Factors of 47 | Prime Factorization & Easy Division

Factors of 47

The factors of 47 are the numbers (including both positive and negative numbers) that, when multiplied, produce the number 47. In Math, there is a way to find the factors of any number.

For example, If we multiply 2 and 7, then we get 14, i.e. 2 × 7 = 14. 2 and 7 are factors of 14. 

Here you will find information on 47 factors, how to find the factors of the number 47, and the prime factors of 47.

What are the Factors of 47?

Factors of 47 are all the integers that can evenly divide 47 into some particular number. Whenever a number is divided by its factor, it equals one of the other factors. Therefore, when we divide 47 by its factor, we get another factor.

As we know, 47 is a prime number, with only two factors, i.e. 1 and 47.

Therefore, the factors of 47 are exactly the divisors of that number.

What are the Factors of -47?

When we multiply two numbers and get -47 as a product, those numbers are the factors of -47. 

Here is the explanation:

-1 × 47 = -47

 1 × -47 = -47

 -47 × 1 = -47

 47 × -1 = -47

We can get -47 by having (-1, 47) and (-47, 1) as a pair of factors. Similarly, we can also get -47 by having  (1, -47) and (47, -1) as a pair of factors.

How to Find the Factors of 47?

In general, we use the factorization method to find the factors of the number, 47.

Using the factorization method, first consider the numbers 1 and 47 as factors for 47. Then find the other pair of multiples of 47, which gives the original number.

The following steps will help you understand how to find the factors of 47.

Step 1: 

Write the number 47 first.

Step 2: 

Find the two numbers that result in 47 when multiplied, say 1 and 47, so that 1 x 47 = 47.

Step 3: 

In the case of 1 and 47, we know that they only have two factors, namely, the number itself and its own factor.

Step 4: 

A factorization of 47 is equal to 47 × 1.

Step 5: 

Therefore, the factorization of 47 is = 47 × 1.

In addition, it is possible to find the factors of 47 using the division method. Here, 47 is divided 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)

We know that any number cannot have factors that are decimal numbers. Therefore, only whole numbers can be factors.

Factors of 47 in Pairs

You can find the pair factors for 47 by multiplying the 2 numbers from a pair. 

These are the numbers:

Thus, the positive pair factors of 47 are (1, 47) and (47, 1).

Furthermore, the negative pair factors of 47 are (-1, -77) and (-7, -1).

Prime Factors of 47

In general, prime factorization is used to find the prime factors of a number. In this case, we can write 47 as follows.

47 = 1 × 47

As we know, 47 is a prime number. Since prime numbers only have 1 and themselves as factors, we cannot factor them further.

Since 47 itself is the prime factor, there is no other prime factor.

Solved Examples 

Example 1:

What are the common factors between 47 and 24?

Solution:

Factors of 47= 1, and 47.

1, 2, 3, 4, 6, 8, 12, and 24 are the factors of 24.

Hence, 47 and 24 have a common factor of 1.

Example 2:

Calculate the common factors of 41 and 52.

Solution:

1, and 41 are the factors of 41.

1, 2, 4, 13, 26, and 52 are the factors of 52.

Therefore, 41 and 452 have a common factor of 1.

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