# Factors of 302

Factors of 302 are 1, 2, 151, and 302

#### How to find factors of a number

 1.   Find factors of 302 using Division Method 2.   Find factors of 302 using Prime Factorization 3.   Find factors of 302 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 302

• Divide 302 by 1: 302 ÷ 1 : Remainder = 0
• Divide 302 by 2: 302 ÷ 2 : Remainder = 0
• Divide 302 by 151: 302 ÷ 151 : Remainder = 0
• Divide 302 by 302: 302 ÷ 302 : Remainder = 0

Hence, Factors of 302 are 1, 2, 151, and 302

#### 2. Steps to find factors of 302 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 302 using the division method, follow these steps:

• Step 1. Start dividing 302 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 302, which is 2. Divide 302 by 2 to obtain the quotient (151).
302 ÷ 2 = 151
• Step 3. Repeat step 1 with the obtained quotient (151).
151 ÷ 151 = 1

So, the prime factorization of 302 is, 302 = 2 x 151.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 302 as shown below:

So, the prime factorization of 302 is, 302 = 2 x 151.

#### 3. Find factors of 302 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 302 would be the two numbers which, when multiplied, give 302 as the result.

The following table represents the calculation of factors of 302 in pairs:

Factor Pair Pair Factorization
1 and 302 1 x 302 = 302
2 and 151 2 x 151 = 302

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 302. They are called negative pair factors.

Hence, the negative pairs of 302 would be ( -1 , -302 ) , ( -2 , -151 ) .

#### 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

• Each number is a factor of itself. Eg. 302 is a factor of itself.
• 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, 2, 151, 302 are exact divisors of 302.
• 1 is a factor of every number. Eg. 1 is a factor of 302.
• Every number is a factor of zero (0), since 302 x 0 = 0.

• What are the pair factors of 302?

Pair factors of 302 are (1,302), (2,151).

• What are five multiples of 302?

First five multiples of 302 are 604, 906, 1208, 1510, 1812.

• What two numbers make 302?

Two numbers that make 302 are 2 and 151.

• What is the sum of all factors of 302?

The sum of all factors of 302 is 456.

• What are factors of -302?

Factors of -302 are -1, -2, -151, -302.

• What are factors of 302?

Factors of 302 are 1, 2, 151, 302.

• Is 302 a perfect square?

No 302 is not a perfect square.

• Which is the smallest prime factor of 302?

Smallest prime factor of 302 is 2.

• Which is greatest factor of 302?

The greatest factor of 302 is 151.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 302?

Factors of 302 are 1, 2, 151, 302.
Odd factors of 302 are 1, 151.
Hence product of odd factors of 302 is; 1 x 151 = 151.

Joey wants to write all the prime factors of 302 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 302 are 2, 151.
So in exponential form it can be written as 2 x 151.

How many factors are there for 302?

Factors of 302 are 1, 2, 151, 302.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 302. Can you predict the answer?

3 factor(s) of 302 are 1, 2, 151.

Sammy is puzzled while calculating the prime factors of 302. Can you help him find them?

Factors of 302 are 1, 2, 151, 302.
Prime factors of 302 are 2, 151

What is prime factorization of 302?

Prime factorization of 302 is 2 x 151 = 2 x 151.

Can you help Rubel to find out the product of the even factors of 302?

Factors of 302 are 1, 2, 151, 302.
Even factors of 302 are 2, 302.
Hence, product of even factors of 302 is; 2 x 302 = 604.