Factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, and 7938

How to find factors of a number

1. Steps to find factors of 7938 using Division Method

Example: Find factors of 7938

  • Divide 7938 by 1: 7938 ÷ 1 : Remainder = 0
  • Divide 7938 by 2: 7938 ÷ 2 : Remainder = 0
  • Divide 7938 by 3: 7938 ÷ 3 : Remainder = 0
  • Divide 7938 by 6: 7938 ÷ 6 : Remainder = 0
  • Divide 7938 by 7: 7938 ÷ 7 : Remainder = 0
  • Divide 7938 by 9: 7938 ÷ 9 : Remainder = 0
  • Divide 7938 by 14: 7938 ÷ 14 : Remainder = 0
  • Divide 7938 by 18: 7938 ÷ 18 : Remainder = 0
  • Divide 7938 by 21: 7938 ÷ 21 : Remainder = 0
  • Divide 7938 by 27: 7938 ÷ 27 : Remainder = 0
  • Divide 7938 by 42: 7938 ÷ 42 : Remainder = 0
  • Divide 7938 by 49: 7938 ÷ 49 : Remainder = 0
  • Divide 7938 by 54: 7938 ÷ 54 : Remainder = 0
  • Divide 7938 by 63: 7938 ÷ 63 : Remainder = 0
  • Divide 7938 by 81: 7938 ÷ 81 : Remainder = 0
  • Divide 7938 by 98: 7938 ÷ 98 : Remainder = 0
  • Divide 7938 by 126: 7938 ÷ 126 : Remainder = 0
  • Divide 7938 by 147: 7938 ÷ 147 : Remainder = 0
  • Divide 7938 by 162: 7938 ÷ 162 : Remainder = 0
  • Divide 7938 by 189: 7938 ÷ 189 : Remainder = 0
  • Divide 7938 by 294: 7938 ÷ 294 : Remainder = 0
  • Divide 7938 by 378: 7938 ÷ 378 : Remainder = 0
  • Divide 7938 by 441: 7938 ÷ 441 : Remainder = 0
  • Divide 7938 by 567: 7938 ÷ 567 : Remainder = 0
  • Divide 7938 by 882: 7938 ÷ 882 : Remainder = 0
  • Divide 7938 by 1134: 7938 ÷ 1134 : Remainder = 0
  • Divide 7938 by 1323: 7938 ÷ 1323 : Remainder = 0
  • Divide 7938 by 2646: 7938 ÷ 2646 : Remainder = 0
  • Divide 7938 by 3969: 7938 ÷ 3969 : Remainder = 0
  • Divide 7938 by 7938: 7938 ÷ 7938 : Remainder = 0

Hence, Factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, and 7938

2. Steps to find factors of 7938 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 7938 using the division method, follow these steps:

  • Step 1. Start dividing 7938 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 7938, which is 2. Divide 7938 by 2 to obtain the quotient (3969).
    7938 ÷ 2 = 3969
  • Step 3. Repeat step 1 with the obtained quotient (3969).
    3969 ÷ 3 = 1323
    1323 ÷ 3 = 441
    441 ÷ 3 = 147
    147 ÷ 3 = 49
    49 ÷ 7 = 7
    7 ÷ 7 = 1

So, the prime factorization of 7938 is, 7938 = 2 x 3 x 3 x 3 x 3 x 7 x 7.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 7938 as shown below:

So, the prime factorization of 7938 is, 7938 = 2 x 3 x 3 x 3 x 3 x 7 x 7.

3. Find factors of 7938 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 7938 would be the two numbers which, when multiplied, give 7938 as the result.

The following table represents the calculation of factors of 7938 in pairs:

Factor Pair Pair Factorization
1 and 7938 1 x 7938 = 7938
2 and 3969 2 x 3969 = 7938
3 and 2646 3 x 2646 = 7938
6 and 1323 6 x 1323 = 7938
7 and 1134 7 x 1134 = 7938
9 and 882 9 x 882 = 7938
14 and 567 14 x 567 = 7938
18 and 441 18 x 441 = 7938
21 and 378 21 x 378 = 7938
27 and 294 27 x 294 = 7938
42 and 189 42 x 189 = 7938
49 and 162 49 x 162 = 7938
54 and 147 54 x 147 = 7938
63 and 126 63 x 126 = 7938
81 and 98 81 x 98 = 7938

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 7938. They are called negative pair factors.

