# Factors of 2145

Factors of 2145 are 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, and 2145

#### How to find factors of a number

 1.   Find factors of 2145 using Division Method 2.   Find factors of 2145 using Prime Factorization 3.   Find factors of 2145 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2145

• Divide 2145 by 1: 2145 ÷ 1 : Remainder = 0
• Divide 2145 by 3: 2145 ÷ 3 : Remainder = 0
• Divide 2145 by 5: 2145 ÷ 5 : Remainder = 0
• Divide 2145 by 11: 2145 ÷ 11 : Remainder = 0
• Divide 2145 by 13: 2145 ÷ 13 : Remainder = 0
• Divide 2145 by 15: 2145 ÷ 15 : Remainder = 0
• Divide 2145 by 33: 2145 ÷ 33 : Remainder = 0
• Divide 2145 by 39: 2145 ÷ 39 : Remainder = 0
• Divide 2145 by 55: 2145 ÷ 55 : Remainder = 0
• Divide 2145 by 65: 2145 ÷ 65 : Remainder = 0
• Divide 2145 by 143: 2145 ÷ 143 : Remainder = 0
• Divide 2145 by 165: 2145 ÷ 165 : Remainder = 0
• Divide 2145 by 195: 2145 ÷ 195 : Remainder = 0
• Divide 2145 by 429: 2145 ÷ 429 : Remainder = 0
• Divide 2145 by 715: 2145 ÷ 715 : Remainder = 0
• Divide 2145 by 2145: 2145 ÷ 2145 : Remainder = 0

Hence, Factors of 2145 are 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, and 2145

#### 2. Steps to find factors of 2145 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 2145 using the division method, follow these steps:

• Step 1. Start dividing 2145 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 2145, which is 3. Divide 2145 by 3 to obtain the quotient (715).
2145 ÷ 3 = 715
• Step 3. Repeat step 1 with the obtained quotient (715).
715 ÷ 5 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1

So, the prime factorization of 2145 is, 2145 = 3 x 5 x 11 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2145 as shown below:

So, the prime factorization of 2145 is, 2145 = 3 x 5 x 11 x 13.

#### 3. Find factors of 2145 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 2145 would be the two numbers which, when multiplied, give 2145 as the result.

The following table represents the calculation of factors of 2145 in pairs:

Factor Pair Pair Factorization
1 and 2145 1 x 2145 = 2145
3 and 715 3 x 715 = 2145
5 and 429 5 x 429 = 2145
11 and 195 11 x 195 = 2145
13 and 165 13 x 165 = 2145
15 and 143 15 x 143 = 2145
33 and 65 33 x 65 = 2145
39 and 55 39 x 55 = 2145

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 2145. They are called negative pair factors.

Hence, the negative pairs of 2145 would be ( -1 , -2145 ) , ( -3 , -715 ) , ( -5 , -429 ) , ( -11 , -195 ) , ( -13 , -165 ) , ( -15 , -143 ) , ( -33 , -65 ) and ( -39 , -55 ) .

#### 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 factor of a number is an exact divisor of that number, example 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145 are exact divisors of 2145.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 2145 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 2145.

• What are the prime factors of 2145?

The factors of 2145 are 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145.
Prime factors of 2145 are 3, 5, 11, 13.

• What two numbers make 2145?

Two numbers that make 2145 are 3 and 715.

• What is the greatest prime factors of 2145?

The greatest prime factor of 2145 is 13.

• What are factors of 2145?

Factors of 2145 are 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145.

• How do you find factors of a negative number? ( eg. -2145 )?

Factors of -2145 are -1, -3, -5, -11, -13, -15, -33, -39, -55, -65, -143, -165, -195, -429, -715, -2145.

• What are five multiples of 2145?

First five multiples of 2145 are 4290, 6435, 8580, 10725, 12870.

• Write some multiples of 2145?

First five multiples of 2145 are 4290, 6435, 8580, 10725.

• Is 2145 a perfect square?

No 2145 is not a perfect square.

• What two numbers make 2145?

Two numbers that make 2145 are 3 and 715.

#### Examples of Factors

What is prime factorization of 2145?

Prime factorization of 2145 is 3 x 5 x 11 x 13 = 3 x 5 x 11 x 13.

Sammy is puzzled while calculating the prime factors of 2145. Can you help him find them?

Factors of 2145 are 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145.
Prime factors of 2145 are 3, 5, 11, 13

Kevin has been asked to write 15 factor(s) of 2145. Can you predict the answer?

15 factor(s) of 2145 are 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715.

Joey wants to write all the prime factors of 2145 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2145 are 3, 5, 11, 13.
So in exponential form it can be written as 3 x 5 x 11 x 13.

How many factors are there for 2145?

Factors of 2145 are 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145.
So there are in total 16 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2145? Help her in writing all the factors.

Positive factors are 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145.
Negative factors are -1, -3, -5, -11, -13, -15, -33, -39, -55, -65, -143, -165, -195, -429, -715, -2145.

Can you help Rubel to find out the product of the even factors of 2145?

Factors of 2145 are 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145.
Even factors of 2145 are 0.
Hence, product of even factors of 2145 is; 0 = 0.