# Factors of 119 in pair

Factors of 119 in pair are (1, 119) , (7, 17)

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

 1.   Steps to find factors of 119 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 119 in pair

Factor Pair Pair Factorization
1 and 119 1 x 119 = 119
7 and 17 7 x 17 = 119

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 119. They are called negative pair factors.

Hence, the negative pairs of 119 would be ( -1 , -119 ) .

#### 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 119 are 1 , 7 , 17 , 119. So, factors of 119 in pair are (1,119), (7,17).

#### 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

• Every number is a factor of zero (0), since 119 x 0 = 0.
• 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, 7, 17, 119 are exact divisors of 119.
• Factors of 119 are 1, 7, 17, 119. Each factor divides 119 without leaving a remainder.

#### Steps to find Factors of 119

• Step 1. Find all the numbers that would divide 119 without leaving any remainder. Starting with the number 1 upto 59 (half of 119). The number 1 and the number itself are always factors of the given number.
119 ÷ 1 : Remainder = 0
119 ÷ 7 : Remainder = 0
119 ÷ 17 : Remainder = 0
119 ÷ 119 : Remainder = 0

Hence, Factors of 119 are 1, 7, 17, and 119

• Is 119 a perfect square?

No 119 is not a perfect square.

• Write five multiples of 119.

Five multiples of 119 are 238, 357, 476, 595, 714.

• Is there any even prime factor of 119?

No there is no even prime factor, i.e. 2, of 119.

• 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

How many total number of factors of 119 in pair are possible?

Factors of 119 are 1, 7, 17, 119. Hence, the factors of 119 in pair are (1,119), (7,17). Therefore, in total 2 pairs of factors are possible.

Help Deep in writing the positive factors of 119 in pair and negative factor of 119 in pair.

Factors of 119 are 1, 7, 17, 119. Positive factors of 119 in pair are (1,119), (7,17). Negative factors of 119 in pair are (-1,-119), (-7,-17).

Find the product of all factors of 119.

Factors of 119 are 1, 7, 17, 119. So the product of all factors of 119 would be 1 x 7 x 17 x 119 = 14161.

Find the product of all prime factors of 119.

Factors of 119 are 1, 7, 17, 119. Prime factors are 7, 17. So, the product of all prime factors of 119 would be 7 x 17 = 119.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 119.
- Writing all prime factors of 119.
- Writing all the possible factors of 119 in pair.
Help him in writing all these.

Positive factors of 119 are 1, 7, 17, 119.
Prime factors of 119 are 7, 17.
Factors of 119 in pair are (1,119), (7,17).

What are the pair factors of 119?

Factors of 119 are 1, 7, 17, 119. Hence, the factors of 119 in pair are (1,119), (7,17).

Can you help Sammy list the factors of 119 and also find the factor pairs?

Factors of 119 are 1, 7, 17, 119.
Factors of 119 in pair are (1,119), (7,17).

Sammy has 119 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 119 blocks in all possible ways to form a rectangle, we need to calculate factors of 119 in pair. Therefore, factors of 119 in pair are (1,119), (7,17)