# Factors of 34 in pair

Factors of 34 in pair are (1, 34) , (2, 17)

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

 1.   Steps to find factors of 34 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 34 in pair

Factor Pair Pair Factorization
1 and 34 1 x 34 = 34
2 and 17 2 x 17 = 34

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 34. They are called negative pair factors.

Hence, the negative pairs of 34 would be ( -1 , -34 ) .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 34 are 1 , 2 , 17 , 34. So, factors of 34 in pair are (1,34), (2,17).

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 34 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, 17, 34 are exact divisors of 34.
• 1 is a factor of every number. Eg. 1 is a factor of 34.
• Every number is a factor of zero (0), since 34 x 0 = 0.

#### Steps to find Factors of 34

• Step 1. Find all the numbers that would divide 34 without leaving any remainder. Starting with the number 1 upto 17 (half of 34). The number 1 and the number itself are always factors of the given number.
34 ÷ 1 : Remainder = 0
34 ÷ 2 : Remainder = 0
34 ÷ 17 : Remainder = 0
34 ÷ 34 : Remainder = 0

Hence, Factors of 34 are 1, 2, 17, and 34

• Is 34 a composite number?

Yes 34 is a composite number.

• Is 34 a prime number?

No 34 is not a prime number.

• Write five multiples of 34.

Five multiples of 34 are 68, 102, 136, 170, 204.

• Write all odd factors of 34?

The factors of 34 are 1, 2, 17, 34.
Odd factors of 34 are 1 , 17.

• What is the mean of all prime factors of 34?

Factors of 34 are 1 , 2 , 17 , 34. Prime factors of 34 are 2 , 17. Therefore mean of prime factors of 34 is (2 + 17) / 2 = 9.50.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 34 but she is finding it difficult. Can you help her find out?

Factors of 34 are 1, 2, 17, 34. So, factors of 34 in pair are (1,34), (2,17).

Sammy wants to write all the negative factors of 34 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 34 are -1, -2, -17, -34. Hence, factors of 34 in pair are (-1,-34), (-2,-17).

Help Deep in writing the positive factors of 34 in pair and negative factor of 34 in pair.

Factors of 34 are 1, 2, 17, 34. Positive factors of 34 in pair are (1,34), (2,17). Negative factors of 34 in pair are (-1,-34), (-2,-17).

Find the product of all prime factors of 34.

Factors of 34 are 1, 2, 17, 34. Prime factors are 2, 17. So, the product of all prime factors of 34 would be 2 x 17 = 34.

Can you help Sammy list the factors of 34 and also find the factor pairs?

Factors of 34 are 1, 2, 17, 34.
Factors of 34 in pair are (1,34), (2,17).

Help Diji in finding factors of 34 by Prime Factorization method and then sorting factors of 34 in pairs.

Prime factorization of 34 is 2 x 17. Factors of 34 in pair can be written as (1,34), (2,17).

Write the smallest prime factor of 34.

Smallest prime factor of 34 is 2.

Write the largest prime factor of 34.

Largest prime factor of 34 is 17.