# Factors of 656 in pair

Factors of 656 in pair are (1, 656) , (2, 328) , (4, 164) , (8, 82) and (16, 41)

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

 1.   Steps to find factors of 656 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 656 in pair

Factor Pair Pair Factorization
1 and 656 1 x 656 = 656
2 and 328 2 x 328 = 656
4 and 164 4 x 164 = 656
8 and 82 8 x 82 = 656
16 and 41 16 x 41 = 656

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 656. They are called negative pair factors.

Hence, the negative pairs of 656 would be ( -1 , -656 ) .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 656 are 1 , 2 , 4 , 8 , 16 , 41 , 82 , 164 , 328 , 656. So, factors of 656 in pair are (1,656), (2,328), (4,164), (8,82), (16,41).

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 656 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 656.
• Every number is a factor of zero (0), since 656 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, 41, 82, 164, 328, 656 are exact divisors of 656.
• Factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656. Each factor divides 656 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 16, 41, 82, 164, 328, 656 are all less than or equal to 656.

#### Steps to find Factors of 656

• Step 1. Find all the numbers that would divide 656 without leaving any remainder. Starting with the number 1 upto 328 (half of 656). The number 1 and the number itself are always factors of the given number.
656 ÷ 1 : Remainder = 0
656 ÷ 2 : Remainder = 0
656 ÷ 4 : Remainder = 0
656 ÷ 8 : Remainder = 0
656 ÷ 16 : Remainder = 0
656 ÷ 41 : Remainder = 0
656 ÷ 82 : Remainder = 0
656 ÷ 164 : Remainder = 0
656 ÷ 328 : Remainder = 0
656 ÷ 656 : Remainder = 0

Hence, Factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, and 656

• Is 656 a composite number?

Yes 656 is a composite number.

• Is 656 a prime number?

No 656 is not a prime number.

• Is 656 a perfect square?

No 656 is not a perfect square.

• Write five multiples of 656.

Five multiples of 656 are 1312, 1968, 2624, 3280, 3936.

• Write all odd factors of 656?

The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656.
Odd factors of 656 are 1 , 41.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 656 but she is finding it difficult. Can you help her find out?

Factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656. So, factors of 656 in pair are (1,656), (2,328), (4,164), (8,82), (16,41).

Sammy wants to write all the negative factors of 656 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 656 are -1, -2, -4, -8, -16, -41, -82, -164, -328, -656. Hence, factors of 656 in pair are (-1,-656), (-2,-328), (-4,-164), (-8,-82), (-16,-41).

Help Deep in writing the positive factors of 656 in pair and negative factor of 656 in pair.

Factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656. Positive factors of 656 in pair are (1,656), (2,328), (4,164), (8,82), (16,41). Negative factors of 656 in pair are (-1,-656), (-2,-328), (-4,-164), (-8,-82), (-16,-41).

Find the product of all factors of 656.

Factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656. So the product of all factors of 656 would be 1 x 2 x 4 x 8 x 16 x 41 x 82 x 164 x 328 x 656 = 121484031819776.

Find the product of all prime factors of 656.

Factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656. Prime factors are 2, 2, 2, 2, 41. So, the product of all prime factors of 656 would be 2 x 2 x 2 x 2 x 41 = 656.

Can you help Sammy list the factors of 656 and also find the factor pairs?

Factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656.
Factors of 656 in pair are (1,656), (2,328), (4,164), (8,82), (16,41).

Sammy has 656 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 656 blocks in all possible ways to form a rectangle, we need to calculate factors of 656 in pair. Therefore, factors of 656 in pair are (1,656), (2,328), (4,164), (8,82), (16,41)