# Factors of 1688 in pair

Factors of 1688 in pair are (1, 1688) , (2, 844) , (4, 422) and (8, 211)

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

 1.   Steps to find factors of 1688 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 1688 in pair

Factor Pair Pair Factorization
1 and 1688 1 x 1688 = 1688
2 and 844 2 x 844 = 1688
4 and 422 4 x 422 = 1688
8 and 211 8 x 211 = 1688

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 1688. They are called negative pair factors.

Hence, the negative pairs of 1688 would be ( -1 , -1688 ) .

#### 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 1688 are 1 , 2 , 4 , 8 , 211 , 422 , 844 , 1688. So, factors of 1688 in pair are (1,1688), (2,844), (4,422), (8,211).

#### 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

• Each number is a factor of itself. Eg. 1688 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1688.
• Every number is a factor of zero (0), since 1688 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, 211, 422, 844, 1688 are exact divisors of 1688.
• Factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688. Each factor divides 1688 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 211, 422, 844, 1688 are all less than or equal to 1688.

#### Steps to find Factors of 1688

• Step 1. Find all the numbers that would divide 1688 without leaving any remainder. Starting with the number 1 upto 844 (half of 1688). The number 1 and the number itself are always factors of the given number.
1688 ÷ 1 : Remainder = 0
1688 ÷ 2 : Remainder = 0
1688 ÷ 4 : Remainder = 0
1688 ÷ 8 : Remainder = 0
1688 ÷ 211 : Remainder = 0
1688 ÷ 422 : Remainder = 0
1688 ÷ 844 : Remainder = 0
1688 ÷ 1688 : Remainder = 0

Hence, Factors of 1688 are 1, 2, 4, 8, 211, 422, 844, and 1688

• Is 1688 a composite number?

Yes 1688 is a composite number.

• Is 1688 a prime number?

No 1688 is not a prime number.

• Is 1688 a perfect square?

No 1688 is not a perfect square.

• Write five multiples of 1688.

Five multiples of 1688 are 3376, 5064, 6752, 8440, 10128.

• Write all odd factors of 1688?

The factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688.
Odd factors of 1688 are 1 , 211.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 1688 but she is finding it difficult. Can you help her find out?

Factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688. So, factors of 1688 in pair are (1,1688), (2,844), (4,422), (8,211).

Sammy wants to write all the negative factors of 1688 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1688 are -1, -2, -4, -8, -211, -422, -844, -1688. Hence, factors of 1688 in pair are (-1,-1688), (-2,-844), (-4,-422), (-8,-211).

Help Deep in writing the positive factors of 1688 in pair and negative factor of 1688 in pair.

Factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688. Positive factors of 1688 in pair are (1,1688), (2,844), (4,422), (8,211). Negative factors of 1688 in pair are (-1,-1688), (-2,-844), (-4,-422), (-8,-211).

Find the product of all factors of 1688.

Factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688. So the product of all factors of 1688 would be 1 x 2 x 4 x 8 x 211 x 422 x 844 x 1688 = 8118761230336.

Find the product of all prime factors of 1688.

Factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688. Prime factors are 2, 2, 2, 211. So, the product of all prime factors of 1688 would be 2 x 2 x 2 x 211 = 1688.

Can you help Sammy list the factors of 1688 and also find the factor pairs?

Factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688.
Factors of 1688 in pair are (1,1688), (2,844), (4,422), (8,211).

Sammy has 1688 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 1688 blocks in all possible ways to form a rectangle, we need to calculate factors of 1688 in pair. Therefore, factors of 1688 in pair are (1,1688), (2,844), (4,422), (8,211)