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283 LearnersLast updated on December 10th, 2024
Factors of 154
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, 154. Do you know, factors form the basic approach to solve some general mathematical procedures? This article will give you the insights of factors of 154.
Finding the Square Root of 250
We can find the square root of a number by using methods like: Prime Factorization; Long Division method; Approximation method and Subtraction method:
How to Find the Factors of 154
For finding factors of 154, 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 154. Let us find the pairs which, on multiplication, yields 154.
1×154=154
2×77=154
7×22=154
11×14=154
So, factors of 154 are: 1,2,7,11,14,22,77, and 154.
Finding Factors using Division Method
The division method finds the factors that evenly divides the given number 154. In this process, we have to divide 154 by all possible natural numbers less than 154 and check.
1,2,7,11,14,22,77, and 154 are the only factors that the number 154 has. So to verify the factors of 154 using the division method, we just need to divide 154 by each factor.
154/1 =154
154/2=77
154/7=22
154/11=14
154/14=11
154/22=7
154/77=2
154/154=1
Prime Factors and Prime Factorization
Prime Factorization is the easiest process to find prime factors. It decomposes 154 into a product of its prime integers.
Prime Factors of 154: 2,7,11.
Prime Factorization of 154: 2×7×11
Factor tree:
The number 154 is written on top and two branches are extended.
Fill in those branches with a factor pair of the number above, i.e., 154.
Continue this process until each branch ends with a prime factor (number).
The first two branches of the factor tree of 154 are 2 and 77, then proceeding to 77, we get 7 and 11. So, now the factor tree for 154 is achieved.
Factor Pairs
Positive pair factors: (1,154), (2,77), (7,22), (11,14).
Negative pair factors: (-1,-154), (-2,-77), (-7,-22), (-11,-14).
Common Mistakes and How to Avoid Them in Factors of 154
Factors of 154 Examples
Problem 1
Find the GCF of 154 and 160
Explanation
Problem 2
Find the LCM of 154 and 77
Explanation
Problem 3
The area of a rectangle is 154 square units. If the length is 77 units, then what is the measure of its width?
Explanation
Problem 4
Find the smallest number that is divisible by 2,7,11,77.
Explanation
Problem 5
What is the sum of the factors of 77 and 154?
Explanation
FAQs on Factors of 154
1.How to make 154 in multiplication?
2.What are all 155 factors?
3.List down all the 159 factors?
4.Is prime factorization possible for 154?
5.What are 153 factors?
Important Glossaries for Factors of 154
- 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.
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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.
