1. Steps to find factors of 4761 using Division Method

Example: Find factors of 4761

  • Divide 4761 by 1: 4761 ÷ 1 : Remainder = 0
  • Divide 4761 by 3: 4761 ÷ 3 : Remainder = 0
  • Divide 4761 by 9: 4761 ÷ 9 : Remainder = 0
  • Divide 4761 by 23: 4761 ÷ 23 : Remainder = 0
  • Divide 4761 by 69: 4761 ÷ 69 : Remainder = 0
  • Divide 4761 by 207: 4761 ÷ 207 : Remainder = 0
  • Divide 4761 by 529: 4761 ÷ 529 : Remainder = 0
  • Divide 4761 by 1587: 4761 ÷ 1587 : Remainder = 0
  • Divide 4761 by 4761: 4761 ÷ 4761 : Remainder = 0

Hence, Factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, and 4761

2. Steps to find factors of 4761 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 4761 using the division method, follow these steps:

  • Step 1. Start dividing 4761 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 4761, which is 3. Divide 4761 by 3 to obtain the quotient (1587).
    4761 ÷ 3 = 1587
  • Step 3. Repeat step 1 with the obtained quotient (1587).
    1587 ÷ 3 = 529
    529 ÷ 23 = 23
    23 ÷ 23 = 1

So, the prime factorization of 4761 is, 4761 = 3 x 3 x 23 x 23.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 4761 as shown below:

So, the prime factorization of 4761 is, 4761 = 3 x 3 x 23 x 23.

3. Find factors of 4761 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 4761 would be the two numbers which, when multiplied, give 4761 as the result.

The following table represents the calculation of factors of 4761 in pairs:

Factor Pair Pair Factorization
1 and 4761 1 x 4761 = 4761
3 and 1587 3 x 1587 = 4761
9 and 529 9 x 529 = 4761
23 and 207 23 x 207 = 4761
69 and 69 69 x 69 = 4761

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 4761. They are called negative pair factors.

Hence, the negative pairs of 4761 would be ( -1 , -4761 ) , ( -3 , -1587 ) , ( -9 , -529 ) , ( -23 , -207 ) and ( -69 , -69 ) .

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, 3, 9, 23, 69, 207, 529, 1587, 4761 are exact divisors of 4761.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 4761 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 4761.

Frequently Asked Questions

  • Which is the smallest prime factor of 4761?

    Smallest prime factor of 4761 is 3.

  • Is 4761 a perfect square?

    Yes 4761 is a perfect square.

  • What are five multiples of 4761?

    First five multiples of 4761 are 9522, 14283, 19044, 23805, 28566.

  • What is prime factorization of 4761?

    Prime factorization of 4761 is 3 x 3 x 23 x 23.

  • What are factors of 4761?

    Factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, 4761.

  • How do you find factors of a negative number? ( eg. -4761 )?

    Factors of -4761 are -1, -3, -9, -23, -69, -207, -529, -1587, -4761.

  • Is 4761 a whole number?

    Yes 4761 is a whole number.

  • Which is greatest factor of 4761?

    The greatest factor of 4761 is 1587.

  • What are the prime factors of 4761?

    The factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, 4761.
    Prime factors of 4761 are 3, 3, 23, 23.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 4761. Can you help her?

Prime factors of 4761 are 3, 3, 23, 23.
Hence, the product of prime factors of 69.

Can you help Rubel to find out the product of the even factors of 4761?

Factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, 4761.
Even factors of 4761 are 0.
Hence, product of even factors of 4761 is; 0 = 0.

Joy wants to calculate mean of all the factors of 4761. Help him in finding the mean of 4761.

Factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, 4761.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 4761 is 1 + 3 + 9 + 23 + 69 + 207 + 529 + 1587 + 4761 = 7189.
Hence, the mean of factors of 4761 is 7189 ÷ 9 = 798.78.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 4761? Help her in writing all the factors.

Positive factors are 1, 3, 9, 23, 69, 207, 529, 1587, 4761.
Negative factors are -1, -3, -9, -23, -69, -207, -529, -1587, -4761.

How many factors are there for 4761?

Factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, 4761.
So there are in total 9 factors.

Joey wants to write all the prime factors of 4761 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 4761 are 3, 3, 23, 23.
So in exponential form it can be written as 32 x 232.

Kevin has been asked to write 8 factor(s) of 4761. Can you predict the answer?

8 factor(s) of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587.