# Factors of 78 in pair

Factors of 78 in pair are (1, 78) , (2, 39) , (3, 26) and (6, 13)

#### How to find factors of a number in pair

 1.   Steps to find factors of 78 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 78 in pair

Factor Pair Pair Factorization
1 and 78 1 x 78 = 78
2 and 39 2 x 39 = 78
3 and 26 3 x 26 = 78
6 and 13 6 x 13 = 78

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 78. They are called negative pair factors.

Hence, the negative pairs of 78 would be ( -1 , -78 ) .

#### 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 78 are 1 , 2 , 3 , 6 , 13 , 26 , 39 , 78. So, factors of 78 in pair are (1,78), (2,39), (3,26), (6,13).

#### 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

• Each number is a factor of itself. Eg. 78 is a factor of itself.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 3, 6, 13, 26, 39, 78 are exact divisors of 78.
• 1 is a factor of every number. Eg. 1 is a factor of 78.
• Every number is a factor of zero (0), since 78 x 0 = 0.

#### Steps to find Factors of 78

• Step 1. Find all the numbers that would divide 78 without leaving any remainder. Starting with the number 1 upto 39 (half of 78). The number 1 and the number itself are always factors of the given number.
78 ÷ 1 : Remainder = 0
78 ÷ 2 : Remainder = 0
78 ÷ 3 : Remainder = 0
78 ÷ 6 : Remainder = 0
78 ÷ 13 : Remainder = 0
78 ÷ 26 : Remainder = 0
78 ÷ 39 : Remainder = 0
78 ÷ 78 : Remainder = 0

Hence, Factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78

• Is 78 a composite number?

Yes 78 is a composite number.

• Is 78 a prime number?

No 78 is not a prime number.

• What is the mean of factors of 78?

Factors of 78 are 1 , 2 , 3 , 6 , 13 , 26 , 39 , 78. therefore mean of factors of 78 is (1 + 2 + 3 + 6 + 13 + 26 + 39 + 78) / 8 = 21.00.

• 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 78 blocks in order to form a rectangle in all possible ways? For arranging 78 blocks in order to form a rectangle in all possible ways we need to find factors of 78 in pair.

Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78. So, factors of 78 in pair are (1,78), (2,39), (3,26), (6,13).

Ariel has been asked to write all factor pairs of 78 but she is finding it difficult. Can you help her find out?

Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78. So, factors of 78 in pair are (1,78), (2,39), (3,26), (6,13).

How many total number of factors of 78 in pair are possible?

Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78. Hence, the factors of 78 in pair are (1,78), (2,39), (3,26), (6,13). Therefore, in total 4 pairs of factors are possible.

Sammy wants to write all the negative factors of 78 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 78 are -1, -2, -3, -6, -13, -26, -39, -78. Hence, factors of 78 in pair are (-1,-78), (-2,-39), (-3,-26), (-6,-13).

Help Deep in writing the positive factors of 78 in pair and negative factor of 78 in pair.

Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78. Positive factors of 78 in pair are (1,78), (2,39), (3,26), (6,13). Negative factors of 78 in pair are (-1,-78), (-2,-39), (-3,-26), (-6,-13).

Find the product of all factors of 78.

Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78. So the product of all factors of 78 would be 1 x 2 x 3 x 6 x 13 x 26 x 39 x 78 = 37015056.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 78.
- Writing all prime factors of 78.
- Writing all the possible factors of 78 in pair.
Help him in writing all these.

Positive factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78.
Prime factors of 78 are 2, 3, 13.
Factors of 78 in pair are (1,78), (2,39), (3,26), (6,13).

Can you help Sammy list the factors of 78 and also find the factor pairs?

Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78.
Factors of 78 in pair are (1,78), (2,39), (3,26), (6,13).