# Factors of 64 in pair

Factors of 64 in pair are (1, 64) , (2, 32) , (4, 16) and (8, 8)

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

 1.   Steps to find factors of 64 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 64 in pair

Factor Pair Pair Factorization
1 and 64 1 x 64 = 64
2 and 32 2 x 32 = 64
4 and 16 4 x 16 = 64
8 and 8 8 x 8 = 64

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 64. They are called negative pair factors.

Hence, the negative pairs of 64 would be ( -1 , -64 ) .

#### 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 64 are 1 , 2 , 4 , 8 , 16 , 32 , 64. So, factors of 64 in pair are (1,64), (2,32), (4,16), (8,8).

#### 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. 64 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 64.
• Every number is a factor of zero (0), since 64 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, 2, 4, 8, 16, 32, 64 are exact divisors of 64.
• Factors of 64 are 1, 2, 4, 8, 16, 32, 64. Each factor divides 64 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 16, 32, 64 are all less than or equal to 64.

#### Steps to find Factors of 64

• Step 1. Find all the numbers that would divide 64 without leaving any remainder. Starting with the number 1 upto 32 (half of 64). The number 1 and the number itself are always factors of the given number.
64 ÷ 1 : Remainder = 0
64 ÷ 2 : Remainder = 0
64 ÷ 4 : Remainder = 0
64 ÷ 8 : Remainder = 0
64 ÷ 16 : Remainder = 0
64 ÷ 32 : Remainder = 0
64 ÷ 64 : Remainder = 0

Hence, Factors of 64 are 1, 2, 4, 8, 16, 32, and 64

• Is 64 a composite number?

Yes 64 is a composite number.

• Is 64 a prime number?

No 64 is not a prime number.

• Write five multiples of 64.

Five multiples of 64 are 128, 192, 256, 320, 384.

• Write all odd factors of 64?

The factors of 64 are 1, 2, 4, 8, 16, 32, 64.
Odd factors of 64 are 1.

• What is the mean of all prime factors of 64?

Factors of 64 are 1 , 2 , 4 , 8 , 16 , 32 , 64. Prime factors of 64 are 2 , 2 , 2 , 2 , 2 , 2. Therefore mean of prime factors of 64 is (2 + 2 + 2 + 2 + 2 + 2) / 6 = 2.00.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 64 but she is finding it difficult. Can you help her find out?

Factors of 64 are 1, 2, 4, 8, 16, 32, 64. So, factors of 64 in pair are (1,64), (2,32), (4,16), (8,8).

Sammy wants to write all the negative factors of 64 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 64 are -1, -2, -4, -8, -16, -32, -64. Hence, factors of 64 in pair are (-1,-64), (-2,-32), (-4,-16), (-8,-8).

Help Deep in writing the positive factors of 64 in pair and negative factor of 64 in pair.

Factors of 64 are 1, 2, 4, 8, 16, 32, 64. Positive factors of 64 in pair are (1,64), (2,32), (4,16), (8,8). Negative factors of 64 in pair are (-1,-64), (-2,-32), (-4,-16), (-8,-8).

Find the product of all factors of 64.

Factors of 64 are 1, 2, 4, 8, 16, 32, 64. So the product of all factors of 64 would be 1 x 2 x 4 x 8 x 16 x 32 x 64 = 2097152.

Find the product of all prime factors of 64.

Factors of 64 are 1, 2, 4, 8, 16, 32, 64. Prime factors are 2, 2, 2, 2, 2, 2. So, the product of all prime factors of 64 would be 2 x 2 x 2 x 2 x 2 x 2 = 64.

Can you help Sammy list the factors of 64 and also find the factor pairs?

Factors of 64 are 1, 2, 4, 8, 16, 32, 64.
Factors of 64 in pair are (1,64), (2,32), (4,16), (8,8).

Sammy has 64 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 64 blocks in all possible ways to form a rectangle, we need to calculate factors of 64 in pair. Therefore, factors of 64 in pair are (1,64), (2,32), (4,16), (8,8)