# Factors of 174 in pair

Factors of 174 in pair are (1, 174) , (2, 87) , (3, 58) and (6, 29)

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

 1.   Steps to find factors of 174 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 174 in pair

Factor Pair Pair Factorization
1 and 174 1 x 174 = 174
2 and 87 2 x 87 = 174
3 and 58 3 x 58 = 174
6 and 29 6 x 29 = 174

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 174. They are called negative pair factors.

Hence, the negative pairs of 174 would be ( -1 , -174 ) .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 174 are 1 , 2 , 3 , 6 , 29 , 58 , 87 , 174. So, factors of 174 in pair are (1,174), (2,87), (3,58), (6,29).

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 174 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, 29, 58, 87, 174 are exact divisors of 174.
• 1 is a factor of every number. Eg. 1 is a factor of 174.
• Every number is a factor of zero (0), since 174 x 0 = 0.

#### Steps to find Factors of 174

• Step 1. Find all the numbers that would divide 174 without leaving any remainder. Starting with the number 1 upto 87 (half of 174). The number 1 and the number itself are always factors of the given number.
174 ÷ 1 : Remainder = 0
174 ÷ 2 : Remainder = 0
174 ÷ 3 : Remainder = 0
174 ÷ 6 : Remainder = 0
174 ÷ 29 : Remainder = 0
174 ÷ 58 : Remainder = 0
174 ÷ 87 : Remainder = 0
174 ÷ 174 : Remainder = 0

Hence, Factors of 174 are 1, 2, 3, 6, 29, 58, 87, and 174

• Is 174 a composite number?

Yes 174 is a composite number.

• Is 174 a prime number?

No 174 is not a prime number.

• What is the mean of factors of 174?

Factors of 174 are 1 , 2 , 3 , 6 , 29 , 58 , 87 , 174. therefore mean of factors of 174 is (1 + 2 + 3 + 6 + 29 + 58 + 87 + 174) / 8 = 45.00.

• 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 174 blocks in order to form a rectangle in all possible ways? For arranging 174 blocks in order to form a rectangle in all possible ways we need to find factors of 174 in pair.

Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. So, factors of 174 in pair are (1,174), (2,87), (3,58), (6,29).

Ariel has been asked to write all factor pairs of 174 but she is finding it difficult. Can you help her find out?

Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. So, factors of 174 in pair are (1,174), (2,87), (3,58), (6,29).

How many total number of factors of 174 in pair are possible?

Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. Hence, the factors of 174 in pair are (1,174), (2,87), (3,58), (6,29). Therefore, in total 4 pairs of factors are possible.

Sammy wants to write all the negative factors of 174 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 174 are -1, -2, -3, -6, -29, -58, -87, -174. Hence, factors of 174 in pair are (-1,-174), (-2,-87), (-3,-58), (-6,-29).

Help Deep in writing the positive factors of 174 in pair and negative factor of 174 in pair.

Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. Positive factors of 174 in pair are (1,174), (2,87), (3,58), (6,29). Negative factors of 174 in pair are (-1,-174), (-2,-87), (-3,-58), (-6,-29).

Find the product of all factors of 174.

Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. So the product of all factors of 174 would be 1 x 2 x 3 x 6 x 29 x 58 x 87 x 174 = 916636176.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 174.
- Writing all prime factors of 174.
- Writing all the possible factors of 174 in pair.
Help him in writing all these.

Positive factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174.
Prime factors of 174 are 2, 3, 29.
Factors of 174 in pair are (1,174), (2,87), (3,58), (6,29).

Can you help Sammy list the factors of 174 and also find the factor pairs?

Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174.
Factors of 174 in pair are (1,174), (2,87), (3,58), (6,29).