# Factors of 102 in pair

Factors of 102 in pair are (1, 102) , (2, 51) , (3, 34) and (6, 17)

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

 1.   Steps to find factors of 102 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 102 in pair

Factor Pair Pair Factorization
1 and 102 1 x 102 = 102
2 and 51 2 x 51 = 102
3 and 34 3 x 34 = 102
6 and 17 6 x 17 = 102

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 102. They are called negative pair factors.

Hence, the negative pairs of 102 would be ( -1 , -102 ) .

#### How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 102 are 1 , 2 , 3 , 6 , 17 , 34 , 51 , 102. So, factors of 102 in pair are (1,102), (2,51), (3,34), (6,17).

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 102 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, 17, 34, 51, 102 are exact divisors of 102.
• 1 is a factor of every number. Eg. 1 is a factor of 102.
• Every number is a factor of zero (0), since 102 x 0 = 0.

#### Steps to find Factors of 102

• Step 1. Find all the numbers that would divide 102 without leaving any remainder. Starting with the number 1 upto 51 (half of 102). The number 1 and the number itself are always factors of the given number.
102 ÷ 1 : Remainder = 0
102 ÷ 2 : Remainder = 0
102 ÷ 3 : Remainder = 0
102 ÷ 6 : Remainder = 0
102 ÷ 17 : Remainder = 0
102 ÷ 34 : Remainder = 0
102 ÷ 51 : Remainder = 0
102 ÷ 102 : Remainder = 0

Hence, Factors of 102 are 1, 2, 3, 6, 17, 34, 51, and 102

• Is 102 a composite number?

Yes 102 is a composite number.

• Is 102 a prime number?

No 102 is not a prime number.

• What is the mean of factors of 102?

Factors of 102 are 1 , 2 , 3 , 6 , 17 , 34 , 51 , 102. therefore mean of factors of 102 is (1 + 2 + 3 + 6 + 17 + 34 + 51 + 102) / 8 = 27.00.

• 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 102 blocks in order to form a rectangle in all possible ways? For arranging 102 blocks in order to form a rectangle in all possible ways we need to find factors of 102 in pair.

Factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102. So, factors of 102 in pair are (1,102), (2,51), (3,34), (6,17).

Ariel has been asked to write all factor pairs of 102 but she is finding it difficult. Can you help her find out?

Factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102. So, factors of 102 in pair are (1,102), (2,51), (3,34), (6,17).

How many total number of factors of 102 in pair are possible?

Factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102. Hence, the factors of 102 in pair are (1,102), (2,51), (3,34), (6,17). Therefore, in total 4 pairs of factors are possible.

Sammy wants to write all the negative factors of 102 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 102 are -1, -2, -3, -6, -17, -34, -51, -102. Hence, factors of 102 in pair are (-1,-102), (-2,-51), (-3,-34), (-6,-17).

Help Deep in writing the positive factors of 102 in pair and negative factor of 102 in pair.

Factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102. Positive factors of 102 in pair are (1,102), (2,51), (3,34), (6,17). Negative factors of 102 in pair are (-1,-102), (-2,-51), (-3,-34), (-6,-17).

Find the product of all factors of 102.

Factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102. So the product of all factors of 102 would be 1 x 2 x 3 x 6 x 17 x 34 x 51 x 102 = 108243216.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 102.
- Writing all prime factors of 102.
- Writing all the possible factors of 102 in pair.
Help him in writing all these.

Positive factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102.
Prime factors of 102 are 2, 3, 17.
Factors of 102 in pair are (1,102), (2,51), (3,34), (6,17).

Can you help Sammy list the factors of 102 and also find the factor pairs?

Factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102.
Factors of 102 in pair are (1,102), (2,51), (3,34), (6,17).