Table Of Contents
108 LearnersLast updated on December 2nd, 2024
Factors of 170
Factors of any number are the dividers or multipliers that can divide the number fully and can be multiplied together to produce the given product, 170. Do you know, factors form the basic approach to solve some general mathematical procedures? This article will give you the insights of factors of 170.
What are the Factors of 170?
The factors of 170 or the numbers which divide 170 exactly are:
1,2,5,10,17,34,85, and 170.
Negative factors of 170: -1,-2,-5,-10,-17,-34,-85,-170.
Prime factors of 170: 2,5,17
Prime factorization of 170: 2×5×17
The sum of factors of 170: 1+2+5+10+17+34+85+170= 324
How to Find the Factors of 170
For finding factors of 170, we will be learning these below-mentioned methods:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors using Multiplication Methods
This particular method often finds the pair of factors which, on multiplication together, produces 170. Let us find the pairs which, on multiplication, yields 170.
1×170=170
2×85=170
5×34=170
10×17=170
So, factors of 170 are: 1,2,5,10,17,34,85, and 170.
Finding Factors using Division Method
The division method finds the factors that evenly divides the given number 170. In this process, we have to divide 170 by all possible natural numbers less than 170 and check.
1,2,5,10,17,34,85, and 170 are the only factors that the number 170 has. So to verify the factors of 170 using the division method, we just need to divide 170 by each factor.
170/1 =170
170/2=85
170/5=34
170/10=17
170/17=10
170/34=5
170/85=2
170/170=1
Prime Factors and Prime Factorization
Prime Factorization is the easiest process to find prime factors. It decomposes 170 into a product of its prime integers.
Prime Factors of 170: 2,5,17.
Prime Factorization of 170: 2×5×17
Factor tree
The number 170 is written on top and two branches are extended.
Fill in those branches with a factor pair of the number above, i.e., 170.
Continue this process until each branch ends with a prime factor (number).
The first two branches of the factor tree of 170 are 2 and 85, then proceeding to 85, we get 5 and 17. So, now the factor tree for 170 is achieved.
Factor Pairs
Positive pair factors: (1,170), (2,85), (5,34), (10,17).
Negative pair factors: (-1,-170), (-2,-85), (-5,-34), (-10,-17).
Important Glossaries for Factors of 170
- Multipliers - Number which multiplies or a number by which another number is multiplied.
- Dividers - A number that divides.
- Prime Factorization - It involves factoring the number into its prime factors.
- Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.
- Composite numbers - These are numbers having more than two factors.
- Multiple - It is a product of the given number and any other integer.