When you shot and find the components of a element number, friend will always get 1 and also that number together its factors. This is the basic rule the a prime number. Let"s take an instance of 73, the number you will examine in this lesson. Factors the 73 are the number which as soon as multiplied in pairs give the product together 73. In this lesson, we will calculate the determinants of 73, prime factors of 73, and factors of 73 in pairs together with solved examples for a better understanding. 

Factors that 73: 1 and 73.

You are watching: What is the prime factorization of 73

Prime Factorization of 73: 1 × 73


1.What are the determinants of 73?
2.How come Calculate determinants of 73?
3.Factors that 73 by prime Factorization
4.Factors of 73 in Pairs
5.FAQs on components of 73

The factor of a number is that number the divides it totally i.e., leave no remainder. Because that example, to uncover the determinants of the number 73, we will need to perform division on 73 and find the number which division 73 completely, leaving no remainders. Since 73 is a prime number for this reason it has only two factors 1 and 73.

The offered diagram provides the representation of the over definition:


If the variety of factors of any kind of number n is odd, then the number n is a perfect square.The factors the a number room only considered come be optimistic factors if not specified.Any number constantly has two factors, 1 and the number itself.The numbers the have more than 2 determinants are called composite numbers.

To calculate the factors of any number, below in this situation 73, we need to uncover all the numbers that would divide 73 without leaving any remainder. Since, 73 is a element number therefore we start with the number 1, and also end v 73. The number 1 and 73 chin would always be a factor of the 73.

Refer come the following table come check department 73 by its factors:

73 ÷ 1 = 73

Remainder = 0

Factor = 1

73 ÷ 73=1

Remainder = 0

Factor = 73

Hence, the factors of 73 are 1 and 73.

Explore factors using illustrations and also interactive examples

We just saw 73 is a element number. It has only 2 factors 1 and the number itself.So the element factorization that the number 73 is created as 1 × 73.

Pair of determinants of number n is the set of 2 numbers which when multiply together gives the number n. Positive factors of 73 are: 1, 73Pair of positive determinants of 73 are: (1, 73)

1 × 73 = 73

Negative determinants of 73 are: -1, -73Pair of negative factors that 73 is (-1, -73).

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-1 × -73 = 73

The adhering to table to represent the calculation of pair components of 73: 

Factor Pair Pair Factorization
 1 and 73

1 × 73 = 73

Example 1 Miss Mary inquiry her student John to calculation the usual factors of 73 and 219. Help John in finding the end the typical factors. 


Factors for 73 space 1, and also 73Factors that 219 are 1, 3, 73 and also 219

Common components of 73 and 219 are 1 and 73

Example 2 Jacob claims that (-1,73) is a element pair the 73, while Diana claims (-1,-73) is a factor pair the 73, that is correct?


To check whether the above pairs are aspect pairs that 73 or no we have to multiply them.

Jacob"s factor pair is (-1, 73)-1 × 73 = -73-73 is no equal to 73Diana"s variable pair is (-1, -73)-1 × -73 = 73 73 is equal come 73