# Factors of 346 in pair

Factors of 346 in pair are (1, 346) , (2, 173)

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

 1.   Steps to find factors of 346 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 346 in pair

Factor Pair Pair Factorization
1 and 346 1 x 346 = 346
2 and 173 2 x 173 = 346

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 346. They are called negative pair factors.

Hence, the negative pairs of 346 would be ( -1 , -346 ) .

#### 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 346 are 1 , 2 , 173 , 346. So, factors of 346 in pair are (1,346), (2,173).

#### 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. 346 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, 173, 346 are exact divisors of 346.
• 1 is a factor of every number. Eg. 1 is a factor of 346.
• Every number is a factor of zero (0), since 346 x 0 = 0.

#### Steps to find Factors of 346

• Step 1. Find all the numbers that would divide 346 without leaving any remainder. Starting with the number 1 upto 173 (half of 346). The number 1 and the number itself are always factors of the given number.
346 ÷ 1 : Remainder = 0
346 ÷ 2 : Remainder = 0
346 ÷ 173 : Remainder = 0
346 ÷ 346 : Remainder = 0

Hence, Factors of 346 are 1, 2, 173, and 346

• Is 346 a composite number?

Yes 346 is a composite number.

• Is 346 a prime number?

No 346 is not a prime number.

• Write five multiples of 346.

Five multiples of 346 are 692, 1038, 1384, 1730, 2076.

• Write all odd factors of 346?

The factors of 346 are 1, 2, 173, 346.
Odd factors of 346 are 1 , 173.

• What is the mean of all prime factors of 346?

Factors of 346 are 1 , 2 , 173 , 346. Prime factors of 346 are 2 , 173. Therefore mean of prime factors of 346 is (2 + 173) / 2 = 87.50.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 346 but she is finding it difficult. Can you help her find out?

Factors of 346 are 1, 2, 173, 346. So, factors of 346 in pair are (1,346), (2,173).

Sammy wants to write all the negative factors of 346 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 346 are -1, -2, -173, -346. Hence, factors of 346 in pair are (-1,-346), (-2,-173).

Help Deep in writing the positive factors of 346 in pair and negative factor of 346 in pair.

Factors of 346 are 1, 2, 173, 346. Positive factors of 346 in pair are (1,346), (2,173). Negative factors of 346 in pair are (-1,-346), (-2,-173).

Find the product of all prime factors of 346.

Factors of 346 are 1, 2, 173, 346. Prime factors are 2, 173. So, the product of all prime factors of 346 would be 2 x 173 = 346.

Can you help Sammy list the factors of 346 and also find the factor pairs?

Factors of 346 are 1, 2, 173, 346.
Factors of 346 in pair are (1,346), (2,173).

Help Diji in finding factors of 346 by Prime Factorization method and then sorting factors of 346 in pairs.

Prime factorization of 346 is 2 x 173. Factors of 346 in pair can be written as (1,346), (2,173).

Write the smallest prime factor of 346.

Smallest prime factor of 346 is 2.

Write the largest prime factor of 346.

Largest prime factor of 346 is 173.