Factors of 51

2. Steps to find factors of 51 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 51 using the division method, follow these steps:

• Step 1. Start dividing 51 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 51, which is 3. Divide 51 by 3 to obtain the quotient (17).
  51 ÷ 3 = 17
• Step 3. Repeat step 1 with the obtained quotient (17).
  17 ÷ 17 = 1

So, the prime factorization of 51 is, 51 = 3 x 17.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 51 as shown below:

So, the prime factorization of 51 is, 51 = 3 x 17.

3. Find factors of 51 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 51 would be the two numbers which, when multiplied, give 51 as the result.

The following table represents the calculation of factors of 51 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 51. They are called negative pair factors.

Hence, the negative pairs of 51 would be ( -1 , -51 ) , ( -3 , -17 ) .

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of factors

• Every number is a factor of zero (0), since 51 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, 3, 17, 51 are exact divisors of 51.
• Factors of 51 are 1, 3, 17, 51. Each factor divides 51 without leaving a remainder.

Frequently Asked Questions

• How do you find factors of a negative number? ( eg. -51 )?

  Factors of -51 are -1, -3, -17, -51.

• What is the sum of all factors of 51?

  The sum of all factors of 51 is 72.

• What is prime factorization of 51?

  Prime factorization of 51 is 3 x 17.

• What are the pair factors of 51?

  Pair factors of 51 are (1,51), (3,17).

• What are six multiples of 51?

  First five multiples of 51 are 102, 153, 204, 255, 306, 357.

• Is 51 a whole number?

  Yes 51 is a whole number.

• Which is the smallest prime factor of 51?

  Smallest prime factor of 51 is 3.

• What are five multiples of 51?

  First five multiples of 51 are 102, 153, 204, 255, 306.

• Write all factors of 51?

  Factors of 51 are 1, 3, 17, 51.

Examples of Factors