Factors of 149

2. Steps to find factors of 149 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 149 using the division method, follow these steps:

• Step 1. Start dividing 149 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 149, which is 149. Divide 149 by 149 to obtain the quotient (1).
  149 ÷ 149 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 149 is, 149 = 149.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 149 as shown below:

So, the prime factorization of 149 is, 149 = 149.

3. Find factors of 149 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 149 would be the two numbers which, when multiplied, give 149 as the result.

The following table represents the calculation of factors of 149 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 149. They are called negative pair factors.

Hence, the negative pairs of 149 would be ( -1 , -149 ) , .

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 factor of a number is an exact divisor of that number, example 1, 149 are exact divisors of 149.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 149 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 149.

Frequently Asked Questions

• What are the pair factors of 149?

  Pair factors of 149 are (1,149).

• What are five multiples of 149?

  First five multiples of 149 are 298, 447, 596, 745, 894.

• What two numbers make 149?

  Two numbers that make 149 are 149 and 1.

• What is the sum of all factors of 149?

  The sum of all factors of 149 is 150.

• What are factors of -149?

  Factors of -149 are -1, -149.

• What are factors of 149?

  Factors of 149 are 1, 149.

• Is 149 a perfect square?

  No 149 is not a perfect square.

• Which is the smallest prime factor of 149?

  Smallest prime factor of 149 is 149.

• Which is greatest factor of 149?

  The greatest factor of 149 is 1.

Examples of Factors