Factors of 78
Factors of 78 are the numbers which, when multiplied in pairs, give the product as 78. These factors can be negative as well. In this lesson, we will calculate the factors of 78, prime factors of 78, and factors of 78 in pairs along with solved examples for a better understanding.
 Factors of 78: 1, 2, 3, 6, 13, 26, 39, and 78
 Prime Factorization of 78: 78 = 2 × 3 × 13
1.  What Are the Factors of 78? 
2.  How to Calculate the Factors of 78? 
3.  Factors of 78 in Pairs 
4.  FAQs on Factors of 78 
What Are the Factors of 78?
Factors of 78 are those numbers that exactly divide it and give the remainder as 0.
For example, 78 ÷ 1 = 78
You get 78 as a quotient and 0 as the remainder. This means that 78 is divisible by 1.
Other factors of 78 are:
 78÷2=39
 78÷3=26
 78÷6=13
How to Calculate the Factors of 78?
We can use different methods to find factors of 78 such as prime factorization and the division method.
In the prime factorization method, we express 78 as a product of its prime factors and in the division method, we see what numbers divide 78 exactly without leaving any remainder.
Factors of 78 by Division Method
These divisions show that the number 78 is exactly divisible by 2, 3, and 6.
Hence, factors of 78 by division method are:
Factors of 78 by Prime Factorization Method
The factors of 78 can be represented by a factor tree method as:
The factors of 78 can be represented by the upsidedown division method as:
Here, 2, 3, and 13 are the prime factors of 78.
Now that we have done the prime factorization of our number, we can multiply them and get the other factors.
Can you try and find out if all the factors are covered or not? And as you might have already guessed, for prime numbers, there are no other factors.
Explore factors using illustrations and interactive examples.
 Factors of 70  The factors of 70 are 1, 2, 5,7,14, 10, 35 and 70
 Factors of 73  The factors of 73 are 1 and 73
 Factors of 74  The factors of 74 are 1, 2, 37 and 74.
 Factors of 75  The factors of 75 are 1, 3, 5, 15, 25 and 75
 Factors of 76  The factors of 76 are 1, 2, 4, 19, 38 and 76
 Factors of 77  The factors of 77 are 1, 7, 11 and 77.
Factors of 78 in Pairs
The pair of numbers which gives 78 when multiplied is known as the pair factor of 78.
 1×78=78
 2×39=78
 3×26=78
 6×13=78
 13×6=78
 26×3=78
 39×2=78
 78×1=78
Therefore, factors of 78 in pair are (1, 78), (2, 39), (3, 26), and (6, 13).
Negative factors pair of 78 are (1, 78), (2, 39), (3, 26), and (6, 13).
Important Notes:
 The numbers which we multiply to get 78 are the factors of 78.
 Factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78.
 Factors of 78 in pairs are (1, 78), (2, 39), (3, 26), and (6, 13).
Factors of 78 Solved Examples

Example 1: Which number on multiplying with 2 gives 78?
Solution:
To find this, we need to divide 78 by (2) = 78 ÷ (2) = 39
39 on multiplying with 2 gives 78
Hence, 2 and 39 are factors of 78. 
Example 2: Help Andy to list the factors of 78 and find the pair factors.
Solution:
Factors of 78 are the numbers that divide 78 exactly without any remainder.
They are:
1, 2, 3, 6, 13, 26, 39, and 78.
Factor pairs are the pairs of two numbers which, when multiplied, give 78.
We know that 1×78 = 782×39=78
3×26=78
6×13=78
13×6=78
26×3=78
39×2=78
78×1=78
Factors of 78 in pair are (1, 78), (2, 39), (3, 26), and (6, 13).
FAQs on Factors of 78
What are the factors of 78?
Factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78.
What are the positive pair factors of 78?
Positive factors of 78 in pair are (1, 78), (2, 39), (3, 26), and (6, 13).
What are the negative pair factors of 78?
Negative factors pair of 78 are: (1, 78), (2, 39), (3, 26), and (6, 13).
What are the positive factors of 78?
The positive factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78.
How many factors of 78 are perfect squares?
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78.
Only 1 is a perfect square.
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