Hence, the negative pairs of 7938 would be ( -1 , -7938 ) , ( -2 , -3969 ) , ( -3 , -2646 ) , ( -6 , -1323 ) , ( -7 , -1134 ) , ( -9 , -882 ) , ( -14 , -567 ) , ( -18 , -441 ) , ( -21 , -378 ) , ( -27 , -294 ) , ( -42 , -189 ) , ( -49 , -162 ) , ( -54 , -147 ) , ( -63 , -126 ) and ( -81 , -98 ) .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 7938 is a factor of itself.
  • 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, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938 are exact divisors of 7938.
  • 1 is a factor of every number. Eg. 1 is a factor of 7938.
  • Every number is a factor of zero (0), since 7938 x 0 = 0.

Frequently Asked Questions

  • Which is the smallest prime factor of 7938?

    Smallest prime factor of 7938 is 2.

  • Is 7938 a perfect square?

    No 7938 is not a perfect square.

  • What are five multiples of 7938?

    First five multiples of 7938 are 15876, 23814, 31752, 39690, 47628.

  • What is prime factorization of 7938?

    Prime factorization of 7938 is 2 x 3 x 3 x 3 x 3 x 7 x 7.

  • What are factors of 7938?

    Factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938.

  • How do you find factors of a negative number? ( eg. -7938 )?

    Factors of -7938 are -1, -2, -3, -6, -7, -9, -14, -18, -21, -27, -42, -49, -54, -63, -81, -98, -126, -147, -162, -189, -294, -378, -441, -567, -882, -1134, -1323, -2646, -3969, -7938.

  • Is 7938 a whole number?

    Yes 7938 is a whole number.

  • Which is greatest factor of 7938?

    The greatest factor of 7938 is 3969.

  • What are the prime factors of 7938?

    The factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938.
    Prime factors of 7938 are 2, 3, 3, 3, 3, 7, 7.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 7938. Can you help her?

Prime factors of 7938 are 2, 3, 3, 3, 3, 7, 7.
Hence, the product of prime factors of 42.

Can you help Rubel to find out the product of the even factors of 7938?

Factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938.
Even factors of 7938 are 2, 6, 14, 18, 42, 54, 98, 126, 162, 294, 378, 882, 1134, 2646, 7938.
Hence, product of even factors of 7938 is; 2 x 6 x 14 x 18 x 42 x 54 x 98 x 126 x 162 x 294 x 378 x 882 x 1134 x 2646 x 7938 = 3.2030091312206496e+31.

Joy wants to calculate mean of all the factors of 7938. Help him in finding the mean of 7938.

Factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 7938 is 1 + 2 + 3 + 6 + 7 + 9 + 14 + 18 + 21 + 27 + 42 + 49 + 54 + 63 + 81 + 98 + 126 + 147 + 162 + 189 + 294 + 378 + 441 + 567 + 882 + 1134 + 1323 + 2646 + 3969 + 7938 = 20691.
Hence, the mean of factors of 7938 is 20691 ÷ 30 = 689.70.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 7938? Help her in writing all the factors.

Positive factors are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938.
Negative factors are -1, -2, -3, -6, -7, -9, -14, -18, -21, -27, -42, -49, -54, -63, -81, -98, -126, -147, -162, -189, -294, -378, -441, -567, -882, -1134, -1323, -2646, -3969, -7938.

How many factors are there for 7938?

Factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938.
So there are in total 30 factors.

Joey wants to write all the prime factors of 7938 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 7938 are 2, 3, 3, 3, 3, 7, 7.
So in exponential form it can be written as 2 x 34 x 72.

Kevin has been asked to write 29 factor(s) of 7938. Can you predict the answer?

29 factor(s) of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969.