# Factors of 1425

Factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, and 1425

#### How to find factors of a number

 1.   Find factors of 1425 using Division Method 2.   Find factors of 1425 using Prime Factorization 3.   Find factors of 1425 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1425

• Divide 1425 by 1: 1425 ÷ 1 : Remainder = 0
• Divide 1425 by 3: 1425 ÷ 3 : Remainder = 0
• Divide 1425 by 5: 1425 ÷ 5 : Remainder = 0
• Divide 1425 by 15: 1425 ÷ 15 : Remainder = 0
• Divide 1425 by 19: 1425 ÷ 19 : Remainder = 0
• Divide 1425 by 25: 1425 ÷ 25 : Remainder = 0
• Divide 1425 by 57: 1425 ÷ 57 : Remainder = 0
• Divide 1425 by 75: 1425 ÷ 75 : Remainder = 0
• Divide 1425 by 95: 1425 ÷ 95 : Remainder = 0
• Divide 1425 by 285: 1425 ÷ 285 : Remainder = 0
• Divide 1425 by 475: 1425 ÷ 475 : Remainder = 0
• Divide 1425 by 1425: 1425 ÷ 1425 : Remainder = 0

Hence, Factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, and 1425

#### 2. Steps to find factors of 1425 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 1425 using the division method, follow these steps:

• Step 1. Start dividing 1425 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 1425, which is 3. Divide 1425 by 3 to obtain the quotient (475).
1425 ÷ 3 = 475
• Step 3. Repeat step 1 with the obtained quotient (475).
475 ÷ 5 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1

So, the prime factorization of 1425 is, 1425 = 3 x 5 x 5 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1425 as shown below:

So, the prime factorization of 1425 is, 1425 = 3 x 5 x 5 x 19.

#### 3. Find factors of 1425 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 1425 would be the two numbers which, when multiplied, give 1425 as the result.

The following table represents the calculation of factors of 1425 in pairs:

Factor Pair Pair Factorization
1 and 1425 1 x 1425 = 1425
3 and 475 3 x 475 = 1425
5 and 285 5 x 285 = 1425
15 and 95 15 x 95 = 1425
19 and 75 19 x 75 = 1425
25 and 57 25 x 57 = 1425

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 1425. They are called negative pair factors.

Hence, the negative pairs of 1425 would be ( -1 , -1425 ) , ( -3 , -475 ) , ( -5 , -285 ) , ( -15 , -95 ) , ( -19 , -75 ) and ( -25 , -57 ) .

#### 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, 15, 19, 25, 57, 75, 95, 285, 475, 1425 are exact divisors of 1425.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1425 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1425.

• What are the prime factors of 1425?

The factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425.
Prime factors of 1425 are 3, 5, 5, 19.

• What two numbers make 1425?

Two numbers that make 1425 are 3 and 475.

• What is the greatest prime factors of 1425?

The greatest prime factor of 1425 is 19.

• What are factors of 1425?

Factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425.

• How do you find factors of a negative number? ( eg. -1425 )?

Factors of -1425 are -1, -3, -5, -15, -19, -25, -57, -75, -95, -285, -475, -1425.

• What are five multiples of 1425?

First five multiples of 1425 are 2850, 4275, 5700, 7125, 8550.

• Write some multiples of 1425?

First five multiples of 1425 are 2850, 4275, 5700, 7125.

• Is 1425 a perfect square?

No 1425 is not a perfect square.

• What two numbers make 1425?

Two numbers that make 1425 are 3 and 475.

#### Examples of Factors

What is prime factorization of 1425?

Prime factorization of 1425 is 3 x 5 x 5 x 19 = 3 x 52 x 19.

Sammy is puzzled while calculating the prime factors of 1425. Can you help him find them?

Factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425.
Prime factors of 1425 are 3, 5, 5, 19

Kevin has been asked to write 11 factor(s) of 1425. Can you predict the answer?

11 factor(s) of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475.

Joey wants to write all the prime factors of 1425 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1425 are 3, 5, 5, 19.
So in exponential form it can be written as 3 x 52 x 19.

How many factors are there for 1425?

Factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425.
So there are in total 12 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1425? Help her in writing all the factors.

Positive factors are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425.
Negative factors are -1, -3, -5, -15, -19, -25, -57, -75, -95, -285, -475, -1425.

Can you help Rubel to find out the product of the even factors of 1425?

Factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425.
Even factors of 1425 are 0.
Hence, product of even factors of 1425 is; 0 = 0.