# Factors of 170

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

#### How to find factors of a number

 1.   Find factors of 170 using Division Method 2.   Find factors of 170 using Prime Factorization 3.   Find factors of 170 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 170

• Divide 170 by 1: 170 ÷ 1 : Remainder = 0
• Divide 170 by 2: 170 ÷ 2 : Remainder = 0
• Divide 170 by 5: 170 ÷ 5 : Remainder = 0
• Divide 170 by 10: 170 ÷ 10 : Remainder = 0
• Divide 170 by 17: 170 ÷ 17 : Remainder = 0
• Divide 170 by 34: 170 ÷ 34 : Remainder = 0
• Divide 170 by 85: 170 ÷ 85 : Remainder = 0
• Divide 170 by 170: 170 ÷ 170 : Remainder = 0

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

#### 2. Steps to find factors of 170 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 170 using the division method, follow these steps:

• Step 1. Start dividing 170 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 170, which is 2. Divide 170 by 2 to obtain the quotient (85).
170 ÷ 2 = 85
• Step 3. Repeat step 1 with the obtained quotient (85).
85 ÷ 5 = 17
17 ÷ 17 = 1

So, the prime factorization of 170 is, 170 = 2 x 5 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 170 as shown below:

So, the prime factorization of 170 is, 170 = 2 x 5 x 17.

#### 3. Find factors of 170 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 170 would be the two numbers which, when multiplied, give 170 as the result.

The following table represents the calculation of factors of 170 in pairs:

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 ) , ( -2 , -85 ) , ( -5 , -34 ) and ( -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.

• What is prime factorization of 170?

Prime factorization of 170 is 2 x 5 x 17.

• How do you find factors of a negative number? ( eg. -170 )?

Factors of -170 are -1, -2, -5, -10, -17, -34, -85, -170.

• What are the prime factors of 170?

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

• What are pair factors of 170?

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

• What is the greatest prime factors of 170?

The greatest prime factor of 170 is 17.

• What are six multiples of 170?

First five multiples of 170 are 340, 510, 680, 850, 1020, 1190.

• What are factors of 170?

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

• Which is the smallest prime factor of 170?

Smallest prime factor of 170 is 2.

• Is 170 a whole number?

Yes 170 is a whole number.

#### Examples of Factors

Kevin has been asked to write 7 factor(s) of 170. Can you predict the answer?

7 factor(s) of 170 are 1, 2, 5, 10, 17, 34, 85.

Sammy is puzzled while calculating the prime factors of 170. Can you help him find them?

Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170.
Prime factors of 170 are 2, 5, 17

What is prime factorization of 170?

Prime factorization of 170 is 2 x 5 x 17 = 2 x 5 x 17.

Ariel has been assigned the task to find the product of all the prime factors of 170. Can you help her?

Prime factors of 170 are 2, 5, 17.
Hence, the product of prime factors of 170.

Can you help Rubel to find out the product of the even factors of 170?

Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170.
Even factors of 170 are 2, 10, 34, 170.
Hence, product of even factors of 170 is; 2 x 10 x 34 x 170 = 115600.

Joy wants to calculate mean of all the factors of 170. Help him in finding the mean of 170.

Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 170 is 1 + 2 + 5 + 10 + 17 + 34 + 85 + 170 = 324.
Hence, the mean of factors of 170 is 324 ÷ 8 = 40.50.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 170? Help her in writing all the factors.

Positive factors are 1, 2, 5, 10, 17, 34, 85, 170.
Negative factors are -1, -2, -5, -10, -17, -34, -85, -170.