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Factors of 170

Factors of 170 are the list of integers that we can split evenly into 170. There are total 8 factors of 170 i.e. 1, 2, 5, 10, 17, 34, 85, 170. The Prime Factors and Pair Factors of 170 are 2 × 5 × 17 and (1, 170), (2, 85), (5, 34), (10, 17) respectively.

All Factors of 170: 1, 2, 5, 10, 17, 34, 85 and 170
Negative Factors of 170: -1, -2, -5, -10, -17, -34, -85 and -170
Prime Factors of 170: 2, 5, 17
Prime Factorization of 170: 2¹ × 5¹ × 17¹
Sum of Factors of 170: 324

1.	What Are the Factors of 170?
2.	Factors of 170 by Prime Factorization
3.	Factors of 170 in Pairs
4.	FAQs on Factors of 170

What are Factors of 170?

Factors of 170 are pairs of those numbers whose products result in 170. These factors are either prime numbers or composite numbers.

How to Find the Factors of 170?

To find the factors of 170, we will have to find the list of numbers that would divide 170 without leaving any remainder.

170/170 = 1; therefore, 170 is a factor of 170.
170/2 = 85; therefore, 2 is a factor of 170.

Similarly we can find other factors. Hence, the factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170.

☛ Also Check:

Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
Factors of 41 - The factors of 41 are 1, 41
Factors of 121 - The factors of 121 are 1, 11, 121
Factors of 4 - The factors of 4 are 1, 2, 4
Factors of 26 - The factors of 26 are 1, 2, 13, 26

Factors of 170 by Prime Factorization

The number 170 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 170. The first step is to divide the number 170 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

170 ÷ 2 = 85

Further dividing 85 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 85 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 170 can be written as 2¹ × 5¹ × 17¹ where 2, 5, 17 are prime.

Factors of 170 in Pairs

Pair factors of 170 are the pairs of numbers that when multiplied give the product 170. The factors of 170 in pairs are:

1 × 170 = (1, 170)
2 × 85 = (2, 85)
5 × 34 = (5, 34)
10 × 17 = (10, 17)

Negative pair factors of 170 are:

-1 × -170 = (-1, -170)
-2 × -85 = (-2, -85)
-5 × -34 = (-5, -34)
-10 × -17 = (-10, -17)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 170 Solved Examples

Example 1: How many factors are there for 170?

Solution:

The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. Therefore, 170 has 8 factors.
Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 170 and 162.

Solution:

The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170 and factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162.

Therefore, the Lowest Common Multiple (LCM) of 170 and 162 is 13770 and Greatest Common Divisor (GCD) of 170 and 162 is 2.
Example 3: Find if 5, 17, 28, 34 and 85 are factors of 170.

Solution:

When we divide 170 by 28 it leaves a remainder. Therefore, the number 28 is not a factor of 170. All numbers except 28 are factors of 170.
Example 4: Find the product of all the prime factors of 170.

Solution:

Since, the prime factors of 170 are 2, 5, 17. Therefore, the product of prime factors = 2 × 5 × 17 = 170.

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FAQs on Factors of 170

What are the Factors of 170?

The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170 and its negative factors are -1, -2, -5, -10, -17, -34, -85, -170.

What is the Sum of all the Factors of 170?

Sum of all factors of 170 = (2^{1 + 1} - 1)/(2 - 1) × (5^{1 + 1} - 1)/(5 - 1) × (17^{1 + 1} - 1)/(17 - 1) = 324

What are Prime Factors of 170?

The prime factors of 170 are 2, 5, 17.

What is the Greatest Common Factor of 170 and 115?

The factors of 170 and 115 are 1, 2, 5, 10, 17, 34, 85, 170 and 1, 5, 23, 115 respectively.

Common factors of 170 and 115 are [1, 5].

Hence, the Greatest Common Factor (GCF) of 170 and 115 is 5.

How Many Factors of 170 are also Factors of 155?

Since, the factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170 and the factors of 155 are 1, 5, 31, 155.
Hence, [1, 5] are the common factors of 170 and 155.

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