# Factors of 357 in pair

Factors of 357 in pair are (1, 357) , (3, 119) , (7, 51) and (17, 21)

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

 1.   Steps to find factors of 357 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 357 in pair

Factor Pair Pair Factorization
1 and 357 1 x 357 = 357
3 and 119 3 x 119 = 357
7 and 51 7 x 51 = 357
17 and 21 17 x 21 = 357

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 357. They are called negative pair factors.

Hence, the negative pairs of 357 would be ( -1 , -357 ) .

#### How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 357 are 1 , 3 , 7 , 17 , 21 , 51 , 119 , 357. So, factors of 357 in pair are (1,357), (3,119), (7,51), (17,21).

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 7, 17, 21, 51, 119, 357 are exact divisors of 357.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 357 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 357.

#### Steps to find Factors of 357

• Step 1. Find all the numbers that would divide 357 without leaving any remainder. Starting with the number 1 upto 178 (half of 357). The number 1 and the number itself are always factors of the given number.
357 ÷ 1 : Remainder = 0
357 ÷ 3 : Remainder = 0
357 ÷ 7 : Remainder = 0
357 ÷ 17 : Remainder = 0
357 ÷ 21 : Remainder = 0
357 ÷ 51 : Remainder = 0
357 ÷ 119 : Remainder = 0
357 ÷ 357 : Remainder = 0

Hence, Factors of 357 are 1, 3, 7, 17, 21, 51, 119, and 357

• Is 357 a composite number?

Yes 357 is a composite number.

• Is 357 a perfect square?

No 357 is not a perfect square.

• Write all odd factors of 357?

The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357.
Odd factors of 357 are 1 , 3 , 7 , 17 , 21 , 51 , 119 , 357.

• What is the mean of all prime factors of 357?

Factors of 357 are 1 , 3 , 7 , 17 , 21 , 51 , 119 , 357. Prime factors of 357 are 3 , 7 , 17. Therefore mean of prime factors of 357 is (3 + 7 + 17) / 3 = 9.00.

• 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.

#### Examples of Factors

Can you help Rubel in arranging 357 blocks in order to form a rectangle in all possible ways? For arranging 357 blocks in order to form a rectangle in all possible ways we need to find factors of 357 in pair.

Factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357. So, factors of 357 in pair are (1,357), (3,119), (7,51), (17,21).

Ariel has been asked to write all factor pairs of 357 but she is finding it difficult. Can you help her find out?

Factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357. So, factors of 357 in pair are (1,357), (3,119), (7,51), (17,21).

What are the pair factors of 357?

Factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357. Hence, the factors of 357 in pair are (1,357), (3,119), (7,51), (17,21).

Can you help Sammy list the factors of 357 and also find the factor pairs?

Factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357.
Factors of 357 in pair are (1,357), (3,119), (7,51), (17,21).

Help Diji in finding factors of 357 by Prime Factorization method and then sorting factors of 357 in pairs.

Prime factorization of 357 is 3 x 7 x 17. Factors of 357 in pair can be written as (1,357), (3,119), (7,51), (17,21).

Write the smallest prime factor of 357.

Smallest prime factor of 357 is 3.

Write the largest prime factor of 357.

Largest prime factor of 357 is 17.

Diji wants to write all the negative factors of 357. Can you help Diji in doing the same?

Negative factors of 357 are -1, -3, -7, -17, -21, -51, -119, -357.