Factors of 78

Factors of 78 are those numbers that can divide 78 perfectly. The factors of 78 are:

1,2,3,6,13,26,39, and 78.

• Negative factors of 78: -1, -2, -3 -6, -13, -26, -39, -78

• Prime factors of 78: 2,3

• Prime factorization of 78: 3×2×13

• The sum of factors of 78: 1+2+3+6+13+26+39+78= 168

For finding factors of 78, we will be learning these below-mentioned methods:

• Multiplication Method

• Division Method

• Prime Factor and Prime Factorization

• Factor Tree
   

This particular method often finds the pair of factors which, on multiplication together, produces 78. Let us find the pairs which, on multiplication, yields 78.

1×78=78

2×39=78

3×26=78

6×13=78

From this, we conclude that, factors of 78 are:1,2,3,6,13,26,39, and 78.
 

The division method finds the numbers that evenly divides the given number 78. To find the factors of 78, we have to divide 78 by all possible natural numbers less than 78 and check.

1,2,3,6,13,26,39,78 are the only factors that the number 78 has. So to verify the factors of 78 using the division method, we just need to divide 78 by each factor.

78/1 =78

78/2 =39

78/3=26

78/6=13

78/13=6

78/26=3

78/39=2

78/78=1

Prime Factorization is the easiest process to find prime factors. It decomposes 78 into a product of its prime integers.

Prime Factors of 78: 2,3.

Prime Factorization of 78: 3×2×13 
 

The number 78 is written on top and two branches are extended.

Fill in those branches with a factor pair of the number above, i.e., 78.

Continue this process until each branch ends with a prime factor (number).

The first two branches of the factor tree of 78 are 2 and 39, then proceeding to 39, we get 3 and 13.   

Factor Pairs

Positive pair factors:   (1,78), (2,39), (3,26), (6,13)

Negative pair factors: (-1,-78), (-2,-39), (-3,-26), (-6,-13). 

• Ratio - Ratio of two numbers compares between them, how many times one number contains the other number. It is expressed as m:n, where m and n are two positive numbers whose ratio is to be shown.

• Factors - These are numbers that divide the given number without leaving any remainder or the remainder as 0.

• Prime Factorization - It involves factoring the number into its prime factors.

• Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.

• Composite numbers - These are numbers having more than two factors.

• Multiple - It is a product of the given number and any other integer.