Factors of 159

2. Steps to find factors of 159 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 159 using the division method, follow these steps:

• Step 1. Start dividing 159 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 159, which is 3. Divide 159 by 3 to obtain the quotient (53).
  159 ÷ 3 = 53
• Step 3. Repeat step 1 with the obtained quotient (53).
  53 ÷ 53 = 1

So, the prime factorization of 159 is, 159 = 3 x 53.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 159 as shown below:

So, the prime factorization of 159 is, 159 = 3 x 53.

3. Find factors of 159 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 159 would be the two numbers which, when multiplied, give 159 as the result.

The following table represents the calculation of factors of 159 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 159. They are called negative pair factors.

Hence, the negative pairs of 159 would be ( -1 , -159 ) , ( -3 , -53 ) .

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of factors

• Every number is a factor of zero (0), since 159 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, 53, 159 are exact divisors of 159.
• Factors of 159 are 1, 3, 53, 159. Each factor divides 159 without leaving a remainder.

Frequently Asked Questions

• How do you find factors of a negative number? ( eg. -159 )?

  Factors of -159 are -1, -3, -53, -159.

• What is the sum of all factors of 159?

  The sum of all factors of 159 is 216.

• What is prime factorization of 159?

  Prime factorization of 159 is 3 x 53.

• What are the pair factors of 159?

  Pair factors of 159 are (1,159), (3,53).

• What are six multiples of 159?

  First five multiples of 159 are 318, 477, 636, 795, 954, 1113.

• Is 159 a whole number?

  Yes 159 is a whole number.

• Which is the smallest prime factor of 159?

  Smallest prime factor of 159 is 3.

• What are five multiples of 159?

  First five multiples of 159 are 318, 477, 636, 795, 954.

• Write all factors of 159?

  Factors of 159 are 1, 3, 53, 159.

Examples of Factors