Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, and 3960

How to find factors of a number

1. Steps to find factors of 3960 using Division Method

Example: Find factors of 3960

  • Divide 3960 by 1: 3960 ÷ 1 : Remainder = 0
  • Divide 3960 by 2: 3960 ÷ 2 : Remainder = 0
  • Divide 3960 by 3: 3960 ÷ 3 : Remainder = 0
  • Divide 3960 by 4: 3960 ÷ 4 : Remainder = 0
  • Divide 3960 by 5: 3960 ÷ 5 : Remainder = 0
  • Divide 3960 by 6: 3960 ÷ 6 : Remainder = 0
  • Divide 3960 by 8: 3960 ÷ 8 : Remainder = 0
  • Divide 3960 by 9: 3960 ÷ 9 : Remainder = 0
  • Divide 3960 by 10: 3960 ÷ 10 : Remainder = 0
  • Divide 3960 by 11: 3960 ÷ 11 : Remainder = 0
  • Divide 3960 by 12: 3960 ÷ 12 : Remainder = 0
  • Divide 3960 by 15: 3960 ÷ 15 : Remainder = 0
  • Divide 3960 by 18: 3960 ÷ 18 : Remainder = 0
  • Divide 3960 by 20: 3960 ÷ 20 : Remainder = 0
  • Divide 3960 by 22: 3960 ÷ 22 : Remainder = 0
  • Divide 3960 by 24: 3960 ÷ 24 : Remainder = 0
  • Divide 3960 by 30: 3960 ÷ 30 : Remainder = 0
  • Divide 3960 by 33: 3960 ÷ 33 : Remainder = 0
  • Divide 3960 by 36: 3960 ÷ 36 : Remainder = 0
  • Divide 3960 by 40: 3960 ÷ 40 : Remainder = 0
  • Divide 3960 by 44: 3960 ÷ 44 : Remainder = 0
  • Divide 3960 by 45: 3960 ÷ 45 : Remainder = 0
  • Divide 3960 by 55: 3960 ÷ 55 : Remainder = 0
  • Divide 3960 by 60: 3960 ÷ 60 : Remainder = 0
  • Divide 3960 by 66: 3960 ÷ 66 : Remainder = 0
  • Divide 3960 by 72: 3960 ÷ 72 : Remainder = 0
  • Divide 3960 by 88: 3960 ÷ 88 : Remainder = 0
  • Divide 3960 by 90: 3960 ÷ 90 : Remainder = 0
  • Divide 3960 by 99: 3960 ÷ 99 : Remainder = 0
  • Divide 3960 by 110: 3960 ÷ 110 : Remainder = 0
  • Divide 3960 by 120: 3960 ÷ 120 : Remainder = 0
  • Divide 3960 by 132: 3960 ÷ 132 : Remainder = 0
  • Divide 3960 by 165: 3960 ÷ 165 : Remainder = 0
  • Divide 3960 by 180: 3960 ÷ 180 : Remainder = 0
  • Divide 3960 by 198: 3960 ÷ 198 : Remainder = 0
  • Divide 3960 by 220: 3960 ÷ 220 : Remainder = 0
  • Divide 3960 by 264: 3960 ÷ 264 : Remainder = 0
  • Divide 3960 by 330: 3960 ÷ 330 : Remainder = 0
  • Divide 3960 by 360: 3960 ÷ 360 : Remainder = 0
  • Divide 3960 by 396: 3960 ÷ 396 : Remainder = 0
  • Divide 3960 by 440: 3960 ÷ 440 : Remainder = 0
  • Divide 3960 by 495: 3960 ÷ 495 : Remainder = 0
  • Divide 3960 by 660: 3960 ÷ 660 : Remainder = 0
  • Divide 3960 by 792: 3960 ÷ 792 : Remainder = 0
  • Divide 3960 by 990: 3960 ÷ 990 : Remainder = 0
  • Divide 3960 by 1320: 3960 ÷ 1320 : Remainder = 0
  • Divide 3960 by 1980: 3960 ÷ 1980 : Remainder = 0
  • Divide 3960 by 3960: 3960 ÷ 3960 : Remainder = 0

Hence, Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, and 3960

2. Steps to find factors of 3960 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 3960 using the division method, follow these steps:

  • Step 1. Start dividing 3960 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 3960, which is 2. Divide 3960 by 2 to obtain the quotient (1980).
    3960 ÷ 2 = 1980
  • Step 3. Repeat step 1 with the obtained quotient (1980).
    1980 ÷ 2 = 990
    990 ÷ 2 = 495
    495 ÷ 3 = 165
    165 ÷ 3 = 55
    55 ÷ 5 = 11
    11 ÷ 11 = 1

So, the prime factorization of 3960 is, 3960 = 2 x 2 x 2 x 3 x 3 x 5 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 3960 as shown below:

So, the prime factorization of 3960 is, 3960 = 2 x 2 x 2 x 3 x 3 x 5 x 11.

3. Find factors of 3960 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 3960 would be the two numbers which, when multiplied, give 3960 as the result.

