# Factors of 170 in pair

Factors of 170 in pair are (1, 170) , (2, 85) , (5, 34) and (10, 17)

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

 1.   Steps to find factors of 170 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 170 in pair

Factor Pair Pair Factorization
1 and 170 1 x 170 = 170
2 and 85 2 x 85 = 170
5 and 34 5 x 34 = 170
10 and 17 10 x 17 = 170

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 170. They are called negative pair factors.

Hence, the negative pairs of 170 would be ( -1 , -170 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 170 are 1 , 2 , 5 , 10 , 17 , 34 , 85 , 170. So, factors of 170 in pair are (1,170), (2,85), (5,34), (10,17).

#### What are factors?

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

#### Properties of Factors

• Each number is a factor of itself. Eg. 170 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, 5, 10, 17, 34, 85, 170 are exact divisors of 170.
• 1 is a factor of every number. Eg. 1 is a factor of 170.
• Every number is a factor of zero (0), since 170 x 0 = 0.

#### Steps to find Factors of 170

• Step 1. Find all the numbers that would divide 170 without leaving any remainder. Starting with the number 1 upto 85 (half of 170). The number 1 and the number itself are always factors of the given number.
170 ÷ 1 : Remainder = 0
170 ÷ 2 : Remainder = 0
170 ÷ 5 : Remainder = 0
170 ÷ 10 : Remainder = 0
170 ÷ 17 : Remainder = 0
170 ÷ 34 : Remainder = 0
170 ÷ 85 : Remainder = 0
170 ÷ 170 : Remainder = 0

Hence, Factors of 170 are 1, 2, 5, 10, 17, 34, 85, and 170

• Is 170 a composite number?

Yes 170 is a composite number.

• Is 170 a prime number?

No 170 is not a prime number.

• Is 170 a perfect square?

No 170 is not a perfect square.

• Write five multiples of 170.

Five multiples of 170 are 340, 510, 680, 850, 1020.

• Write all odd factors of 170?

The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170.
Odd factors of 170 are 1 , 5 , 17 , 85.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 170 but she is finding it difficult. Can you help her find out?

Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. So, factors of 170 in pair are (1,170), (2,85), (5,34), (10,17).

Sammy wants to write all the negative factors of 170 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 170 are -1, -2, -5, -10, -17, -34, -85, -170. Hence, factors of 170 in pair are (-1,-170), (-2,-85), (-5,-34), (-10,-17).

Help Deep in writing the positive factors of 170 in pair and negative factor of 170 in pair.

Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. Positive factors of 170 in pair are (1,170), (2,85), (5,34), (10,17). Negative factors of 170 in pair are (-1,-170), (-2,-85), (-5,-34), (-10,-17).

Find the product of all prime factors of 170.

Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. Prime factors are 2, 5, 17. So, the product of all prime factors of 170 would be 2 x 5 x 17 = 170.

Can you help Sammy list the factors of 170 and also find the factor pairs?

Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170.
Factors of 170 in pair are (1,170), (2,85), (5,34), (10,17).

Help Diji in finding factors of 170 by Prime Factorization method and then sorting factors of 170 in pairs.

Prime factorization of 170 is 2 x 5 x 17. Factors of 170 in pair can be written as (1,170), (2,85), (5,34), (10,17).

Write the smallest prime factor of 170.

Smallest prime factor of 170 is 2.

Write the largest prime factor of 170.

Largest prime factor of 170 is 17.