# Factors of 3721

Factors of 3721 are 1, 61, and 3721

#### How to find factors of a number

 1.   Find factors of 3721 using Division Method 2.   Find factors of 3721 using Prime Factorization 3.   Find factors of 3721 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 3721

• Divide 3721 by 1: 3721 ÷ 1 : Remainder = 0
• Divide 3721 by 61: 3721 ÷ 61 : Remainder = 0
• Divide 3721 by 3721: 3721 ÷ 3721 : Remainder = 0

Hence, Factors of 3721 are 1, 61, and 3721

#### 2. Steps to find factors of 3721 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 3721 using the division method, follow these steps:

• Step 1. Start dividing 3721 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 3721, which is 61. Divide 3721 by 61 to obtain the quotient (61).
3721 ÷ 61 = 61
• Step 3. Repeat step 1 with the obtained quotient (61).
61 ÷ 61 = 1

So, the prime factorization of 3721 is, 3721 = 61 x 61.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 3721 as shown below:

So, the prime factorization of 3721 is, 3721 = 61 x 61.

#### 3. Find factors of 3721 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 3721 would be the two numbers which, when multiplied, give 3721 as the result.

The following table represents the calculation of factors of 3721 in pairs:

Factor Pair Pair Factorization
1 and 3721 1 x 3721 = 3721
61 and 61 61 x 61 = 3721

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 3721. They are called negative pair factors.

Hence, the negative pairs of 3721 would be ( -1 , -3721 ) , ( -61 , -61 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 61, 3721 are exact divisors of 3721.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 3721 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 3721.

• Is 3721 a perfect square?

Yes 3721 is a perfect square.

• What are factors of 3721?

Factors of 3721 are 1, 61, 3721.

• Which is greatest factor of 3721?

The greatest factor of 3721 is 61.

• What is the sum of all factors of 3721?

The sum of all factors of 3721 is 3783.

• What are multiples of 3721?

First five multiples of 3721 are 7442, 11163, 14884, 18605.

• What is the greatest prime factors of 3721?

The greatest prime factor of 3721 is 61.

• What are six multiples of 3721?

First five multiples of 3721 are 7442, 11163, 14884, 18605, 22326, 26047.

• What is prime factorization of 3721?

Prime factorization of 3721 is 61 x 61.

• Is 3721 a whole number?

Yes 3721 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 3721? Help her in writing all the factors.

Positive factors are 1, 61, 3721.
Negative factors are -1, -61, -3721.

Can you help Sammy find out the product of the odd factors of 3721?

Factors of 3721 are 1, 61, 3721.
Odd factors of 3721 are 1, 61, 3721.
Hence product of odd factors of 3721 is; 1 x 61 x 3721 = 226981.

Joey wants to write all the prime factors of 3721 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 3721 are 61, 61.
So in exponential form it can be written as 612.

How many factors are there for 3721?

Factors of 3721 are 1, 61, 3721.
So there are in total 3 factors.

Kevin has been asked to write 2 factor(s) of 3721. Can you predict the answer?

2 factor(s) of 3721 are 1, 61.

Sammy is puzzled while calculating the prime factors of 3721. Can you help him find them?

Factors of 3721 are 1, 61, 3721.
Prime factors of 3721 are 61, 61

What is prime factorization of 3721?

Prime factorization of 3721 is 61 x 61 = 612.