1. Steps to find factors of 5041 using Division Method

Example: Find factors of 5041

  • Divide 5041 by 1: 5041 ÷ 1 : Remainder = 0
  • Divide 5041 by 71: 5041 ÷ 71 : Remainder = 0
  • Divide 5041 by 5041: 5041 ÷ 5041 : Remainder = 0

Hence, Factors of 5041 are 1, 71, and 5041

2. Steps to find factors of 5041 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 5041 using the division method, follow these steps:

  • Step 1. Start dividing 5041 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 5041, which is 71. Divide 5041 by 71 to obtain the quotient (71).
    5041 ÷ 71 = 71
  • Step 3. Repeat step 1 with the obtained quotient (71).
    71 ÷ 71 = 1

So, the prime factorization of 5041 is, 5041 = 71 x 71.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 5041 as shown below:

So, the prime factorization of 5041 is, 5041 = 71 x 71.

3. Find factors of 5041 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 5041 would be the two numbers which, when multiplied, give 5041 as the result.

The following table represents the calculation of factors of 5041 in pairs:

Factor Pair Pair Factorization
1 and 5041 1 x 5041 = 5041
71 and 71 71 x 71 = 5041

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 5041. They are called negative pair factors.

Hence, the negative pairs of 5041 would be ( -1 , -5041 ) , ( -71 , -71 ) .

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of factors

  • Every factor of a number is an exact divisor of that number, example 1, 71, 5041 are exact divisors of 5041.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 5041 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 5041.

Frequently Asked Questions

  • What are the prime factors of 5041?

    The factors of 5041 are 1, 71, 5041.
    Prime factors of 5041 are 71, 71.

  • What is the sum of all factors of 5041?

    The sum of all factors of 5041 is 5113.

  • What are the pair factors of 5041?

    Pair factors of 5041 are (1,5041), (71,71).

  • What two numbers make 5041?

    Two numbers that make 5041 are 71 and 71.

  • What are multiples of 5041?

    First five multiples of 5041 are 10082, 15123, 20164, 25205.

  • Is 5041 a perfect square?

    Yes 5041 is a perfect square.

  • Which is greatest factor of 5041?

    The greatest factor of 5041 is 71.

  • How do you factors of 5041?

    Factors of 5041 are 1, 71, 5041.

  • What are five multiples of 5041?

    First five multiples of 5041 are 10082, 15123, 20164, 25205, 30246.

Examples of Factors

Can you help Rubel to find out the product of the even factors of 5041?

Factors of 5041 are 1, 71, 5041.
Even factors of 5041 are 0.
Hence, product of even factors of 5041 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 5041? Help her in writing all the factors.

Positive factors are 1, 71, 5041.
Negative factors are -1, -71, -5041.

How many factors are there for 5041?

Factors of 5041 are 1, 71, 5041.
So there are in total 3 factors.

Sammy is puzzled while calculating the prime factors of 5041. Can you help him find them?

Factors of 5041 are 1, 71, 5041.
Prime factors of 5041 are 71, 71

Joey wants to write all the prime factors of 5041 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 5041 are 71, 71.
So in exponential form it can be written as 712.

What is prime factorization of 5041?

Prime factorization of 5041 is 71 x 71 = 712.

Can you help Rubel to find out the product of the even factors of 5041?

Factors of 5041 are 1, 71, 5041.
Even factors of 5041 are 0.
Hence, product of even factors of 5041 is; 0 = 0.