# Factors of 3675

Factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, and 3675

#### How to find factors of a number

 1.   Find factors of 3675 using Division Method 2.   Find factors of 3675 using Prime Factorization 3.   Find factors of 3675 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 3675

• Divide 3675 by 1: 3675 ÷ 1 : Remainder = 0
• Divide 3675 by 3: 3675 ÷ 3 : Remainder = 0
• Divide 3675 by 5: 3675 ÷ 5 : Remainder = 0
• Divide 3675 by 7: 3675 ÷ 7 : Remainder = 0
• Divide 3675 by 15: 3675 ÷ 15 : Remainder = 0
• Divide 3675 by 21: 3675 ÷ 21 : Remainder = 0
• Divide 3675 by 25: 3675 ÷ 25 : Remainder = 0
• Divide 3675 by 35: 3675 ÷ 35 : Remainder = 0
• Divide 3675 by 49: 3675 ÷ 49 : Remainder = 0
• Divide 3675 by 75: 3675 ÷ 75 : Remainder = 0
• Divide 3675 by 105: 3675 ÷ 105 : Remainder = 0
• Divide 3675 by 147: 3675 ÷ 147 : Remainder = 0
• Divide 3675 by 175: 3675 ÷ 175 : Remainder = 0
• Divide 3675 by 245: 3675 ÷ 245 : Remainder = 0
• Divide 3675 by 525: 3675 ÷ 525 : Remainder = 0
• Divide 3675 by 735: 3675 ÷ 735 : Remainder = 0
• Divide 3675 by 1225: 3675 ÷ 1225 : Remainder = 0
• Divide 3675 by 3675: 3675 ÷ 3675 : Remainder = 0

Hence, Factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, and 3675

#### 2. Steps to find factors of 3675 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 3675 using the division method, follow these steps:

• Step 1. Start dividing 3675 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 3675, which is 3. Divide 3675 by 3 to obtain the quotient (1225).
3675 ÷ 3 = 1225
• Step 3. Repeat step 1 with the obtained quotient (1225).
1225 ÷ 5 = 245
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1

So, the prime factorization of 3675 is, 3675 = 3 x 5 x 5 x 7 x 7.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 3675 as shown below:

So, the prime factorization of 3675 is, 3675 = 3 x 5 x 5 x 7 x 7.

#### 3. Find factors of 3675 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 3675 would be the two numbers which, when multiplied, give 3675 as the result.

The following table represents the calculation of factors of 3675 in pairs:

Factor Pair Pair Factorization
1 and 3675 1 x 3675 = 3675
3 and 1225 3 x 1225 = 3675
5 and 735 5 x 735 = 3675
7 and 525 7 x 525 = 3675
15 and 245 15 x 245 = 3675
21 and 175 21 x 175 = 3675
25 and 147 25 x 147 = 3675
35 and 105 35 x 105 = 3675
49 and 75 49 x 75 = 3675

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 3675. They are called negative pair factors.

Hence, the negative pairs of 3675 would be ( -1 , -3675 ) , ( -3 , -1225 ) , ( -5 , -735 ) , ( -7 , -525 ) , ( -15 , -245 ) , ( -21 , -175 ) , ( -25 , -147 ) , ( -35 , -105 ) and ( -49 , -75 ) .

#### 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 3675 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, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675 are exact divisors of 3675.
• Factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675. Each factor divides 3675 without leaving a remainder.

• What are the prime factors of 3675?

The factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675.
Prime factors of 3675 are 3, 5, 5, 7, 7.

• What two numbers make 3675?

Two numbers that make 3675 are 3 and 1225.

• What is the greatest prime factors of 3675?

The greatest prime factor of 3675 is 7.

• What are factors of 3675?

Factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675.

• How do you find factors of a negative number? ( eg. -3675 )?

Factors of -3675 are -1, -3, -5, -7, -15, -21, -25, -35, -49, -75, -105, -147, -175, -245, -525, -735, -1225, -3675.

• What are five multiples of 3675?

First five multiples of 3675 are 7350, 11025, 14700, 18375, 22050.

• Write some multiples of 3675?

First five multiples of 3675 are 7350, 11025, 14700, 18375.

• Is 3675 a perfect square?

No 3675 is not a perfect square.

• What two numbers make 3675?

Two numbers that make 3675 are 3 and 1225.

#### Examples of Factors

What is prime factorization of 3675?

Prime factorization of 3675 is 3 x 5 x 5 x 7 x 7 = 3 x 52 x 72.

Sammy is puzzled while calculating the prime factors of 3675. Can you help him find them?

Factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675.
Prime factors of 3675 are 3, 5, 5, 7, 7

Kevin has been asked to write 17 factor(s) of 3675. Can you predict the answer?

17 factor(s) of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225.

Joey wants to write all the prime factors of 3675 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 3675 are 3, 5, 5, 7, 7.
So in exponential form it can be written as 3 x 52 x 72.

How many factors are there for 3675?

Factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675.
So there are in total 18 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 3675? Help her in writing all the factors.

Positive factors are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675.
Negative factors are -1, -3, -5, -7, -15, -21, -25, -35, -49, -75, -105, -147, -175, -245, -525, -735, -1225, -3675.

Can you help Rubel to find out the product of the even factors of 3675?

Factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675.
Even factors of 3675 are 0.
Hence, product of even factors of 3675 is; 0 = 0.