Factors of 147
Factors of 147 are the list of positive and negative whole numbers that can be divided evenly into 147. Today we will see there are a total of 6 factors of 147. In this lesson, we will calculate the factors of 147, its prime factors, its factors in pairs. We will also solve some examples for better understanding.
 Factors of 147: 1, 3, 7, 21, 49, 147
 Negative factors of 147: 1, 3, 7, 21, 49, and 147
 Prime Factorization of 147: 3 × 7 × 7
What are Factors of 147?
 The factor of a number is a number that divides it completely, i.e., it leaves no remainder.
 To find the factors of the number 147, we will have to perform division on 147 and find the numbers which divide 147 completely, leaving no remainders.
 The diagram below provides the representation of the above definition:
Explore factors using illustrations and interactive examples:
 Factors of 36: The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
 Factors of 24: The factors of 24 are1, 2, 3, 4, 6, 8, 12, 24
 Factors of 6: The factors of 6 are 1, 2, 3, 6
 Factors of 180: The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
 Factors of 45: The factors of 36 are 1, 5, 9, 45
How To Calculate Factors of 147?
To calculate the factors of any number, here in this case 147, we need to find all the numbers that would divide 147 without leaving any remainder.
 We start with the number 1, then check for numbers 2, 3, 4, 5, 6, 7, etc. up to 74 (approximately half of 147)
 The number 1 and the number itself would always be a factor of the given number.
Refer to the following table to check the division of 147 by its factors:
Division  Factor 
147 ÷ 1 = 147 
Remainder = 0, therefore Factor = 1 
147 ÷ 3 = 49 
Remainder = 0, therefore Factor = 3 
147 ÷ 7 = 21 
Remainder = 0, therefore Factor = 7 
147 ÷ 21 = 7 
Remainder = 0, therefore Factor = 21 
147 ÷ 49 = 3 
Remainder = 0, therefore Factor = 49 
147 ÷ 147= 1 
Remainder = 0, therefore Factor = 147 
Factors of 147 by Prime Factorization
Prime factorization is to express a composite number as the product of its prime factors.
 We can find by division method or by the factortree method
 We can do the same procedure using the factor tree as shown in the diagram given below:
 So, the prime factorization of 147 is: 147 = 3 × 7 × 7 or 3 × 7^{2}
Multiply the prime factors thus obtained in different ways to obtain all the possible composite factors of the number. Thus, the total factors can be written including both the prime and composite numbers together as, 1, 3, 7, 21, 49, 147.
Factors of 147 in Pairs
Pair factors are the factors of a number given in pairs which, when multiplied together, give that original number. The pair factors of 147 would be the two numbers which, when multiplied together, result in the product 147.
Factor Pair  Pair Factorization 
1 and 147 
1 × 147 = 147 
3 and 49 
3 × 49 = 147 
7 and 21  3 × 49 = 147 
Important Notes
 147 has a total of 6 factors which makes the number a composite number.
 Only composite numbers can have more than two factors
 The negative factor pairs of 147 would be ( 1, 147 ), ( 7, 21) and ( 3, 49)
Challenging Questions
Miley has a collection of two different kinds of postcard stamps. She has 294 stamps of one kind while 147 of the other. She wants to arrange them in a table with an equal number of rows for both. What is the maximum number of rows they can be arranged in?
Factors of 147 Solved Examples

Example 1: Ted is trying to calculate the product of all the factors of 147. Can you help him solve it?
Solution:
We know, the factors of 147 = 1, 3, 7, 21, 49, 147.
Thus, the product of all the factors = 1 × 3 × 7 × 21x 49 × 147 = 3,176,523.

Example 2: Rosa is puzzled while finding all the factor pairs of 147. What will be the total positive factor pairs of 147?
Solution:
We know, factors of 147 = 1, 3, 7, 21, 49, 147. Positive factor pairs = (1, 147), (3, 49), (7, 21)
Hence, total factor pairs of 147 = 3
FAQs on Factors of 147
What are Factors of 147?
The factors of 147 are 1, 3, 7, 49, and 147.
Is 147 a Perfect Square?
We know, 147 = 3 × 7 × 7. Using prime factorization, we see that the square root of 147 cannot be calculated. Thus, 147 is not a perfect square.
What are the Factors of 147 and 36?
Factors of 147 = 1, 3, 7, 21, 49, 147 and the factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36.
What are the Prime Factors of 147?
The prime factors of 147 are 3 and 7.
How to find the Prime Factors of 148?
The prime factors are found by the prime factorization of 148 either by division method or by the factor tree method.
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