1. Steps to find factors of 2047 using Division Method

Example: Find factors of 2047

  • Divide 2047 by 1: 2047 ÷ 1 : Remainder = 0
  • Divide 2047 by 23: 2047 ÷ 23 : Remainder = 0
  • Divide 2047 by 89: 2047 ÷ 89 : Remainder = 0
  • Divide 2047 by 2047: 2047 ÷ 2047 : Remainder = 0

Hence, Factors of 2047 are 1, 23, 89, and 2047

2. Steps to find factors of 2047 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 2047 using the division method, follow these steps:

  • Step 1. Start dividing 2047 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 2047, which is 23. Divide 2047 by 23 to obtain the quotient (89).
    2047 ÷ 23 = 89
  • Step 3. Repeat step 1 with the obtained quotient (89).
    89 ÷ 89 = 1

So, the prime factorization of 2047 is, 2047 = 23 x 89.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2047 as shown below:

So, the prime factorization of 2047 is, 2047 = 23 x 89.

3. Find factors of 2047 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 2047 would be the two numbers which, when multiplied, give 2047 as the result.

The following table represents the calculation of factors of 2047 in pairs:

Factor Pair Pair Factorization
1 and 2047 1 x 2047 = 2047
23 and 89 23 x 89 = 2047

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 2047. They are called negative pair factors.

Hence, the negative pairs of 2047 would be ( -1 , -2047 ) , ( -23 , -89 ) .

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 2047 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, 23, 89, 2047 are exact divisors of 2047.
  • Factors of 2047 are 1, 23, 89, 2047. Each factor divides 2047 without leaving a remainder.

Frequently Asked Questions

  • Is 2047 a perfect square?

    No 2047 is not a perfect square.

  • What are factors of 2047?

    Factors of 2047 are 1, 23, 89, 2047.

  • Which is greatest factor of 2047?

    The greatest factor of 2047 is 89.

  • What is the sum of all factors of 2047?

    The sum of all factors of 2047 is 2160.

  • What are multiples of 2047?

    First five multiples of 2047 are 4094, 6141, 8188, 10235.

  • What is the greatest prime factors of 2047?

    The greatest prime factor of 2047 is 89.

  • What are six multiples of 2047?

    First five multiples of 2047 are 4094, 6141, 8188, 10235, 12282, 14329.

  • What is prime factorization of 2047?

    Prime factorization of 2047 is 23 x 89.

  • Is 2047 a whole number?

    Yes 2047 is a whole number.

Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2047? Help her in writing all the factors.

Positive factors are 1, 23, 89, 2047.
Negative factors are -1, -23, -89, -2047.

Can you help Sammy find out the product of the odd factors of 2047?

Factors of 2047 are 1, 23, 89, 2047.
Odd factors of 2047 are 1, 23, 89, 2047.
Hence product of odd factors of 2047 is; 1 x 23 x 89 x 2047 = 4190209.

Joey wants to write all the prime factors of 2047 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2047 are 23, 89.
So in exponential form it can be written as 23 x 89.

How many factors are there for 2047?

Factors of 2047 are 1, 23, 89, 2047.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 2047. Can you predict the answer?

3 factor(s) of 2047 are 1, 23, 89.

Sammy is puzzled while calculating the prime factors of 2047. Can you help him find them?

Factors of 2047 are 1, 23, 89, 2047.
Prime factors of 2047 are 23, 89

What is prime factorization of 2047?

Prime factorization of 2047 is 23 x 89 = 23 x 89.