1. Steps to find factors of 1287 using Division Method

Example: Find factors of 1287

  • Divide 1287 by 1: 1287 ÷ 1 : Remainder = 0
  • Divide 1287 by 3: 1287 ÷ 3 : Remainder = 0
  • Divide 1287 by 9: 1287 ÷ 9 : Remainder = 0
  • Divide 1287 by 11: 1287 ÷ 11 : Remainder = 0
  • Divide 1287 by 13: 1287 ÷ 13 : Remainder = 0
  • Divide 1287 by 33: 1287 ÷ 33 : Remainder = 0
  • Divide 1287 by 39: 1287 ÷ 39 : Remainder = 0
  • Divide 1287 by 99: 1287 ÷ 99 : Remainder = 0
  • Divide 1287 by 117: 1287 ÷ 117 : Remainder = 0
  • Divide 1287 by 143: 1287 ÷ 143 : Remainder = 0
  • Divide 1287 by 429: 1287 ÷ 429 : Remainder = 0
  • Divide 1287 by 1287: 1287 ÷ 1287 : Remainder = 0

Hence, Factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, and 1287

2. Steps to find factors of 1287 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 1287 using the division method, follow these steps:

  • Step 1. Start dividing 1287 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 1287, which is 3. Divide 1287 by 3 to obtain the quotient (429).
    1287 ÷ 3 = 429
  • Step 3. Repeat step 1 with the obtained quotient (429).
    429 ÷ 3 = 143
    143 ÷ 11 = 13
    13 ÷ 13 = 1

So, the prime factorization of 1287 is, 1287 = 3 x 3 x 11 x 13.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1287 as shown below:

So, the prime factorization of 1287 is, 1287 = 3 x 3 x 11 x 13.

3. Find factors of 1287 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 1287 would be the two numbers which, when multiplied, give 1287 as the result.

The following table represents the calculation of factors of 1287 in pairs:

Factor Pair Pair Factorization
1 and 1287 1 x 1287 = 1287
3 and 429 3 x 429 = 1287
9 and 143 9 x 143 = 1287
11 and 117 11 x 117 = 1287
13 and 99 13 x 99 = 1287
33 and 39 33 x 39 = 1287

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 1287. They are called negative pair factors.

Hence, the negative pairs of 1287 would be ( -1 , -1287 ) , ( -3 , -429 ) , ( -9 , -143 ) , ( -11 , -117 ) , ( -13 , -99 ) and ( -33 , -39 ) .

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 1287 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, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287 are exact divisors of 1287.
  • Factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287. Each factor divides 1287 without leaving a remainder.

Frequently Asked Questions

  • Which is the smallest prime factor of 1287?

    Smallest prime factor of 1287 is 3.

  • Is 1287 a perfect square?

    No 1287 is not a perfect square.

  • What are five multiples of 1287?

    First five multiples of 1287 are 2574, 3861, 5148, 6435, 7722.

  • What is prime factorization of 1287?

    Prime factorization of 1287 is 3 x 3 x 11 x 13.

  • What are factors of 1287?

    Factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287.

  • How do you find factors of a negative number? ( eg. -1287 )?

    Factors of -1287 are -1, -3, -9, -11, -13, -33, -39, -99, -117, -143, -429, -1287.

  • Is 1287 a whole number?

    Yes 1287 is a whole number.

  • Which is greatest factor of 1287?

    The greatest factor of 1287 is 429.

  • What are the prime factors of 1287?

    The factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287.
    Prime factors of 1287 are 3, 3, 11, 13.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 1287. Can you help her?

Prime factors of 1287 are 3, 3, 11, 13.
Hence, the product of prime factors of 429.

Can you help Rubel to find out the product of the even factors of 1287?

Factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287.
Even factors of 1287 are 0.
Hence, product of even factors of 1287 is; 0 = 0.

Joy wants to calculate mean of all the factors of 1287. Help him in finding the mean of 1287.

Factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1287 is 1 + 3 + 9 + 11 + 13 + 33 + 39 + 99 + 117 + 143 + 429 + 1287 = 2184.
Hence, the mean of factors of 1287 is 2184 ÷ 12 = 182.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1287? Help her in writing all the factors.

Positive factors are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287.
Negative factors are -1, -3, -9, -11, -13, -33, -39, -99, -117, -143, -429, -1287.

How many factors are there for 1287?

Factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287.
So there are in total 12 factors.

Joey wants to write all the prime factors of 1287 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1287 are 3, 3, 11, 13.
So in exponential form it can be written as 32 x 11 x 13.

Kevin has been asked to write 11 factor(s) of 1287. Can you predict the answer?

11 factor(s) of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429.