# Factors of 741

Factors of 741 are 1, 3, 13, 19, 39, 57, 247, and 741

#### How to find factors of a number

 1.   Find factors of 741 using Division Method 2.   Find factors of 741 using Prime Factorization 3.   Find factors of 741 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 741

• Divide 741 by 1: 741 ÷ 1 : Remainder = 0
• Divide 741 by 3: 741 ÷ 3 : Remainder = 0
• Divide 741 by 13: 741 ÷ 13 : Remainder = 0
• Divide 741 by 19: 741 ÷ 19 : Remainder = 0
• Divide 741 by 39: 741 ÷ 39 : Remainder = 0
• Divide 741 by 57: 741 ÷ 57 : Remainder = 0
• Divide 741 by 247: 741 ÷ 247 : Remainder = 0
• Divide 741 by 741: 741 ÷ 741 : Remainder = 0

Hence, Factors of 741 are 1, 3, 13, 19, 39, 57, 247, and 741

#### 2. Steps to find factors of 741 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 741 using the division method, follow these steps:

• Step 1. Start dividing 741 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 741, which is 3. Divide 741 by 3 to obtain the quotient (247).
741 ÷ 3 = 247
• Step 3. Repeat step 1 with the obtained quotient (247).
247 ÷ 13 = 19
19 ÷ 19 = 1

So, the prime factorization of 741 is, 741 = 3 x 13 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 741 as shown below:

So, the prime factorization of 741 is, 741 = 3 x 13 x 19.

#### 3. Find factors of 741 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 741 would be the two numbers which, when multiplied, give 741 as the result.

The following table represents the calculation of factors of 741 in pairs:

Factor Pair Pair Factorization
1 and 741 1 x 741 = 741
3 and 247 3 x 247 = 741
13 and 57 13 x 57 = 741
19 and 39 19 x 39 = 741

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 741. They are called negative pair factors.

Hence, the negative pairs of 741 would be ( -1 , -741 ) , ( -3 , -247 ) , ( -13 , -57 ) and ( -19 , -39 ) .

#### 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, 3, 13, 19, 39, 57, 247, 741 are exact divisors of 741.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 741 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 741.

• What are the prime factors of 741?

The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741.
Prime factors of 741 are 3, 13, 19.

• What two numbers make 741?

Two numbers that make 741 are 3 and 247.

• What is the greatest prime factors of 741?

The greatest prime factor of 741 is 19.

• What are factors of 741?

Factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741.

• How do you find factors of a negative number? ( eg. -741 )?

Factors of -741 are -1, -3, -13, -19, -39, -57, -247, -741.

• What are five multiples of 741?

First five multiples of 741 are 1482, 2223, 2964, 3705, 4446.

• Write some multiples of 741?

First five multiples of 741 are 1482, 2223, 2964, 3705.

• Is 741 a perfect square?

No 741 is not a perfect square.

• What two numbers make 741?

Two numbers that make 741 are 3 and 247.

#### Examples of Factors

What is prime factorization of 741?

Prime factorization of 741 is 3 x 13 x 19 = 3 x 13 x 19.

Sammy is puzzled while calculating the prime factors of 741. Can you help him find them?

Factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741.
Prime factors of 741 are 3, 13, 19

Kevin has been asked to write 7 factor(s) of 741. Can you predict the answer?

7 factor(s) of 741 are 1, 3, 13, 19, 39, 57, 247.

Joey wants to write all the prime factors of 741 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 741 are 3, 13, 19.
So in exponential form it can be written as 3 x 13 x 19.

How many factors are there for 741?

Factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 741? Help her in writing all the factors.

Positive factors are 1, 3, 13, 19, 39, 57, 247, 741.
Negative factors are -1, -3, -13, -19, -39, -57, -247, -741.

Can you help Rubel to find out the product of the even factors of 741?

Factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741.
Even factors of 741 are 0.
Hence, product of even factors of 741 is; 0 = 0.