# Factors of 1755

Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, and 1755

#### How to find factors of a number

 1.   Find factors of 1755 using Division Method 2.   Find factors of 1755 using Prime Factorization 3.   Find factors of 1755 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1755

• Divide 1755 by 1: 1755 ÷ 1 : Remainder = 0
• Divide 1755 by 3: 1755 ÷ 3 : Remainder = 0
• Divide 1755 by 5: 1755 ÷ 5 : Remainder = 0
• Divide 1755 by 9: 1755 ÷ 9 : Remainder = 0
• Divide 1755 by 13: 1755 ÷ 13 : Remainder = 0
• Divide 1755 by 15: 1755 ÷ 15 : Remainder = 0
• Divide 1755 by 27: 1755 ÷ 27 : Remainder = 0
• Divide 1755 by 39: 1755 ÷ 39 : Remainder = 0
• Divide 1755 by 45: 1755 ÷ 45 : Remainder = 0
• Divide 1755 by 65: 1755 ÷ 65 : Remainder = 0
• Divide 1755 by 117: 1755 ÷ 117 : Remainder = 0
• Divide 1755 by 135: 1755 ÷ 135 : Remainder = 0
• Divide 1755 by 195: 1755 ÷ 195 : Remainder = 0
• Divide 1755 by 351: 1755 ÷ 351 : Remainder = 0
• Divide 1755 by 585: 1755 ÷ 585 : Remainder = 0
• Divide 1755 by 1755: 1755 ÷ 1755 : Remainder = 0

Hence, Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, and 1755

#### 2. Steps to find factors of 1755 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 1755 using the division method, follow these steps:

• Step 1. Start dividing 1755 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 1755, which is 3. Divide 1755 by 3 to obtain the quotient (585).
1755 ÷ 3 = 585
• Step 3. Repeat step 1 with the obtained quotient (585).
585 ÷ 3 = 195
195 ÷ 3 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1

So, the prime factorization of 1755 is, 1755 = 3 x 3 x 3 x 5 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1755 as shown below:

So, the prime factorization of 1755 is, 1755 = 3 x 3 x 3 x 5 x 13.

#### 3. Find factors of 1755 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 1755 would be the two numbers which, when multiplied, give 1755 as the result.

The following table represents the calculation of factors of 1755 in pairs:

Factor Pair Pair Factorization
1 and 1755 1 x 1755 = 1755
3 and 585 3 x 585 = 1755
5 and 351 5 x 351 = 1755
9 and 195 9 x 195 = 1755
13 and 135 13 x 135 = 1755
15 and 117 15 x 117 = 1755
27 and 65 27 x 65 = 1755
39 and 45 39 x 45 = 1755

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 1755. They are called negative pair factors.

Hence, the negative pairs of 1755 would be ( -1 , -1755 ) , ( -3 , -585 ) , ( -5 , -351 ) , ( -9 , -195 ) , ( -13 , -135 ) , ( -15 , -117 ) , ( -27 , -65 ) and ( -39 , -45 ) .

#### 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 1755 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, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755 are exact divisors of 1755.
• Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755. Each factor divides 1755 without leaving a remainder.

• Which is the smallest prime factor of 1755?

Smallest prime factor of 1755 is 3.

• Is 1755 a perfect square?

No 1755 is not a perfect square.

• What are five multiples of 1755?

First five multiples of 1755 are 3510, 5265, 7020, 8775, 10530.

• What is prime factorization of 1755?

Prime factorization of 1755 is 3 x 3 x 3 x 5 x 13.

• What are factors of 1755?

Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755.

• How do you find factors of a negative number? ( eg. -1755 )?

Factors of -1755 are -1, -3, -5, -9, -13, -15, -27, -39, -45, -65, -117, -135, -195, -351, -585, -1755.

• Is 1755 a whole number?

Yes 1755 is a whole number.

• Which is greatest factor of 1755?

The greatest factor of 1755 is 585.

• What are the prime factors of 1755?

The factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755.
Prime factors of 1755 are 3, 3, 3, 5, 13.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 1755. Can you help her?

Prime factors of 1755 are 3, 3, 3, 5, 13.
Hence, the product of prime factors of 195.

Can you help Rubel to find out the product of the even factors of 1755?

Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755.
Even factors of 1755 are 0.
Hence, product of even factors of 1755 is; 0 = 0.

Joy wants to calculate mean of all the factors of 1755. Help him in finding the mean of 1755.

Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1755 is 1 + 3 + 5 + 9 + 13 + 15 + 27 + 39 + 45 + 65 + 117 + 135 + 195 + 351 + 585 + 1755 = 3360.
Hence, the mean of factors of 1755 is 3360 ÷ 16 = 210.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1755? Help her in writing all the factors.

Positive factors are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755.
Negative factors are -1, -3, -5, -9, -13, -15, -27, -39, -45, -65, -117, -135, -195, -351, -585, -1755.

How many factors are there for 1755?

Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755.
So there are in total 16 factors.

Joey wants to write all the prime factors of 1755 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1755 are 3, 3, 3, 5, 13.
So in exponential form it can be written as 33 x 5 x 13.

Kevin has been asked to write 15 factor(s) of 1755. Can you predict the answer?

15 factor(s) of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585.