Factors of 1920 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, 320, 384, 480, 640, 960, and 1920

How to find factors of a number

1. Steps to find factors of 1920 using Division Method

Example: Find factors of 1920

  • Divide 1920 by 1: 1920 ÷ 1 : Remainder = 0
  • Divide 1920 by 2: 1920 ÷ 2 : Remainder = 0
  • Divide 1920 by 3: 1920 ÷ 3 : Remainder = 0
  • Divide 1920 by 4: 1920 ÷ 4 : Remainder = 0
  • Divide 1920 by 5: 1920 ÷ 5 : Remainder = 0
  • Divide 1920 by 6: 1920 ÷ 6 : Remainder = 0
  • Divide 1920 by 8: 1920 ÷ 8 : Remainder = 0
  • Divide 1920 by 10: 1920 ÷ 10 : Remainder = 0
  • Divide 1920 by 12: 1920 ÷ 12 : Remainder = 0
  • Divide 1920 by 15: 1920 ÷ 15 : Remainder = 0
  • Divide 1920 by 16: 1920 ÷ 16 : Remainder = 0
  • Divide 1920 by 20: 1920 ÷ 20 : Remainder = 0
  • Divide 1920 by 24: 1920 ÷ 24 : Remainder = 0
  • Divide 1920 by 30: 1920 ÷ 30 : Remainder = 0
  • Divide 1920 by 32: 1920 ÷ 32 : Remainder = 0
  • Divide 1920 by 40: 1920 ÷ 40 : Remainder = 0
  • Divide 1920 by 48: 1920 ÷ 48 : Remainder = 0
  • Divide 1920 by 60: 1920 ÷ 60 : Remainder = 0
  • Divide 1920 by 64: 1920 ÷ 64 : Remainder = 0
  • Divide 1920 by 80: 1920 ÷ 80 : Remainder = 0
  • Divide 1920 by 96: 1920 ÷ 96 : Remainder = 0
  • Divide 1920 by 120: 1920 ÷ 120 : Remainder = 0
  • Divide 1920 by 128: 1920 ÷ 128 : Remainder = 0
  • Divide 1920 by 160: 1920 ÷ 160 : Remainder = 0
  • Divide 1920 by 192: 1920 ÷ 192 : Remainder = 0
  • Divide 1920 by 240: 1920 ÷ 240 : Remainder = 0
  • Divide 1920 by 320: 1920 ÷ 320 : Remainder = 0
  • Divide 1920 by 384: 1920 ÷ 384 : Remainder = 0
  • Divide 1920 by 480: 1920 ÷ 480 : Remainder = 0
  • Divide 1920 by 640: 1920 ÷ 640 : Remainder = 0
  • Divide 1920 by 960: 1920 ÷ 960 : Remainder = 0
  • Divide 1920 by 1920: 1920 ÷ 1920 : Remainder = 0

Hence, Factors of 1920 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, 320, 384, 480, 640, 960, and 1920

2. Steps to find factors of 1920 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 1920 using the division method, follow these steps:

  • Step 1. Start dividing 1920 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 1920, which is 2. Divide 1920 by 2 to obtain the quotient (960).
    1920 ÷ 2 = 960
  • Step 3. Repeat step 1 with the obtained quotient (960).
    960 ÷ 2 = 480
    480 ÷ 2 = 240
    240 ÷ 2 = 120
    120 ÷ 2 = 60
    60 ÷ 2 = 30
    30 ÷ 2 = 15
    15 ÷ 3 = 5
    5 ÷ 5 = 1

So, the prime factorization of 1920 is, 1920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1920 as shown below:

So, the prime factorization of 1920 is, 1920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5.

3. Find factors of 1920 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 1920 would be the two numbers which, when multiplied, give 1920 as the result.

The following table represents the calculation of factors of 1920 in pairs:

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

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 1920. They are called negative pair factors.

Hence, the negative pairs of 1920 would be ( -1 , -1920 ) , ( -2 , -960 ) , ( -3 , -640 ) , ( -4 , -480 ) , ( -5 , -384 ) , ( -6 , -320 ) , ( -8 , -240 ) , ( -10 , -192 ) , ( -12 , -160 ) , ( -15 , -128 ) , ( -16 , -120 ) , ( -20 , -96 ) , ( -24 , -80 ) , ( -30 , -64 ) , ( -32 , -60 ) and ( -40 , -48 ) .

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. 1920 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1920.
  • Every number is a factor of zero (0), since 1920 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, 320, 384, 480, 640, 960, 1920 are exact divisors of 1920.
  • Factors of 1920 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, 320, 384, 480, 640, 960, 1920. Each factor divides 1920 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, 320, 384, 480, 640, 960, 1920 are all less than or equal to 1920.

Frequently Asked Questions

  • What are the prime factors of 1920?

    The factors of 1920 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, 320, 384, 480, 640, 960, 1920.
    Prime factors of 1920 are 2, 2, 2, 2, 2, 2, 2, 3, 5.

  • What two numbers make 1920?

    Two numbers that make 1920 are 2 and 960.

  • What is the greatest prime factors of 1920?

    The greatest prime factor of 1920 is 5.

  • What are factors of 1920?

    Factors of 1920 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, 320, 384, 480, 640, 960, 1920.

  • How do you find factors of a negative number? ( eg. -1920 )?

    Factors of -1920 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, -320, -384, -480, -640, -960, -1920.

  • What are five multiples of 1920?

    First five multiples of 1920 are 3840, 5760, 7680, 9600, 11520.

  • Write some multiples of 1920?

    First five multiples of 1920 are 3840, 5760, 7680, 9600.

  • Is 1920 a perfect square?

    No 1920 is not a perfect square.

  • What two numbers make 1920?

    Two numbers that make 1920 are 2 and 960.

Examples of Factors

What is prime factorization of 1920?

Prime factorization of 1920 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 = 27 x 3 x 5.

Sammy is puzzled while calculating the prime factors of 1920. Can you help him find them?

Factors of 1920 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, 320, 384, 480, 640, 960, 1920.
Prime factors of 1920 are 2, 2, 2, 2, 2, 2, 2, 3, 5

Kevin has been asked to write 31 factor(s) of 1920. Can you predict the answer?

31 factor(s) of 1920 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, 320, 384, 480, 640, 960.

Joey wants to write all the prime factors of 1920 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1920 are 2, 2, 2, 2, 2, 2, 2, 3, 5.
So in exponential form it can be written as 27 x 3 x 5.

How many factors are there for 1920?

Factors of 1920 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, 320, 384, 480, 640, 960, 1920.
So there are in total 32 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1920? Help her in writing all the factors.

Positive factors 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, 320, 384, 480, 640, 960, 1920.
Negative factors 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, -320, -384, -480, -640, -960, -1920.

Can you help Rubel to find out the product of the even factors of 1920?

Factors of 1920 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, 320, 384, 480, 640, 960, 1920.
Even factors of 1920 are 2, 4, 6, 8, 10, 12, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920.
Hence, product of even factors of 1920 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 60 x 64 x 80 x 96 x 120 x 128 x 160 x 192 x 240 x 320 x 384 x 480 x 640 x 960 x 1920 = 1.5157833809307535e+50.