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249 LearnersLast updated on December 10th, 2024
Factors of 77
Factors of any number are the whole numbers that can divide the number completely. Why are factors important to learn? For mathematical approaches, factors are used in organizing and bringing more efficiency to any task. In this article, let's learn how to solve factors 77 easily.
What are the Factors of 77?
Factors of 77 are those numbers that can divide 77 perfectly. The factors of 77 are:
1,7,11 and 77.
Negative factors of 77: -1, -7, -11, -77.
Prime factors of 77: 7,11
Prime factorization of 77: 7×11
The sum of factors of 77: 1+7+11+77 = 96
How to Find the Factors of 77
For finding factors of 77, 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 77. Let us find the pairs which, on multiplication, yields 77.
1×77=77
7×11=77
From this, we conclude that, factors of 77 are: 1,7,11, and 77.
Finding Factors using Division Method
The division method finds the numbers that evenly divides the given number 77. To find the factors of 77, we have to divide 77 by all possible natural numbers less than 77 and check.
1,7,11,77 are the only factors that the number 77 has. So to verify the factors of 77 using the division method, we just need to divide 77 by each factor.
77/1 =77
77/7 =11
77/11=7
77/77=1
Prime Factors and Prime Factorization
Prime Factorization is the easiest process to find prime factors. It decomposes 77 into a product of its prime integers.
Prime Factors of 77: 7,11.
Prime Factorization of 77: 7×11
Factor tree
The number 77 is written on top and two branches are extended.
Fill in those branches with a factor pair of the number above, i.e., 77.
Continue this process until each branch ends with a prime factor (number).
The first two branches of the factor tree of 77 are 7 and 11.
Factor Pairs
Positive pair factors: (1,77), (7,11)
Negative pair factors: (-1,-77), (-7,-77).
Common Mistakes and How to Avoid Them in Factors of 77
Factors of 77 Examples
Problem 1
A lady has 77 dahlias and 154 roses. She wants to divide them equally among some vases. What is the maximum number of vases she requires?
Explanation
Problem 2
Find the simplest form of square root of 77.
Explanation
Problem 3
The area of a rectangle is 77 square units. If the length is 11 units, then what is the measure of its width?
Explanation
Problem 4
Find the smallest number that is divisible by 7 and 77.
Explanation
Problem 5
If a number is divisible by both 7 and 11, is it divisible by 77?
Explanation
FAQs on Factors of 77
1.Is 77 a prime number?
2.What is 77 divisible by?
3. Is 77 a perfect square?
4.Is 7 a factor of 777?
5.Is 7 a factor of 1000?
Important Glossaries for Factors of 77
- Ratio - Ratio of two numbers compares between them, how many times one number contains the other number. It is expressed as m:n, where m and n are two positive numbers whose ratio is to be shown.
- Factors - These are numbers that divide the given number without leaving any remainder or the remainder as 0.
- 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.