The following table represents the calculation of factors of 3960 in pairs:

Factor Pair Pair Factorization
1 and 3960 1 x 3960 = 3960
2 and 1980 2 x 1980 = 3960
3 and 1320 3 x 1320 = 3960
4 and 990 4 x 990 = 3960
5 and 792 5 x 792 = 3960
6 and 660 6 x 660 = 3960
8 and 495 8 x 495 = 3960
9 and 440 9 x 440 = 3960
10 and 396 10 x 396 = 3960
11 and 360 11 x 360 = 3960
12 and 330 12 x 330 = 3960
15 and 264 15 x 264 = 3960
18 and 220 18 x 220 = 3960
20 and 198 20 x 198 = 3960
22 and 180 22 x 180 = 3960
24 and 165 24 x 165 = 3960
30 and 132 30 x 132 = 3960
33 and 120 33 x 120 = 3960
36 and 110 36 x 110 = 3960
40 and 99 40 x 99 = 3960
44 and 90 44 x 90 = 3960
45 and 88 45 x 88 = 3960
55 and 72 55 x 72 = 3960
60 and 66 60 x 66 = 3960

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 3960. They are called negative pair factors.

Hence, the negative pairs of 3960 would be ( -1 , -3960 ) , ( -2 , -1980 ) , ( -3 , -1320 ) , ( -4 , -990 ) , ( -5 , -792 ) , ( -6 , -660 ) , ( -8 , -495 ) , ( -9 , -440 ) , ( -10 , -396 ) , ( -11 , -360 ) , ( -12 , -330 ) , ( -15 , -264 ) , ( -18 , -220 ) , ( -20 , -198 ) , ( -22 , -180 ) , ( -24 , -165 ) , ( -30 , -132 ) , ( -33 , -120 ) , ( -36 , -110 ) , ( -40 , -99 ) , ( -44 , -90 ) , ( -45 , -88 ) , ( -55 , -72 ) and ( -60 , -66 ) .

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. 3960 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 3960.
  • Every number is a factor of zero (0), since 3960 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, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960 are exact divisors of 3960.
  • Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960. Each factor divides 3960 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, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960 are all less than or equal to 3960.

Frequently Asked Questions

  • Which is the smallest prime factor of 3960?

    Smallest prime factor of 3960 is 2.

  • Is 3960 a perfect square?

    No 3960 is not a perfect square.

  • What are five multiples of 3960?

    First five multiples of 3960 are 7920, 11880, 15840, 19800, 23760.

  • What is prime factorization of 3960?

    Prime factorization of 3960 is 2 x 2 x 2 x 3 x 3 x 5 x 11.

  • What are factors of 3960?

    Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960.

  • How do you find factors of a negative number? ( eg. -3960 )?

    Factors of -3960 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -11, -12, -15, -18, -20, -22, -24, -30, -33, -36, -40, -44, -45, -55, -60, -66, -72, -88, -90, -99, -110, -120, -132, -165, -180, -198, -220, -264, -330, -360, -396, -440, -495, -660, -792, -990, -1320, -1980, -3960.

  • Is 3960 a whole number?

    Yes 3960 is a whole number.

  • Which is greatest factor of 3960?

    The greatest factor of 3960 is 1980.

  • What are the prime factors of 3960?

    The factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960.
    Prime factors of 3960 are 2, 2, 2, 3, 3, 5, 11.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 3960. Can you help her?

Prime factors of 3960 are 2, 2, 2, 3, 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 3960?

Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960.
Even factors of 3960 are 2, 4, 6, 8, 10, 12, 18, 20, 22, 24, 30, 36, 40, 44, 60, 66, 72, 88, 90, 110, 120, 132, 180, 198, 220, 264, 330, 360, 396, 440, 660, 792, 990, 1320, 1980, 3960.
Hence, product of even factors of 3960 is; 2 x 4 x 6 x 8 x 10 x 12 x 18 x 20 x 22 x 24 x 30 x 36 x 40 x 44 x 60 x 66 x 72 x 88 x 90 x 110 x 120 x 132 x 180 x 198 x 220 x 264 x 330 x 360 x 396 x 440 x 660 x 792 x 990 x 1320 x 1980 x 3960 = 1.503326346040866e+70.

Joy wants to calculate mean of all the factors of 3960. Help him in finding the mean of 3960.

Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 3960 is 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 11 + 12 + 15 + 18 + 20 + 22 + 24 + 30 + 33 + 36 + 40 + 44 + 45 + 55 + 60 + 66 + 72 + 88 + 90 + 99 + 110 + 120 + 132 + 165 + 180 + 198 + 220 + 264 + 330 + 360 + 396 + 440 + 495 + 660 + 792 + 990 + 1320 + 1980 + 3960 = 14040.
Hence, the mean of factors of 3960 is 14040 ÷ 48 = 292.50.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 3960? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -9, -10, -11, -12, -15, -18, -20, -22, -24, -30, -33, -36, -40, -44, -45, -55, -60, -66, -72, -88, -90, -99, -110, -120, -132, -165, -180, -198, -220, -264, -330, -360, -396, -440, -495, -660, -792, -990, -1320, -1980, -3960.

How many factors are there for 3960?

Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960.
So there are in total 48 factors.

Joey wants to write all the prime factors of 3960 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 3960 are 2, 2, 2, 3, 3, 5, 11.
So in exponential form it can be written as 23 x 32 x 5 x 11.

Kevin has been asked to write 47 factor(s) of 3960. Can you predict the answer?

47 factor(s) of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980.