179 LearnersLast updated on May 26th, 2025
Factors of 178
What's your say about the factors of 178? Factors are essentially numbers that can be multiplied together to give an original number. In other words, finding those perfect pairs that go into making 178 without leaving remainders.
What are the factors of 178?
Similarly, as we learned above, factors of 178 are such numbers that will be multiplied to get 178. There are both positive and negative factors of numbers that we will learn as we move ahead in the topic.
178 has only four factors: 1, 2, 89, and 178.
Negative factors of 178: Negative factors are nothing but the negative counterparts of the position factors of a number.
Since 178 has 4 positive factors: 1, 2, 89, and 178, it will also have four negative counterparts, which are -1, -2, -89, and -178.
Prime factors of 178: Since 178 is a composite number, it has 2 and 89 as its prime factor.
Prime factorization of 178: Prime factorization of a number is the method of expressing 178 as a product of prime factors.
The prime factorization of 178 = 2 × 89
How to find the factors of 178
There are several ways of finding factors of 178. We will learn about them one by one as we go on.
Finding factors using multiplication
In this method, we will try to find such a pair of numbers that will give 178 as their product. We recommend that you should follow the following steps to find factors using multiplication.
Step 1: Always look for a pair of numbers whose product is 178.
Step 2: After finding such pairs, list them all one by one.
Here, factor pairs of 178 are (1, 178), (2, 89)
So the factors of 178 are 1, 2, 89, and 178.
Finding factors by division method
In the method, we need to find such numbers that divide 178 completely without leaving any remainder.
178/1 = 178
178/ 2 = 89
178/ 89 = 2
178/ 178 = 1
All the 4 numbers: 1, 2, 89, and 178 mentioned above divide 178 completely without any remainder. Hence, they are factors of 178.
Prime Factors and Prime Factorization
In the prime factorization method, a number is expressed as the product of prime factors.
Here, as we know, 178 = 2 × 89
2 and 89 are the prime factors when multiplied together will give 178 as a product of the multiplication.
Factor tree
A factor tree is a graphical representation of factors of any number. In the diagram, each branch represents the prime factors a number has.
Factor Pairs
The factor pairs of a number refer to a pair of numbers which, when multiplied, will give the number as a product.
The factor pairs of 178 are (1, 178) and (2, 89)
Positive Pair Factors of 178 are (1, 178) and (2, 89)
Negative Pair Factors of 178 are (-1, -178) and (- 2, - 89)
Common Mistakes and How to Avoid Them in Factors Of 178
There are some errors that a child is bound to commit while discovering the factors of 178. Let us know what error a child is likely to commit.
Mistake 1
A child might consider only the prime factors and leave other factors.
A child must know that a number has both prime and composite factors.
Factors of 178 examples
Problem 1
Can you check if 178 is divisible by 3, 6, and, 10?
178 is not divisible by 3, 6, and 10.
Explanation
We need to check the divisibility of 3, 6, and 10 individually. 178 is not divisible by 3 because the sum of the digits is not divisible by 3. Since, the number is not divisible by 3, it will not be also divisible by 6 and as the number does not end in a zero, it will not be also divisible by 10.
Problem 2
If you multiply 6 with every prime factor of 178 and add with each other, then what is the product?
396 will be the product of the problem
Explanation
We need to multiply 6 with 2 and 89 to get 384 and 12. Then we will add them to get 396.
Problem 3
What is the average of the prime factors of 178?
45.5 is the average of the prime factors of 178.
Explanation
We need to add 89 and 2 and then divide the sum by 2.
Problem 4
Can you calculate the sum of squares of the prime factors of 178?
The sum of squares of the prime factors of 178 is 7925.
Explanation
We know that, 892 = 7921 and 22=4. So, if we add both we will get 7925.
Problem 5
Find out the ratio of the largest factor to 89.
1 is the ratio of the largest factor 178 to 89.
Explanation
If we divide 178 by 89, we will get 2. 2 can be written as 2:1.
FAQs on factors of 178
1.What is 122 out of 178 in percentage?
2.Mention the smallest perfect number.
3. Is -2 an even or odd number?
4.Who is known as the “Father of the numbers”?
5.Can you consider 0 as the integer?
6.How can children in Qatar use numbers in everyday life to understand Factors of 178 ?
7.What are some fun ways kids in Qatar can practice Factors of 178 with numbers?
8.What role do numbers and Factors of 178 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 178 skills?
Important Glossaries for Factors of 178
- Prime Numbers: Those numbers which have no other factors other than 1 & the number itself.
- Composite Numbers: Those numbers that have more than 2 factors.
- Negative Factors: These are the counterparts of the positive factors of a number.
- Prime Factorization: Process of breaking down a composite number into products of several of its prime factors.
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About BrightChamps in Qatar
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.
