# Factors of 351 in pair

Factors of 351 in pair are (1, 351) , (3, 117) , (9, 39) and (13, 27)

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

 1.   Steps to find factors of 351 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 351 in pair

Factor Pair Pair Factorization
1 and 351 1 x 351 = 351
3 and 117 3 x 117 = 351
9 and 39 9 x 39 = 351
13 and 27 13 x 27 = 351

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 351. They are called negative pair factors.

Hence, the negative pairs of 351 would be ( -1 , -351 ) .

#### 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 351 are 1 , 3 , 9 , 13 , 27 , 39 , 117 , 351. So, factors of 351 in pair are (1,351), (3,117), (9,39), (13,27).

#### 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

• Every number is a factor of zero (0), since 351 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, 3, 9, 13, 27, 39, 117, 351 are exact divisors of 351.
• Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. Each factor divides 351 without leaving a remainder.

#### Steps to find Factors of 351

• Step 1. Find all the numbers that would divide 351 without leaving any remainder. Starting with the number 1 upto 175 (half of 351). The number 1 and the number itself are always factors of the given number.
351 ÷ 1 : Remainder = 0
351 ÷ 3 : Remainder = 0
351 ÷ 9 : Remainder = 0
351 ÷ 13 : Remainder = 0
351 ÷ 27 : Remainder = 0
351 ÷ 39 : Remainder = 0
351 ÷ 117 : Remainder = 0
351 ÷ 351 : Remainder = 0

Hence, Factors of 351 are 1, 3, 9, 13, 27, 39, 117, and 351

• Is 351 a composite number?

Yes 351 is a composite number.

• Is 351 a perfect square?

No 351 is not a perfect square.

• Write all odd factors of 351?

The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351.
Odd factors of 351 are 1 , 3 , 9 , 13 , 27 , 39 , 117 , 351.

• What is the mean of all prime factors of 351?

Factors of 351 are 1 , 3 , 9 , 13 , 27 , 39 , 117 , 351. Prime factors of 351 are 3 , 3 , 3 , 13. Therefore mean of prime factors of 351 is (3 + 3 + 3 + 13) / 4 = 5.50.

• 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

How many total number of factors of 351 in pair are possible?

Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. Hence, the factors of 351 in pair are (1,351), (3,117), (9,39), (13,27). Therefore, in total 4 pairs of factors are possible.

Help Deep in writing the positive factors of 351 in pair and negative factor of 351 in pair.

Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. Positive factors of 351 in pair are (1,351), (3,117), (9,39), (13,27). Negative factors of 351 in pair are (-1,-351), (-3,-117), (-9,-39), (-13,-27).

Find the product of all factors of 351.

Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. So the product of all factors of 351 would be 1 x 3 x 9 x 13 x 27 x 39 x 117 x 351 = 15178486401.

Find the product of all prime factors of 351.

Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. Prime factors are 3, 3, 3, 13. So, the product of all prime factors of 351 would be 3 x 3 x 3 x 13 = 351.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 351.
- Writing all prime factors of 351.
- Writing all the possible factors of 351 in pair.
Help him in writing all these.

Positive factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351.
Prime factors of 351 are 3, 3, 3, 13.
Factors of 351 in pair are (1,351), (3,117), (9,39), (13,27).

What are the pair factors of 351?

Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. Hence, the factors of 351 in pair are (1,351), (3,117), (9,39), (13,27).

Can you help Sammy list the factors of 351 and also find the factor pairs?

Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351.
Factors of 351 in pair are (1,351), (3,117), (9,39), (13,27).

Sammy has 351 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 351 blocks in all possible ways to form a rectangle, we need to calculate factors of 351 in pair. Therefore, factors of 351 in pair are (1,351), (3,117), (9,39), (13,27)