Factors of 47

2. Steps to find factors of 47 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 47 using the division method, follow these steps:

• Step 1. Start dividing 47 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 47, which is 47. Divide 47 by 47 to obtain the quotient (1).
  47 ÷ 47 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 47 is, 47 = 47.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 47 as shown below:

So, the prime factorization of 47 is, 47 = 47.

3. Find factors of 47 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 47 would be the two numbers which, when multiplied, give 47 as the result.

The following table represents the calculation of factors of 47 in pairs:

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 47. They are called negative pair factors.

Hence, the negative pairs of 47 would be ( -1 , -47 ) , .

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of factors

• Every number is a factor of zero (0), since 47 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 47 are exact divisors of 47.
• Factors of 47 are 1, 47. Each factor divides 47 without leaving a remainder.

Frequently Asked Questions

• What two numbers make 47?

  Two numbers that make 47 are 47 and 1.

• What is prime factorization of 47?

  Prime factorization of 47 is 47.

• Write some multiples of 47?

  First five multiples of 47 are 94, 141, 188, 235.

• Which is the smallest prime factor of 47?

  The smallest prime factor of 47 is 47.

• Is 47 a perfect square?

  No 47 is not a perfect square.

• What is the sum of all factors of 47?

  The sum of all factors of 47 is 48.

• What are factors of 47?

  Factors of 47 are 1, 47.

• How do you find factors of a negative number? ( eg. -47 )?

  Factors of -47 are -1, -47.

• Is 47 a whole number?

  Yes 47 is a whole number.

Examples of Factors