Factors of 47 are the numbers (including both positive and negative numbers) which get multiplied and produce the result as 47. For example, when we multiply 2 and 7, we get 14, i.e. 2 × 7 = 14. Here, 2 and 7 are the factors of 14. In this article, you will learn about the factors of 47, how to find the factors of a number 47 and prime factors of 47 in detail.
What are the Factors of 47?
Factors of 47 are all the integers that we can evenly divide 47 into some particular numbers. We know that any number divided by its factor will be equal to one of the other factors. Thus, when we divide 47 with its factor, it will be equal to another factor.
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We know that 47 is a prime number, it has only two factors, i.e. 1 and 47.
Factors of 47
1 and 47
Therefore, the factors of 47 are the exact divisors of that number.
How to Find the Factors of 47?
To find the factors of a number, 47, we generally use the factorization method.
In the factorization method, first, consider the numbers 1 and 47 as factors for 47 and continue with finding the other pair of multiples of 47, which gives the results as an original number.
Go through the below given steps to understand the process of finding the factors of 47.
Step 1: First, write the number 47.
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Step 2: Find the two numbers, which results in 47 under the multiplication, say 1 and 47, such that 1 × 47 = 47.
Step 3: As we know 1 and 47 are the prime numbers that have only two factors, i.e., one and the number itself and cannot further factorize it.
Step 4: The factorisation of 47 = 47 × 1.
Step 5: Therefore, the factorization of 47 is written as 47 = 47 × 1.
Alternatively, it is possible to get the factors of 47 using the division method. Here, we have to divide 47 by counting numbers or natural numbers.
47/1 = 47 (a factor)
47/2 = 23.5 (not a factor)
47/3 = 15.66.. (not a factor)
…
47/47 = 1 (a factor)
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As we know, the factors of any number cannot be decimal numbers. Thus, we consider only whole numbers as the factors.
Factor of 47 in Pairs
To find the pair factors of 47, multiply the 2 numbers in a pair to have the original number as 47. Such numbers are as follows:
Positive factor pairs Negative factor pairs 1 × 47 = 47; (1, 47) (-1) × (-47) = 47; (-1, -47) 47 × 1 = 47; (47, 1) (-47) × (-1) = 47; (-47, -1)
Therefore, the positive pair factors of 47 are: (1, 47) and (47, 1).
Also, the negative pair factors of 47 are (-1, -47) and (-47, -1).
Prime Factors of 47
We generally use the prime factorization method to get the prime factors of a number. However, we can write the prime factors of 47 as given below.
47 = 1 × 47
We know that 47 is a prime number. We cannot factor it further since the prime numbers do not have factors other than 1 and the number itself.
Therefore, there are no other prime factors other than 47 itself.
Video Lesson on Prime Factors
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