# Factors of 342 in pair

Factors of 342 in pair are (1, 342) , (2, 171) , (3, 114) , (6, 57) , (9, 38) and (18, 19)

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

 1.   Steps to find factors of 342 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 342 in pair

Factor Pair Pair Factorization
1 and 342 1 x 342 = 342
2 and 171 2 x 171 = 342
3 and 114 3 x 114 = 342
6 and 57 6 x 57 = 342
9 and 38 9 x 38 = 342
18 and 19 18 x 19 = 342

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 342. They are called negative pair factors.

Hence, the negative pairs of 342 would be ( -1 , -342 ) .

#### 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 342 are 1 , 2 , 3 , 6 , 9 , 18 , 19 , 38 , 57 , 114 , 171 , 342. So, factors of 342 in pair are (1,342), (2,171), (3,114), (6,57), (9,38), (18,19).

#### 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. 342 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, 9, 18, 19, 38, 57, 114, 171, 342 are exact divisors of 342.
• 1 is a factor of every number. Eg. 1 is a factor of 342.
• Every number is a factor of zero (0), since 342 x 0 = 0.

#### Steps to find Factors of 342

• Step 1. Find all the numbers that would divide 342 without leaving any remainder. Starting with the number 1 upto 171 (half of 342). The number 1 and the number itself are always factors of the given number.
342 ÷ 1 : Remainder = 0
342 ÷ 2 : Remainder = 0
342 ÷ 3 : Remainder = 0
342 ÷ 6 : Remainder = 0
342 ÷ 9 : Remainder = 0
342 ÷ 18 : Remainder = 0
342 ÷ 19 : Remainder = 0
342 ÷ 38 : Remainder = 0
342 ÷ 57 : Remainder = 0
342 ÷ 114 : Remainder = 0
342 ÷ 171 : Remainder = 0
342 ÷ 342 : Remainder = 0

Hence, Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, and 342

• Is 342 a composite number?

Yes 342 is a composite number.

• Is 342 a prime number?

No 342 is not a prime number.

• What is the mean of factors of 342?

Factors of 342 are 1 , 2 , 3 , 6 , 9 , 18 , 19 , 38 , 57 , 114 , 171 , 342. therefore mean of factors of 342 is (1 + 2 + 3 + 6 + 9 + 18 + 19 + 38 + 57 + 114 + 171 + 342) / 12 = 65.00.

• 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 342 blocks in order to form a rectangle in all possible ways? For arranging 342 blocks in order to form a rectangle in all possible ways we need to find factors of 342 in pair.

Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. So, factors of 342 in pair are (1,342), (2,171), (3,114), (6,57), (9,38), (18,19).

Ariel has been asked to write all factor pairs of 342 but she is finding it difficult. Can you help her find out?

Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. So, factors of 342 in pair are (1,342), (2,171), (3,114), (6,57), (9,38), (18,19).

How many total number of factors of 342 in pair are possible?

Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. Hence, the factors of 342 in pair are (1,342), (2,171), (3,114), (6,57), (9,38), (18,19). Therefore, in total 6 pairs of factors are possible.

Sammy wants to write all the negative factors of 342 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 342 are -1, -2, -3, -6, -9, -18, -19, -38, -57, -114, -171, -342. Hence, factors of 342 in pair are (-1,-342), (-2,-171), (-3,-114), (-6,-57), (-9,-38), (-18,-19).

Help Deep in writing the positive factors of 342 in pair and negative factor of 342 in pair.

Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. Positive factors of 342 in pair are (1,342), (2,171), (3,114), (6,57), (9,38), (18,19). Negative factors of 342 in pair are (-1,-342), (-2,-171), (-3,-114), (-6,-57), (-9,-38), (-18,-19).

Find the product of all factors of 342.

Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. So the product of all factors of 342 would be 1 x 2 x 3 x 6 x 9 x 18 x 19 x 38 x 57 x 114 x 171 x 342 = 1600135042849344.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 342.
- Writing all prime factors of 342.
- Writing all the possible factors of 342 in pair.
Help him in writing all these.

Positive factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342.
Prime factors of 342 are 2, 3, 3, 19.
Factors of 342 in pair are (1,342), (2,171), (3,114), (6,57), (9,38), (18,19).

Can you help Sammy list the factors of 342 and also find the factor pairs?

Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342.
Factors of 342 in pair are (1,342), (2,171), (3,114), (6,57), (9,38), (18,19).