# Factors of 1275

Factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, and 1275

#### How to find factors of a number

 1.   Find factors of 1275 using Division Method 2.   Find factors of 1275 using Prime Factorization 3.   Find factors of 1275 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1275

• Divide 1275 by 1: 1275 ÷ 1 : Remainder = 0
• Divide 1275 by 3: 1275 ÷ 3 : Remainder = 0
• Divide 1275 by 5: 1275 ÷ 5 : Remainder = 0
• Divide 1275 by 15: 1275 ÷ 15 : Remainder = 0
• Divide 1275 by 17: 1275 ÷ 17 : Remainder = 0
• Divide 1275 by 25: 1275 ÷ 25 : Remainder = 0
• Divide 1275 by 51: 1275 ÷ 51 : Remainder = 0
• Divide 1275 by 75: 1275 ÷ 75 : Remainder = 0
• Divide 1275 by 85: 1275 ÷ 85 : Remainder = 0
• Divide 1275 by 255: 1275 ÷ 255 : Remainder = 0
• Divide 1275 by 425: 1275 ÷ 425 : Remainder = 0
• Divide 1275 by 1275: 1275 ÷ 1275 : Remainder = 0

Hence, Factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, and 1275

#### 2. Steps to find factors of 1275 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 1275 using the division method, follow these steps:

• Step 1. Start dividing 1275 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 1275, which is 3. Divide 1275 by 3 to obtain the quotient (425).
1275 ÷ 3 = 425
• Step 3. Repeat step 1 with the obtained quotient (425).
425 ÷ 5 = 85
85 ÷ 5 = 17
17 ÷ 17 = 1

So, the prime factorization of 1275 is, 1275 = 3 x 5 x 5 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1275 as shown below:

So, the prime factorization of 1275 is, 1275 = 3 x 5 x 5 x 17.

#### 3. Find factors of 1275 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 1275 would be the two numbers which, when multiplied, give 1275 as the result.

The following table represents the calculation of factors of 1275 in pairs:

Factor Pair Pair Factorization
1 and 1275 1 x 1275 = 1275
3 and 425 3 x 425 = 1275
5 and 255 5 x 255 = 1275
15 and 85 15 x 85 = 1275
17 and 75 17 x 75 = 1275
25 and 51 25 x 51 = 1275

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 1275. They are called negative pair factors.

Hence, the negative pairs of 1275 would be ( -1 , -1275 ) , ( -3 , -425 ) , ( -5 , -255 ) , ( -15 , -85 ) , ( -17 , -75 ) and ( -25 , -51 ) .

#### 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 1275 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, 15, 17, 25, 51, 75, 85, 255, 425, 1275 are exact divisors of 1275.
• Factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275. Each factor divides 1275 without leaving a remainder.

• How do you find factors of a negative number? ( eg. -1275 )?

Factors of -1275 are -1, -3, -5, -15, -17, -25, -51, -75, -85, -255, -425, -1275.

• What is the sum of all factors of 1275?

The sum of all factors of 1275 is 2232.

• What is prime factorization of 1275?

Prime factorization of 1275 is 3 x 5 x 5 x 17.

• What are the pair factors of 1275?

Pair factors of 1275 are (1,1275), (3,425), (5,255), (15,85), (17,75), (25,51).

• What are six multiples of 1275?

First five multiples of 1275 are 2550, 3825, 5100, 6375, 7650, 8925.

• Is 1275 a whole number?

Yes 1275 is a whole number.

• Which is the smallest prime factor of 1275?

Smallest prime factor of 1275 is 3.

• What are five multiples of 1275?

First five multiples of 1275 are 2550, 3825, 5100, 6375, 7650.

• Write all factors of 1275?

Factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275.

#### Examples of Factors

Joey wants to write all the prime factors of 1275 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1275 are 3, 5, 5, 17.
So in exponential form it can be written as 3 x 52 x 17.

How many factors are there for 1275?

Factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 1275. Can you predict the answer?

11 factor(s) of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425.

Sammy is puzzled while calculating the prime factors of 1275. Can you help him find them?

Factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275.
Prime factors of 1275 are 3, 5, 5, 17

What is prime factorization of 1275?

Prime factorization of 1275 is 3 x 5 x 5 x 17 = 3 x 52 x 17.

Ariel has been assigned the task to find the product of all the prime factors of 1275. Can you help her?

Prime factors of 1275 are 3, 5, 5, 17.
Hence, the product of prime factors of 255.

Can you help Rubel to find out the product of the even factors of 1275?

Factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275.
Even factors of 1275 are 0.
Hence, product of even factors of 1275 is; 0 = 0.