# Factors of 9604

Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, and 9604

#### How to find factors of a number

 1.   Find factors of 9604 using Division Method 2.   Find factors of 9604 using Prime Factorization 3.   Find factors of 9604 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 9604

• Divide 9604 by 1: 9604 ÷ 1 : Remainder = 0
• Divide 9604 by 2: 9604 ÷ 2 : Remainder = 0
• Divide 9604 by 4: 9604 ÷ 4 : Remainder = 0
• Divide 9604 by 7: 9604 ÷ 7 : Remainder = 0
• Divide 9604 by 14: 9604 ÷ 14 : Remainder = 0
• Divide 9604 by 28: 9604 ÷ 28 : Remainder = 0
• Divide 9604 by 49: 9604 ÷ 49 : Remainder = 0
• Divide 9604 by 98: 9604 ÷ 98 : Remainder = 0
• Divide 9604 by 196: 9604 ÷ 196 : Remainder = 0
• Divide 9604 by 343: 9604 ÷ 343 : Remainder = 0
• Divide 9604 by 686: 9604 ÷ 686 : Remainder = 0
• Divide 9604 by 1372: 9604 ÷ 1372 : Remainder = 0
• Divide 9604 by 2401: 9604 ÷ 2401 : Remainder = 0
• Divide 9604 by 4802: 9604 ÷ 4802 : Remainder = 0
• Divide 9604 by 9604: 9604 ÷ 9604 : Remainder = 0

Hence, Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, and 9604

#### 2. Steps to find factors of 9604 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 9604 using the division method, follow these steps:

• Step 1. Start dividing 9604 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 9604, which is 2. Divide 9604 by 2 to obtain the quotient (4802).
9604 ÷ 2 = 4802
• Step 3. Repeat step 1 with the obtained quotient (4802).
4802 ÷ 2 = 2401
2401 ÷ 7 = 343
343 ÷ 7 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1

So, the prime factorization of 9604 is, 9604 = 2 x 2 x 7 x 7 x 7 x 7.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 9604 as shown below:

So, the prime factorization of 9604 is, 9604 = 2 x 2 x 7 x 7 x 7 x 7.

#### 3. Find factors of 9604 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 9604 would be the two numbers which, when multiplied, give 9604 as the result.

The following table represents the calculation of factors of 9604 in pairs:

Factor Pair Pair Factorization
1 and 9604 1 x 9604 = 9604
2 and 4802 2 x 4802 = 9604
4 and 2401 4 x 2401 = 9604
7 and 1372 7 x 1372 = 9604
14 and 686 14 x 686 = 9604
28 and 343 28 x 343 = 9604
49 and 196 49 x 196 = 9604
98 and 98 98 x 98 = 9604

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 9604. They are called negative pair factors.

Hence, the negative pairs of 9604 would be ( -1 , -9604 ) , ( -2 , -4802 ) , ( -4 , -2401 ) , ( -7 , -1372 ) , ( -14 , -686 ) , ( -28 , -343 ) , ( -49 , -196 ) and ( -98 , -98 ) .

#### 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

• Each number is a factor of itself. Eg. 9604 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 9604.
• Every number is a factor of zero (0), since 9604 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, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604 are exact divisors of 9604.
• Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604. Each factor divides 9604 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604 are all less than or equal to 9604.

• What are the prime factors of 9604?

The factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604.
Prime factors of 9604 are 2, 2, 7, 7, 7, 7.

• What is the sum of all factors of 9604?

The sum of all factors of 9604 is 19607.

• What are the pair factors of 9604?

Pair factors of 9604 are (1,9604), (2,4802), (4,2401), (7,1372), (14,686), (28,343), (49,196), (98,98).

• What two numbers make 9604?

Two numbers that make 9604 are 2 and 4802.

• What are multiples of 9604?

First five multiples of 9604 are 19208, 28812, 38416, 48020.

• Is 9604 a perfect square?

Yes 9604 is a perfect square.

• Which is greatest factor of 9604?

The greatest factor of 9604 is 4802.

• How do you factors of 9604?

Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604.

• What are five multiples of 9604?

First five multiples of 9604 are 19208, 28812, 38416, 48020, 57624.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 9604?

Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604.
Even factors of 9604 are 2, 4, 14, 28, 98, 196, 686, 1372, 4802, 9604.
Hence, product of even factors of 9604 is; 2 x 4 x 14 x 28 x 98 x 196 x 686 x 1372 x 4802 x 9604 = 2.61463298204015e+21.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 9604? Help her in writing all the factors.

Positive factors are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604.
Negative factors are -1, -2, -4, -7, -14, -28, -49, -98, -196, -343, -686, -1372, -2401, -4802, -9604.

How many factors are there for 9604?

Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604.
So there are in total 15 factors.

Sammy is puzzled while calculating the prime factors of 9604. Can you help him find them?

Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604.
Prime factors of 9604 are 2, 2, 7, 7, 7, 7

Joey wants to write all the prime factors of 9604 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 9604 are 2, 2, 7, 7, 7, 7.
So in exponential form it can be written as 22 x 74.

What is prime factorization of 9604?

Prime factorization of 9604 is 2 x 2 x 7 x 7 x 7 x 7 = 22 x 74.

Can you help Rubel to find out the product of the even factors of 9604?

Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604.
Even factors of 9604 are 2, 4, 14, 28, 98, 196, 686, 1372, 4802, 9604.
Hence, product of even factors of 9604 is; 2 x 4 x 14 x 28 x 98 x 196 x 686 x 1372 x 4802 x 9604 = 2.61463298204015e+21.