# Factors of 1155

Factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, and 1155

#### How to find factors of a number

 1.   Find factors of 1155 using Division Method 2.   Find factors of 1155 using Prime Factorization 3.   Find factors of 1155 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1155

• Divide 1155 by 1: 1155 ÷ 1 : Remainder = 0
• Divide 1155 by 3: 1155 ÷ 3 : Remainder = 0
• Divide 1155 by 5: 1155 ÷ 5 : Remainder = 0
• Divide 1155 by 7: 1155 ÷ 7 : Remainder = 0
• Divide 1155 by 11: 1155 ÷ 11 : Remainder = 0
• Divide 1155 by 15: 1155 ÷ 15 : Remainder = 0
• Divide 1155 by 21: 1155 ÷ 21 : Remainder = 0
• Divide 1155 by 33: 1155 ÷ 33 : Remainder = 0
• Divide 1155 by 35: 1155 ÷ 35 : Remainder = 0
• Divide 1155 by 55: 1155 ÷ 55 : Remainder = 0
• Divide 1155 by 77: 1155 ÷ 77 : Remainder = 0
• Divide 1155 by 105: 1155 ÷ 105 : Remainder = 0
• Divide 1155 by 165: 1155 ÷ 165 : Remainder = 0
• Divide 1155 by 231: 1155 ÷ 231 : Remainder = 0
• Divide 1155 by 385: 1155 ÷ 385 : Remainder = 0
• Divide 1155 by 1155: 1155 ÷ 1155 : Remainder = 0

Hence, Factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, and 1155

#### 2. Steps to find factors of 1155 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 1155 using the division method, follow these steps:

• Step 1. Start dividing 1155 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 1155, which is 3. Divide 1155 by 3 to obtain the quotient (385).
1155 ÷ 3 = 385
• Step 3. Repeat step 1 with the obtained quotient (385).
385 ÷ 5 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1

So, the prime factorization of 1155 is, 1155 = 3 x 5 x 7 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1155 as shown below:

So, the prime factorization of 1155 is, 1155 = 3 x 5 x 7 x 11.

#### 3. Find factors of 1155 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 1155 would be the two numbers which, when multiplied, give 1155 as the result.

The following table represents the calculation of factors of 1155 in pairs:

Factor Pair Pair Factorization
1 and 1155 1 x 1155 = 1155
3 and 385 3 x 385 = 1155
5 and 231 5 x 231 = 1155
7 and 165 7 x 165 = 1155
11 and 105 11 x 105 = 1155
15 and 77 15 x 77 = 1155
21 and 55 21 x 55 = 1155
33 and 35 33 x 35 = 1155

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 1155. They are called negative pair factors.

Hence, the negative pairs of 1155 would be ( -1 , -1155 ) , ( -3 , -385 ) , ( -5 , -231 ) , ( -7 , -165 ) , ( -11 , -105 ) , ( -15 , -77 ) , ( -21 , -55 ) and ( -33 , -35 ) .

#### 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

• Every number is a factor of zero (0), since 1155 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, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155 are exact divisors of 1155.
• Factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155. Each factor divides 1155 without leaving a remainder.

• What are the prime factors of 1155?

The factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155.
Prime factors of 1155 are 3, 5, 7, 11.

• What two numbers make 1155?

Two numbers that make 1155 are 3 and 385.

• What is the greatest prime factors of 1155?

The greatest prime factor of 1155 is 11.

• What are factors of 1155?

Factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155.

• How do you find factors of a negative number? ( eg. -1155 )?

Factors of -1155 are -1, -3, -5, -7, -11, -15, -21, -33, -35, -55, -77, -105, -165, -231, -385, -1155.

• What are five multiples of 1155?

First five multiples of 1155 are 2310, 3465, 4620, 5775, 6930.

• Write some multiples of 1155?

First five multiples of 1155 are 2310, 3465, 4620, 5775.

• Is 1155 a perfect square?

No 1155 is not a perfect square.

• What two numbers make 1155?

Two numbers that make 1155 are 3 and 385.

#### Examples of Factors

What is prime factorization of 1155?

Prime factorization of 1155 is 3 x 5 x 7 x 11 = 3 x 5 x 7 x 11.

Sammy is puzzled while calculating the prime factors of 1155. Can you help him find them?

Factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155.
Prime factors of 1155 are 3, 5, 7, 11

Kevin has been asked to write 15 factor(s) of 1155. Can you predict the answer?

15 factor(s) of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385.

Joey wants to write all the prime factors of 1155 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1155 are 3, 5, 7, 11.
So in exponential form it can be written as 3 x 5 x 7 x 11.

How many factors are there for 1155?

Factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155.
So there are in total 16 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1155? Help her in writing all the factors.

Positive factors are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155.
Negative factors are -1, -3, -5, -7, -11, -15, -21, -33, -35, -55, -77, -105, -165, -231, -385, -1155.

Can you help Rubel to find out the product of the even factors of 1155?

Factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155.
Even factors of 1155 are 0.
Hence, product of even factors of 1155 is; 0 = 0.