1. Steps to find factors of 273 using Division Method

Example: Find factors of 273

  • Divide 273 by 1: 273 ÷ 1 : Remainder = 0
  • Divide 273 by 3: 273 ÷ 3 : Remainder = 0
  • Divide 273 by 7: 273 ÷ 7 : Remainder = 0
  • Divide 273 by 13: 273 ÷ 13 : Remainder = 0
  • Divide 273 by 21: 273 ÷ 21 : Remainder = 0
  • Divide 273 by 39: 273 ÷ 39 : Remainder = 0
  • Divide 273 by 91: 273 ÷ 91 : Remainder = 0
  • Divide 273 by 273: 273 ÷ 273 : Remainder = 0

Hence, Factors of 273 are 1, 3, 7, 13, 21, 39, 91, and 273

2. Steps to find factors of 273 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 273 using the division method, follow these steps:

  • Step 1. Start dividing 273 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 273, which is 3. Divide 273 by 3 to obtain the quotient (91).
    273 ÷ 3 = 91
  • Step 3. Repeat step 1 with the obtained quotient (91).
    91 ÷ 7 = 13
    13 ÷ 13 = 1

So, the prime factorization of 273 is, 273 = 3 x 7 x 13.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 273 as shown below:

So, the prime factorization of 273 is, 273 = 3 x 7 x 13.

3. Find factors of 273 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 273 would be the two numbers which, when multiplied, give 273 as the result.

The following table represents the calculation of factors of 273 in pairs:

Factor Pair Pair Factorization
1 and 273 1 x 273 = 273
3 and 91 3 x 91 = 273
7 and 39 7 x 39 = 273
13 and 21 13 x 21 = 273

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 273. They are called negative pair factors.

Hence, the negative pairs of 273 would be ( -1 , -273 ) , ( -3 , -91 ) , ( -7 , -39 ) and ( -13 , -21 ) .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

  • Every factor of a number is an exact divisor of that number, example 1, 3, 7, 13, 21, 39, 91, 273 are exact divisors of 273.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 273 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 273.

Frequently Asked Questions

  • What are the prime factors of 273?

    The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273.
    Prime factors of 273 are 3, 7, 13.

  • What two numbers make 273?

    Two numbers that make 273 are 3 and 91.

  • What is the greatest prime factors of 273?

    The greatest prime factor of 273 is 13.

  • What are factors of 273?

    Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273.

  • How do you find factors of a negative number? ( eg. -273 )?

    Factors of -273 are -1, -3, -7, -13, -21, -39, -91, -273.

  • What are five multiples of 273?

    First five multiples of 273 are 546, 819, 1092, 1365, 1638.

  • Write some multiples of 273?

    First five multiples of 273 are 546, 819, 1092, 1365.

  • Is 273 a perfect square?

    No 273 is not a perfect square.

  • What two numbers make 273?

    Two numbers that make 273 are 3 and 91.

Examples of Factors

What is prime factorization of 273?

Prime factorization of 273 is 3 x 7 x 13 = 3 x 7 x 13.

Sammy is puzzled while calculating the prime factors of 273. Can you help him find them?

Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273.
Prime factors of 273 are 3, 7, 13

Kevin has been asked to write 7 factor(s) of 273. Can you predict the answer?

7 factor(s) of 273 are 1, 3, 7, 13, 21, 39, 91.

Joey wants to write all the prime factors of 273 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 273 are 3, 7, 13.
So in exponential form it can be written as 3 x 7 x 13.

How many factors are there for 273?

Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 273? Help her in writing all the factors.

Positive factors are 1, 3, 7, 13, 21, 39, 91, 273.
Negative factors are -1, -3, -7, -13, -21, -39, -91, -273.

Can you help Rubel to find out the product of the even factors of 273?

Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273.
Even factors of 273 are 0.
Hence, product of even factors of 273 is; 0 = 0.