# Factors of 686 in pair

Factors of 686 in pair are (1, 686) , (2, 343) , (7, 98) and (14, 49)

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

 1.   Steps to find factors of 686 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 686 in pair

Factor Pair Pair Factorization
1 and 686 1 x 686 = 686
2 and 343 2 x 343 = 686
7 and 98 7 x 98 = 686
14 and 49 14 x 49 = 686

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 686. They are called negative pair factors.

Hence, the negative pairs of 686 would be ( -1 , -686 ) .

#### 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 686 are 1 , 2 , 7 , 14 , 49 , 98 , 343 , 686. So, factors of 686 in pair are (1,686), (2,343), (7,98), (14,49).

#### 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. 686 is a factor of itself.
• 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, 7, 14, 49, 98, 343, 686 are exact divisors of 686.
• 1 is a factor of every number. Eg. 1 is a factor of 686.
• Every number is a factor of zero (0), since 686 x 0 = 0.

#### Steps to find Factors of 686

• Step 1. Find all the numbers that would divide 686 without leaving any remainder. Starting with the number 1 upto 343 (half of 686). The number 1 and the number itself are always factors of the given number.
686 ÷ 1 : Remainder = 0
686 ÷ 2 : Remainder = 0
686 ÷ 7 : Remainder = 0
686 ÷ 14 : Remainder = 0
686 ÷ 49 : Remainder = 0
686 ÷ 98 : Remainder = 0
686 ÷ 343 : Remainder = 0
686 ÷ 686 : Remainder = 0

Hence, Factors of 686 are 1, 2, 7, 14, 49, 98, 343, and 686

• Is 686 a composite number?

Yes 686 is a composite number.

• Is 686 a prime number?

No 686 is not a prime number.

• Is 686 a perfect square?

No 686 is not a perfect square.

• Write five multiples of 686.

Five multiples of 686 are 1372, 2058, 2744, 3430, 4116.

• Write all odd factors of 686?

The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686.
Odd factors of 686 are 1 , 7 , 49 , 343.

#### Examples of Factors

Can you help Rubel in arranging 686 blocks in order to form a rectangle in all possible ways? For arranging 686 blocks in order to form a rectangle in all possible ways we need to find factors of 686 in pair.

Factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686. So, factors of 686 in pair are (1,686), (2,343), (7,98), (14,49).

Ariel has been asked to write all factor pairs of 686 but she is finding it difficult. Can you help her find out?

Factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686. So, factors of 686 in pair are (1,686), (2,343), (7,98), (14,49).

How many total number of factors of 686 in pair are possible?

Factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686. Hence, the factors of 686 in pair are (1,686), (2,343), (7,98), (14,49). Therefore, in total 4 pairs of factors are possible.

Sammy wants to write all the negative factors of 686 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 686 are -1, -2, -7, -14, -49, -98, -343, -686. Hence, factors of 686 in pair are (-1,-686), (-2,-343), (-7,-98), (-14,-49).

Help Deep in writing the positive factors of 686 in pair and negative factor of 686 in pair.

Factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686. Positive factors of 686 in pair are (1,686), (2,343), (7,98), (14,49). Negative factors of 686 in pair are (-1,-686), (-2,-343), (-7,-98), (-14,-49).

Find the product of all factors of 686.

Factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686. So the product of all factors of 686 would be 1 x 2 x 7 x 14 x 49 x 98 x 343 x 686 = 221460595216.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 686.
- Writing all prime factors of 686.
- Writing all the possible factors of 686 in pair.
Help him in writing all these.

Positive factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686.
Prime factors of 686 are 2, 7, 7, 7.
Factors of 686 in pair are (1,686), (2,343), (7,98), (14,49).

Can you help Sammy list the factors of 686 and also find the factor pairs?

Factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686.
Factors of 686 in pair are (1,686), (2,343), (7,98), (14,49).