1. Steps to find factors of 987 using Division Method

Example: Find factors of 987

  • Divide 987 by 1: 987 ÷ 1 : Remainder = 0
  • Divide 987 by 3: 987 ÷ 3 : Remainder = 0
  • Divide 987 by 7: 987 ÷ 7 : Remainder = 0
  • Divide 987 by 21: 987 ÷ 21 : Remainder = 0
  • Divide 987 by 47: 987 ÷ 47 : Remainder = 0
  • Divide 987 by 141: 987 ÷ 141 : Remainder = 0
  • Divide 987 by 329: 987 ÷ 329 : Remainder = 0
  • Divide 987 by 987: 987 ÷ 987 : Remainder = 0

Hence, Factors of 987 are 1, 3, 7, 21, 47, 141, 329, and 987

2. Steps to find factors of 987 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 987 using the division method, follow these steps:

  • Step 1. Start dividing 987 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 987, which is 3. Divide 987 by 3 to obtain the quotient (329).
    987 ÷ 3 = 329
  • Step 3. Repeat step 1 with the obtained quotient (329).
    329 ÷ 7 = 47
    47 ÷ 47 = 1

So, the prime factorization of 987 is, 987 = 3 x 7 x 47.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 987 as shown below:

So, the prime factorization of 987 is, 987 = 3 x 7 x 47.

3. Find factors of 987 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 987 would be the two numbers which, when multiplied, give 987 as the result.

The following table represents the calculation of factors of 987 in pairs:

Factor Pair Pair Factorization
1 and 987 1 x 987 = 987
3 and 329 3 x 329 = 987
7 and 141 7 x 141 = 987
21 and 47 21 x 47 = 987

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 987. They are called negative pair factors.

Hence, the negative pairs of 987 would be ( -1 , -987 ) , ( -3 , -329 ) , ( -7 , -141 ) and ( -21 , -47 ) .

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of factors

  • Every number is a factor of zero (0), since 987 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, 3, 7, 21, 47, 141, 329, 987 are exact divisors of 987.
  • Factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987. Each factor divides 987 without leaving a remainder.

Frequently Asked Questions

  • How do you find factors of a negative number? ( eg. -987 )?

    Factors of -987 are -1, -3, -7, -21, -47, -141, -329, -987.

  • What is the sum of all factors of 987?

    The sum of all factors of 987 is 1536.

  • What is prime factorization of 987?

    Prime factorization of 987 is 3 x 7 x 47.

  • What are the pair factors of 987?

    Pair factors of 987 are (1,987), (3,329), (7,141), (21,47).

  • What are six multiples of 987?

    First five multiples of 987 are 1974, 2961, 3948, 4935, 5922, 6909.

  • Is 987 a whole number?

    Yes 987 is a whole number.

  • Which is the smallest prime factor of 987?

    Smallest prime factor of 987 is 3.

  • What are five multiples of 987?

    First five multiples of 987 are 1974, 2961, 3948, 4935, 5922.

  • Write all factors of 987?

    Factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987.

Examples of Factors

Joey wants to write all the prime factors of 987 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 987 are 3, 7, 47.
So in exponential form it can be written as 3 x 7 x 47.

How many factors are there for 987?

Factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 987. Can you predict the answer?

7 factor(s) of 987 are 1, 3, 7, 21, 47, 141, 329.

Sammy is puzzled while calculating the prime factors of 987. Can you help him find them?

Factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987.
Prime factors of 987 are 3, 7, 47

What is prime factorization of 987?

Prime factorization of 987 is 3 x 7 x 47 = 3 x 7 x 47.

Ariel has been assigned the task to find the product of all the prime factors of 987. Can you help her?

Prime factors of 987 are 3, 7, 47.
Hence, the product of prime factors of 987.

Can you help Rubel to find out the product of the even factors of 987?

Factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987.
Even factors of 987 are 0.
Hence, product of even factors of 987 is; 0 = 0.