x 320 x 400 x 480 x 600 x 800 x 960 x 1200 x 1600 x 2400 x 4800 = 4.796033353726212e+71.