# Factors of 63 in pair

Factors of 63 in pair are (1, 63) , (3, 21) and (7, 9)

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

 1.   Steps to find factors of 63 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 63 in pair

Factor Pair Pair Factorization
1 and 63 1 x 63 = 63
3 and 21 3 x 21 = 63
7 and 9 7 x 9 = 63

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 63. They are called negative pair factors.

Hence, the negative pairs of 63 would be ( -1 , -63 ) .

#### What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 63 are 1 , 3 , 7 , 9 , 21 , 63. So, factors of 63 in pair are (1,63), (3,21), (7,9).

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of Factors

• Every number is a factor of zero (0), since 63 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, 3, 7, 9, 21, 63 are exact divisors of 63.
• Factors of 63 are 1, 3, 7, 9, 21, 63. Each factor divides 63 without leaving a remainder.

#### Steps to find Factors of 63

• Step 1. Find all the numbers that would divide 63 without leaving any remainder. Starting with the number 1 upto 31 (half of 63). The number 1 and the number itself are always factors of the given number.
63 ÷ 1 : Remainder = 0
63 ÷ 3 : Remainder = 0
63 ÷ 7 : Remainder = 0
63 ÷ 9 : Remainder = 0
63 ÷ 21 : Remainder = 0
63 ÷ 63 : Remainder = 0

Hence, Factors of 63 are 1, 3, 7, 9, 21, and 63

• Is 63 a composite number?

Yes 63 is a composite number.

• Is 63 a perfect square?

No 63 is not a perfect square.

• Write all odd factors of 63?

The factors of 63 are 1, 3, 7, 9, 21, 63.
Odd factors of 63 are 1 , 3 , 7 , 9 , 21 , 63.

• What is the mean of all prime factors of 63?

Factors of 63 are 1 , 3 , 7 , 9 , 21 , 63. Prime factors of 63 are 3 , 3 , 7. Therefore mean of prime factors of 63 is (3 + 3 + 7) / 3 = 4.33.

• 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.

#### Examples of Factors

How many total number of factors of 63 in pair are possible?

Factors of 63 are 1, 3, 7, 9, 21, 63. Hence, the factors of 63 in pair are (1,63), (3,21), (7,9). Therefore, in total 3 pairs of factors are possible.

Help Deep in writing the positive factors of 63 in pair and negative factor of 63 in pair.

Factors of 63 are 1, 3, 7, 9, 21, 63. Positive factors of 63 in pair are (1,63), (3,21), (7,9). Negative factors of 63 in pair are (-1,-63), (-3,-21), (-7,-9).

Find the product of all factors of 63.

Factors of 63 are 1, 3, 7, 9, 21, 63. So the product of all factors of 63 would be 1 x 3 x 7 x 9 x 21 x 63 = 250047.

Find the product of all prime factors of 63.

Factors of 63 are 1, 3, 7, 9, 21, 63. Prime factors are 3, 3, 7. So, the product of all prime factors of 63 would be 3 x 3 x 7 = 63.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 63.
- Writing all prime factors of 63.
- Writing all the possible factors of 63 in pair.
Help him in writing all these.

Positive factors of 63 are 1, 3, 7, 9, 21, 63.
Prime factors of 63 are 3, 3, 7.
Factors of 63 in pair are (1,63), (3,21), (7,9).

What are the pair factors of 63?

Factors of 63 are 1, 3, 7, 9, 21, 63. Hence, the factors of 63 in pair are (1,63), (3,21), (7,9).

Can you help Sammy list the factors of 63 and also find the factor pairs?

Factors of 63 are 1, 3, 7, 9, 21, 63.
Factors of 63 in pair are (1,63), (3,21), (7,9).

Sammy has 63 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 63 blocks in all possible ways to form a rectangle, we need to calculate factors of 63 in pair. Therefore, factors of 63 in pair are (1,63), (3,21), (7,9)