# Factors of 49 in pair

Factors of 49 in pair are (1, 49) , (7, 7)

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

 1.   Steps to find factors of 49 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 49 in pair

Factor Pair Pair Factorization
1 and 49 1 x 49 = 49
7 and 7 7 x 7 = 49

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 49. They are called negative pair factors.

Hence, the negative pairs of 49 would be ( -1 , -49 ) .

#### 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 49 are 1 , 7 , 49. So, factors of 49 in pair are (1,49), (7,7).

#### 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 factor of a number is an exact divisor of that number, example 1, 7, 49 are exact divisors of 49.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 49 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 49.

#### Steps to find Factors of 49

• Step 1. Find all the numbers that would divide 49 without leaving any remainder. Starting with the number 1 upto 24 (half of 49). The number 1 and the number itself are always factors of the given number.
49 ÷ 1 : Remainder = 0
49 ÷ 7 : Remainder = 0
49 ÷ 49 : Remainder = 0

Hence, Factors of 49 are 1, 7, and 49

• Is there any even prime factor of 49?

No there is no even prime factor, i.e. 2, of 49.

• What is the mean of all prime factors of 49?

Factors of 49 are 1 , 7 , 49. Prime factors of 49 are 7 , 7. Therefore mean of prime factors of 49 is (7 + 7) / 2 = 7.00.

• What is the mean of factors of 49?

Factors of 49 are 1 , 7 , 49. therefore mean of factors of 49 is (1 + 7 + 49) / 3 = 19.00.

• 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 49 blocks in order to form a rectangle in all possible ways? For arranging 49 blocks in order to form a rectangle in all possible ways we need to find factors of 49 in pair.

Factors of 49 are 1, 7, 49. So, factors of 49 in pair are (1,49), (7,7).

How many total number of factors of 49 in pair are possible?

Factors of 49 are 1, 7, 49. Hence, the factors of 49 in pair are (1,49), (7,7). Therefore, in total 2 pairs of factors are possible.

Sammy wants to write all the negative factors of 49 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 49 are -1, -7, -49. Hence, factors of 49 in pair are (-1,-49), (-7,-7).

Find the product of all prime factors of 49.

Factors of 49 are 1, 7, 49. Prime factors are 7, 7. So, the product of all prime factors of 49 would be 7 x 7 = 49.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 49.
- Writing all prime factors of 49.
- Writing all the possible factors of 49 in pair.
Help him in writing all these.

Positive factors of 49 are 1, 7, 49.
Prime factors of 49 are 7, 7.
Factors of 49 in pair are (1,49), (7,7).

Can you help Sammy list the factors of 49 and also find the factor pairs?

Factors of 49 are 1, 7, 49.
Factors of 49 in pair are (1,49), (7,7).

Help Diji in finding factors of 49 by Prime Factorization method and then sorting factors of 49 in pairs.

Prime factorization of 49 is 7 x 7. Factors of 49 in pair can be written as (1,49), (7,7).

Write the smallest prime factor of 49.

Smallest prime factor of 49 is 7.