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137 LearnersLast updated on December 9th, 2024
Factors of 174
Factors are the ‘building blocks’ of a number. They are the numbers that can be multiplied together to reach the number you started with. 174 is an interesting number. It is large enough to make you think, but simple enough to learn if you know a few tricks. Let’s dive into it!
What are the factors of 174?
Factors are whole numbers that, when multiplied, the product is equal to 174.
174 is not a prime number, its factors are 1, 2, 3, 6, 29, 58, 87, 174. For every factor, there is a corresponding negative factor, for 174, the negative factors -1, -2, -3, -6, -29, -58, -87, -174.
How to find the factors of 174?
There are various methods we apply to find the factors of any number. Few of them are listed here; multiplication method, division method, prime factors and prime factorization and factor tree method. These are explained in detail below, let’s learn !
Finding Factors Using Multiplication
Step 1: Find all pairs of numbers whose product is 174.
Step 2: All the pairs found represent the factors of 174.
174 is not a prime number. The pair of numbers whose product is 174 is;
1×174=174
2×87 = 174
3×58=174
6×29 = 174
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174.
Finding Factors by Division Method
Step 1: Start by dividing 174 with the smallest number, and check the remainders.
Step 2: 174 is not prime, therefore the divisors it has are 1, 2, 3, 6, 29, 58, 87, 174. Any number that is further checked for divisibility leaves behind a remainder.
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174.
Prime factors and prime factorization
— 174 is not a prime number.
— The prime factorization of 174 is 2×3×29.
— Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174.
Factor tree
— In this method, we make branches that extend from the number to express a number as the product of its factors.
— In case of 174, branch will be extended as the number is prime factorized as 2×87→ 3×29. 29 is a prime number and cannot be factored further.
Common mistakes and how to avoid them in factors of 174
Factors of 174 Examples
Problem 1
Is 29 a factor of 174?
Explanation
Problem 2
Calculate the sum of all factors of 174.
Explanation
Problem 3
What are the common factors of 174 and 87?
Explanation
FAQs on Factors of 174
1.What could be the GCF of 174?
2. Is 174 a multiple of 7?
3.Is 174 a natural number?
4.Is 174 a perfect square number?
5.What three numbers add up to 174?
Important Glossaries for Factors of 174
- Factors: numbers that divide the given number without leaving a remainder.
- Prime factorization: breaking numbers down into their prime factors.
- Prime factors: Prime numbers that multiply together to form a given number.
- Composite number: Number that has at least more than one divisor other than 1 and the number itself.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
