# Factors of 149

Factors of 149 are 1 and 149

#### How to find factors of a number

 1.   Find factors of 149 using Division Method 2.   Find factors of 149 using Prime Factorization 3.   Find factors of 149 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 149

• Divide 149 by 1: 149 ÷ 1 : Remainder = 0
• Divide 149 by 149: 149 ÷ 149 : Remainder = 0

Hence, Factors of 149 are 1 and 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:

Factor Pair Pair Factorization
1 and 149 1 x 149 = 149

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.

• 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

Can you help Sammy find out the product of the odd factors of 149?

Factors of 149 are 1, 149.
Odd factors of 149 are 1, 149.
Hence product of odd factors of 149 is; 1 x 149 = 149.

Joey wants to write all the prime factors of 149 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 149 are 149.
So in exponential form it can be written as 149.

How many factors are there for 149?

Factors of 149 are 1, 149.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 149. Can you predict the answer?

1 factor(s) of 149 is 1.

Sammy is puzzled while calculating the prime factors of 149. Can you help him find them?

Factors of 149 are 1, 149.
Prime factors of 149 are 149

What is prime factorization of 149?

Prime factorization of 149 is 149 = 149.

Can you help Rubel to find out the product of the even factors of 149?

Factors of 149 are 1, 149.
Even factors of 149 are 0.
Hence, product of even factors of 149 is; 0 = 0.