# Factors of 1330

Factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, and 1330

#### How to find factors of a number

 1.   Find factors of 1330 using Division Method 2.   Find factors of 1330 using Prime Factorization 3.   Find factors of 1330 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1330

• Divide 1330 by 1: 1330 ÷ 1 : Remainder = 0
• Divide 1330 by 2: 1330 ÷ 2 : Remainder = 0
• Divide 1330 by 5: 1330 ÷ 5 : Remainder = 0
• Divide 1330 by 7: 1330 ÷ 7 : Remainder = 0
• Divide 1330 by 10: 1330 ÷ 10 : Remainder = 0
• Divide 1330 by 14: 1330 ÷ 14 : Remainder = 0
• Divide 1330 by 19: 1330 ÷ 19 : Remainder = 0
• Divide 1330 by 35: 1330 ÷ 35 : Remainder = 0
• Divide 1330 by 38: 1330 ÷ 38 : Remainder = 0
• Divide 1330 by 70: 1330 ÷ 70 : Remainder = 0
• Divide 1330 by 95: 1330 ÷ 95 : Remainder = 0
• Divide 1330 by 133: 1330 ÷ 133 : Remainder = 0
• Divide 1330 by 190: 1330 ÷ 190 : Remainder = 0
• Divide 1330 by 266: 1330 ÷ 266 : Remainder = 0
• Divide 1330 by 665: 1330 ÷ 665 : Remainder = 0
• Divide 1330 by 1330: 1330 ÷ 1330 : Remainder = 0

Hence, Factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, and 1330

#### 2. Steps to find factors of 1330 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 1330 using the division method, follow these steps:

• Step 1. Start dividing 1330 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 1330, which is 2. Divide 1330 by 2 to obtain the quotient (665).
1330 ÷ 2 = 665
• Step 3. Repeat step 1 with the obtained quotient (665).
665 ÷ 5 = 133
133 ÷ 7 = 19
19 ÷ 19 = 1

So, the prime factorization of 1330 is, 1330 = 2 x 5 x 7 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1330 as shown below:

So, the prime factorization of 1330 is, 1330 = 2 x 5 x 7 x 19.

#### 3. Find factors of 1330 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 1330 would be the two numbers which, when multiplied, give 1330 as the result.

The following table represents the calculation of factors of 1330 in pairs:

Factor Pair Pair Factorization
1 and 1330 1 x 1330 = 1330
2 and 665 2 x 665 = 1330
5 and 266 5 x 266 = 1330
7 and 190 7 x 190 = 1330
10 and 133 10 x 133 = 1330
14 and 95 14 x 95 = 1330
19 and 70 19 x 70 = 1330
35 and 38 35 x 38 = 1330

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 1330. They are called negative pair factors.

Hence, the negative pairs of 1330 would be ( -1 , -1330 ) , ( -2 , -665 ) , ( -5 , -266 ) , ( -7 , -190 ) , ( -10 , -133 ) , ( -14 , -95 ) , ( -19 , -70 ) and ( -35 , -38 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 1330 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, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330 are exact divisors of 1330.
• 1 is a factor of every number. Eg. 1 is a factor of 1330.
• Every number is a factor of zero (0), since 1330 x 0 = 0.

• Which is the smallest prime factor of 1330?

The smallest prime factor of 1330 is 2.

• Is 1330 a whole number?

Yes 1330 is a whole number.

• What are the prime factors of 1330?

The factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330.
Prime factors of 1330 are 2, 5, 7, 19.

• What two numbers make 1330?

Two numbers that make 1330 are 2 and 665.

• What are multiples of 1330?

First five multiples of 1330 are 2660, 3990, 5320, 6650.

• What is the sum of all factors of 1330?

The sum of all factors of 1330 is 2880.

• What are five multiples of 1330?

First five multiples of 1330 are 2660, 3990, 5320, 6650, 7980.

• Is 1330 a perfect square?

No 1330 is not a perfect square.

• What is the greatest prime factors of 1330?

The greatest prime factor of 1330 is 19.

#### Examples of Factors

How many factors are there for 1330?

Factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330.
So there are in total 16 factors.

Kevin has been asked to write 15 factor(s) of 1330. Can you predict the answer?

15 factor(s) of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665.

Sammy is puzzled while calculating the prime factors of 1330. Can you help him find them?

Factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330.
Prime factors of 1330 are 2, 5, 7, 19

What is prime factorization of 1330?

Prime factorization of 1330 is 2 x 5 x 7 x 19 = 2 x 5 x 7 x 19.

Ariel has been assigned the task to find the product of all the prime factors of 1330. Can you help her?

Prime factors of 1330 are 2, 5, 7, 19.
Hence, the product of prime factors of 1330.

Can you help Rubel to find out the product of the even factors of 1330?

Factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330.
Even factors of 1330 are 2, 10, 14, 38, 70, 190, 266, 1330.
Hence, product of even factors of 1330 is; 2 x 10 x 14 x 38 x 70 x 190 x 266 x 1330 = 50064115360000.

Joy wants to calculate mean of all the factors of 1330. Help him in finding the mean of 1330.

Factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1330 is 1 + 2 + 5 + 7 + 10 + 14 + 19 + 35 + 38 + 70 + 95 + 133 + 190 + 266 + 665 + 1330 = 2880.
Hence, the mean of factors of 1330 is 2880 ÷ 16 = 180.00.