# Factors of 147

Factors of 147 are 1, 3, 7, 21, 49, and 147

#### How to find factors of a number

 1.   Find factors of 147 using Division Method 2.   Find factors of 147 using Prime Factorization 3.   Find factors of 147 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 147

• Divide 147 by 1: 147 ÷ 1 : Remainder = 0
• Divide 147 by 3: 147 ÷ 3 : Remainder = 0
• Divide 147 by 7: 147 ÷ 7 : Remainder = 0
• Divide 147 by 21: 147 ÷ 21 : Remainder = 0
• Divide 147 by 49: 147 ÷ 49 : Remainder = 0
• Divide 147 by 147: 147 ÷ 147 : Remainder = 0

Hence, Factors of 147 are 1, 3, 7, 21, 49, and 147

#### 2. Steps to find factors of 147 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 147 using the division method, follow these steps:

• Step 1. Start dividing 147 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 147, which is 3. Divide 147 by 3 to obtain the quotient (49).
147 ÷ 3 = 49
• Step 3. Repeat step 1 with the obtained quotient (49).
49 ÷ 7 = 7
7 ÷ 7 = 1

So, the prime factorization of 147 is, 147 = 3 x 7 x 7.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 147 as shown below:

So, the prime factorization of 147 is, 147 = 3 x 7 x 7.

#### 3. Find factors of 147 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 147 would be the two numbers which, when multiplied, give 147 as the result.

The following table represents the calculation of factors of 147 in pairs:

Factor Pair Pair Factorization
1 and 147 1 x 147 = 147
3 and 49 3 x 49 = 147
7 and 21 7 x 21 = 147

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 147. They are called negative pair factors.

Hence, the negative pairs of 147 would be ( -1 , -147 ) , ( -3 , -49 ) and ( -7 , -21 ) .

#### 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 147 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, 7, 21, 49, 147 are exact divisors of 147.
• Factors of 147 are 1, 3, 7, 21, 49, 147. Each factor divides 147 without leaving a remainder.

• What are the prime factors of 147?

The factors of 147 are 1, 3, 7, 21, 49, 147.
Prime factors of 147 are 3, 7, 7.

• What two numbers make 147?

Two numbers that make 147 are 3 and 49.

• What is the greatest prime factors of 147?

The greatest prime factor of 147 is 7.

• What are factors of 147?

Factors of 147 are 1, 3, 7, 21, 49, 147.

• How do you find factors of a negative number? ( eg. -147 )?

Factors of -147 are -1, -3, -7, -21, -49, -147.

• What are five multiples of 147?

First five multiples of 147 are 294, 441, 588, 735, 882.

• Write some multiples of 147?

First five multiples of 147 are 294, 441, 588, 735.

• Is 147 a perfect square?

No 147 is not a perfect square.

• What two numbers make 147?

Two numbers that make 147 are 3 and 49.

#### Examples of Factors

What is prime factorization of 147?

Prime factorization of 147 is 3 x 7 x 7 = 3 x 72.

Sammy is puzzled while calculating the prime factors of 147. Can you help him find them?

Factors of 147 are 1, 3, 7, 21, 49, 147.
Prime factors of 147 are 3, 7, 7

Kevin has been asked to write 5 factor(s) of 147. Can you predict the answer?

5 factor(s) of 147 are 1, 3, 7, 21, 49.

Joey wants to write all the prime factors of 147 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 147 are 3, 7, 7.
So in exponential form it can be written as 3 x 72.

How many factors are there for 147?

Factors of 147 are 1, 3, 7, 21, 49, 147.
So there are in total 6 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 147? Help her in writing all the factors.

Positive factors are 1, 3, 7, 21, 49, 147.
Negative factors are -1, -3, -7, -21, -49, -147.

Can you help Rubel to find out the product of the even factors of 147?

Factors of 147 are 1, 3, 7, 21, 49, 147.
Even factors of 147 are 0.
Hence, product of even factors of 147 is; 0 = 0.