Steps to find factors of 73 in pair

Example: Find factors of 73 in pair

Factor Pair Pair Factorization
1 and 73 1 x 73 = 73

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 73. They are called negative pair factors.

Hence, the negative pairs of 73 would be ( -1 , -73 ) , .

What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 73 are 1 , 73. So, factors of 73 in pair are (1,73).

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, 73 are exact divisors of 73.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 73 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 73.

Steps to find Factors of 73

  • Step 1. Find all the numbers that would divide 73 without leaving any remainder. Starting with the number 1 upto 36 (half of 73). The number 1 and the number itself are always factors of the given number.
    73 ÷ 1 : Remainder = 0
    73 ÷ 73 : Remainder = 0

Hence, Factors of 73 are 1 and 73

Frequently Asked Questions

  • Is there any even prime factor of 73?

    No there is no even prime factor, i.e. 2, of 73.

  • What is the mean of all prime factors of 73?

    Factors of 73 are 1 , 73. Prime factors of 73 are 73. Therefore mean of prime factors of 73 is (73) / 1 = 73.00.

  • What is the mean of factors of 73?

    Factors of 73 are 1 , 73. therefore mean of factors of 73 is (1 + 73) / 2 = 37.00.

  • What do you mean by proper divisors?

    A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

  • What do you mean by improper divisors?

    An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Can you help Rubel in arranging 73 blocks in order to form a rectangle in all possible ways? For arranging 73 blocks in order to form a rectangle in all possible ways we need to find factors of 73 in pair.

Factors of 73 are 1, 73. So, factors of 73 in pair are (1,73).

How many total number of factors of 73 in pair are possible?

Factors of 73 are 1, 73. Hence, the factors of 73 in pair are (1,73). Therefore, in total 1 pairs of factors are possible.

Sammy wants to write all the negative factors of 73 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 73 are -1, -73. Hence, factors of 73 in pair are (-1,-73).

Find the product of all prime factors of 73.

Factors of 73 are 1, 73. Prime factors are 73. So, the product of all prime factors of 73 would be 73 = 73.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 73.
- Writing all prime factors of 73.
- Writing all the possible factors of 73 in pair.
Help him in writing all these.

Positive factors of 73 are 1, 73.
Prime factors of 73 are 73.
Factors of 73 in pair are (1,73).

Can you help Sammy list the factors of 73 and also find the factor pairs?

Factors of 73 are 1, 73.
Factors of 73 in pair are (1,73).

Help Diji in finding factors of 73 by Prime Factorization method and then sorting factors of 73 in pairs.

Prime factorization of 73 is 73. Factors of 73 in pair can be written as (1,73).

Write the smallest prime factor of 73.

Smallest prime factor of 73 is 73.