Factors of 3840 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, 640, 768, 960, 1280, 1920, and 3840

How to find factors of a number

1. Steps to find factors of 3840 using Division Method

Example: Find factors of 3840

  • Divide 3840 by 1: 3840 ÷ 1 : Remainder = 0
  • Divide 3840 by 2: 3840 ÷ 2 : Remainder = 0
  • Divide 3840 by 3: 3840 ÷ 3 : Remainder = 0
  • Divide 3840 by 4: 3840 ÷ 4 : Remainder = 0
  • Divide 3840 by 5: 3840 ÷ 5 : Remainder = 0
  • Divide 3840 by 6: 3840 ÷ 6 : Remainder = 0
  • Divide 3840 by 8: 3840 ÷ 8 : Remainder = 0
  • Divide 3840 by 10: 3840 ÷ 10 : Remainder = 0
  • Divide 3840 by 12: 3840 ÷ 12 : Remainder = 0
  • Divide 3840 by 15: 3840 ÷ 15 : Remainder = 0
  • Divide 3840 by 16: 3840 ÷ 16 : Remainder = 0
  • Divide 3840 by 20: 3840 ÷ 20 : Remainder = 0
  • Divide 3840 by 24: 3840 ÷ 24 : Remainder = 0
  • Divide 3840 by 30: 3840 ÷ 30 : Remainder = 0
  • Divide 3840 by 32: 3840 ÷ 32 : Remainder = 0
  • Divide 3840 by 40: 3840 ÷ 40 : Remainder = 0
  • Divide 3840 by 48: 3840 ÷ 48 : Remainder = 0
  • Divide 3840 by 60: 3840 ÷ 60 : Remainder = 0
  • Divide 3840 by 64: 3840 ÷ 64 : Remainder = 0
  • Divide 3840 by 80: 3840 ÷ 80 : Remainder = 0
  • Divide 3840 by 96: 3840 ÷ 96 : Remainder = 0
  • Divide 3840 by 120: 3840 ÷ 120 : Remainder = 0
  • Divide 3840 by 128: 3840 ÷ 128 : Remainder = 0
  • Divide 3840 by 160: 3840 ÷ 160 : Remainder = 0
  • Divide 3840 by 192: 3840 ÷ 192 : Remainder = 0
  • Divide 3840 by 240: 3840 ÷ 240 : Remainder = 0
  • Divide 3840 by 256: 3840 ÷ 256 : Remainder = 0
  • Divide 3840 by 320: 3840 ÷ 320 : Remainder = 0
  • Divide 3840 by 384: 3840 ÷ 384 : Remainder = 0
  • Divide 3840 by 480: 3840 ÷ 480 : Remainder = 0
  • Divide 3840 by 640: 3840 ÷ 640 : Remainder = 0
  • Divide 3840 by 768: 3840 ÷ 768 : Remainder = 0
  • Divide 3840 by 960: 3840 ÷ 960 : Remainder = 0
  • Divide 3840 by 1280: 3840 ÷ 1280 : Remainder = 0
  • Divide 3840 by 1920: 3840 ÷ 1920 : Remainder = 0
  • Divide 3840 by 3840: 3840 ÷ 3840 : Remainder = 0

Hence, Factors of 3840 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, 640, 768, 960, 1280, 1920, and 3840

2. Steps to find factors of 3840 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 3840 using the division method, follow these steps:

  • Step 1. Start dividing 3840 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 3840, which is 2. Divide 3840 by 2 to obtain the quotient (1920).
    3840 ÷ 2 = 1920
  • Step 3. Repeat step 1 with the obtained quotient (1920).
    1920 ÷ 2 = 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 3840 is, 3840 = 2 x 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 3840 as shown below:

So, the prime factorization of 3840 is, 3840 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5.

3. Find factors of 3840 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 3840 would be the two numbers which, when multiplied, give 3840 as the result.

The following table represents the calculation of factors of 3840 in pairs:

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

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 3840. They are called negative pair factors.

Hence, the negative pairs of 3840 would be ( -1 , -3840 ) , ( -2 , -1920 ) , ( -3 , -1280 ) , ( -4 , -960 ) , ( -5 , -768 ) , ( -6 , -640 ) , ( -8 , -480 ) , ( -10 , -384 ) , ( -12 , -320 ) , ( -15 , -256 ) , ( -16 , -240 ) , ( -20 , -192 ) , ( -24 , -160 ) , ( -30 , -128 ) , ( -32 , -120 ) , ( -40 , -96 ) , ( -48 , -80 ) and ( -60 , -64 ) .

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. 3840 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 3840.
  • Every number is a factor of zero (0), since 3840 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, 640, 768, 960, 1280, 1920, 3840 are exact divisors of 3840.
  • Factors of 3840 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, 640, 768, 960, 1280, 1920, 3840. Each factor divides 3840 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, 640, 768, 960, 1280, 1920, 3840 are all less than or equal to 3840.

Frequently Asked Questions

  • How do you find factors of a negative number? ( eg. -3840 )?

    Factors of -3840 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, -640, -768, -960, -1280, -1920, -3840.

  • What is the sum of all factors of 3840?

    The sum of all factors of 3840 is 12264.

  • What is prime factorization of 3840?

    Prime factorization of 3840 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5.

  • What are the pair factors of 3840?

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

  • What are six multiples of 3840?

    First five multiples of 3840 are 7680, 11520, 15360, 19200, 23040, 26880.

  • Is 3840 a whole number?

    Yes 3840 is a whole number.

  • Which is the smallest prime factor of 3840?

    Smallest prime factor of 3840 is 2.

  • What are five multiples of 3840?

    First five multiples of 3840 are 7680, 11520, 15360, 19200, 23040.

  • Write all factors of 3840?

    Factors of 3840 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, 640, 768, 960, 1280, 1920, 3840.

Examples of Factors

Joey wants to write all the prime factors of 3840 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 3840 are 2, 2, 2, 2, 2, 2, 2, 2, 3, 5.
So in exponential form it can be written as 28 x 3 x 5.

How many factors are there for 3840?

Factors of 3840 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, 640, 768, 960, 1280, 1920, 3840.
So there are in total 36 factors.

Kevin has been asked to write 35 factor(s) of 3840. Can you predict the answer?

35 factor(s) of 3840 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, 640, 768, 960, 1280, 1920.

Sammy is puzzled while calculating the prime factors of 3840. Can you help him find them?

Factors of 3840 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, 640, 768, 960, 1280, 1920, 3840.
Prime factors of 3840 are 2, 2, 2, 2, 2, 2, 2, 2, 3, 5

What is prime factorization of 3840?

Prime factorization of 3840 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 = 28 x 3 x 5.

Ariel has been assigned the task to find the product of all the prime factors of 3840. Can you help her?

Prime factors of 3840 are 2, 2, 2, 2, 2, 2, 2, 2, 3, 5.
Hence, the product of prime factors of 30.

Can you help Rubel to find out the product of the even factors of 3840?

Factors of 3840 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, 640, 768, 960, 1280, 1920, 3840.
Even factors of 3840 are 2, 4, 6, 8, 10, 12, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920, 3840.
Hence, product of even factors of 3840 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 256 x 320 x 384 x 480 x 640 x 768 x 960 x 1280 x 1920 x 3840 = 1.4648040110065268e+62.