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167 LearnersLast updated on December 10th, 2024
Factors of 47
Students need to understand that factors are the building blocks of numbers, and essential in various mathematical concepts. When you are sharing money equally among a group of people, factors are used to resolve the fair distribution.
What are the factors of 47?
The factors of 47 will be 1 and 47. These are the only numbers which divide 47 evenly without leaving any remainder. And, it always will be in a whole number. These are the only numbers that divide 47 exactly.
Negative Factors of 47 are -1 and -47.
Prime Factors of 47= 1 and 47
Prime Factorization of 47= 47
The sum of Factors of 47= 48
How to Find the Factors of 47
To find the factors of 47, students need to divide the original number evenly without leaving a remainder. Some methods are explained below for easy solution of factors-
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors Using Multiplication Method
Students need to find pairs of numbers that multiply together to give the original number.
Multiply the factors 1 and 47
1×47 = 47
Finding Factors by Division Method
Children need to get the division in a whole number, then both the divisor and the quotient are factors.
Check the number from 2 up to the square root of 47, where the square root of 47 is ±6.86. So, you need to check until 6.
47÷2 = 23.5
47÷3 = 15.67
47÷4 = 11.75
47÷5 = 9.4
47÷6 = 7.83
None of the above numbers divide 47 evenly, 47 has no factors other than 1 and 47.
Prime Factors and Factorization
Prime factors are prime numbers, with 1 and the number as factors. Prime Factorization helps to express the prime factors in their exponential form.
Prime Factors
Number 47 has only two prime factors.
Prime Factors of 47: 1 and 47
Prime Factorization of 47
Prime Factorization breaks down the prime factors of 47
Prime Factorization of 47 is expressed as 471
Factor Tree
For a prime number like 47, the factor tree only has two branches, 1 and 47. Where 47 can not be broken into smaller prime factors.
Factor trees are applicable when your number is composite.
Factor Pairs:
Factors of 47 are divided into both positive and negative pairs. It is similar to team members. The product of the factor pairs will be equal to the integer.
Positive pair : (1, 47)
Negative pair : (-1, -47)
Common Mistakes and How to Avoid them in Factors of 47
Factors of 47 examples
Problem 1
Ram has 47 pens and wants to distribute them equally among her friends without any leftovers. What are her options?
Explanation
Problem 2
Verify if 47 is a factor of 141
Explanation
Problem 3
Find a number whose factor pairs include 47
Explanation
FAQs for factors of 47
1.What is the factor tree for 47?
2.Why is 47 a prime number?
3.Is 47 a factor of 94?
4.What are the first five multiples of 47?
Important Glossaries for Factor of 47
- Factor:This is a number that divides another number evenly without leaving any remainder.
- Divisor:It is said to be a number that divides another number evenly without leaving a remainder.
- Composite Number:A number which is greater than one, and it has at least one positive integer other than one and the number itself.
- Multiple:It is a product of the given number and some other integer.
- Prime Factorization: A method of splitting down a number to its prime factors, which are the smallest numbers that multiple to result in a given number.
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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.
