# Factors of 343 in pair

Factors of 343 in pair are (1, 343) , (7, 49)

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

 1.   Steps to find factors of 343 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 343 in pair

Factor Pair Pair Factorization
1 and 343 1 x 343 = 343
7 and 49 7 x 49 = 343

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 343. They are called negative pair factors.

Hence, the negative pairs of 343 would be ( -1 , -343 ) .

#### 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 343 are 1 , 7 , 49 , 343. So, factors of 343 in pair are (1,343), (7,49).

#### 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 343 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, 7, 49, 343 are exact divisors of 343.
• Factors of 343 are 1, 7, 49, 343. Each factor divides 343 without leaving a remainder.

#### Steps to find Factors of 343

• Step 1. Find all the numbers that would divide 343 without leaving any remainder. Starting with the number 1 upto 171 (half of 343). The number 1 and the number itself are always factors of the given number.
343 ÷ 1 : Remainder = 0
343 ÷ 7 : Remainder = 0
343 ÷ 49 : Remainder = 0
343 ÷ 343 : Remainder = 0

Hence, Factors of 343 are 1, 7, 49, and 343

• Is there any even prime factor of 343?

No there is no even prime factor, i.e. 2, of 343.

• What is the mean of all prime factors of 343?

Factors of 343 are 1 , 7 , 49 , 343. Prime factors of 343 are 7 , 7 , 7. Therefore mean of prime factors of 343 is (7 + 7 + 7) / 3 = 7.00.

• What is the mean of factors of 343?

Factors of 343 are 1 , 7 , 49 , 343. therefore mean of factors of 343 is (1 + 7 + 49 + 343) / 4 = 100.00.

• 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.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

How many total number of factors of 343 in pair are possible?

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

Help Deep in writing the positive factors of 343 in pair and negative factor of 343 in pair.

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

Find the product of all factors of 343.

Factors of 343 are 1, 7, 49, 343. So the product of all factors of 343 would be 1 x 7 x 49 x 343 = 117649.

Find the product of all prime factors of 343.

Factors of 343 are 1, 7, 49, 343. Prime factors are 7, 7, 7. So, the product of all prime factors of 343 would be 7 x 7 x 7 = 343.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 343.
- Writing all prime factors of 343.
- Writing all the possible factors of 343 in pair.
Help him in writing all these.

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

What are the pair factors of 343?

Factors of 343 are 1, 7, 49, 343. Hence, the factors of 343 in pair are (1,343), (7,49).

Can you help Sammy list the factors of 343 and also find the factor pairs?

Factors of 343 are 1, 7, 49, 343.
Factors of 343 in pair are (1,343), (7,49).

Sammy has 343 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 343 blocks in all possible ways to form a rectangle, we need to calculate factors of 343 in pair. Therefore, factors of 343 in pair are (1,343), (7,49)