Factors of 403

Factors of 403 are 1, 13, 31, and 403

How to find factors of a number

 1.   Find factors of 403 using Division Method 2.   Find factors of 403 using Prime Factorization 3.   Find factors of 403 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

Example: Find factors of 403

• Divide 403 by 1: 403 ÷ 1 : Remainder = 0
• Divide 403 by 13: 403 ÷ 13 : Remainder = 0
• Divide 403 by 31: 403 ÷ 31 : Remainder = 0
• Divide 403 by 403: 403 ÷ 403 : Remainder = 0

Hence, Factors of 403 are 1, 13, 31, and 403

2. Steps to find factors of 403 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 403 using the division method, follow these steps:

• Step 1. Start dividing 403 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 403, which is 13. Divide 403 by 13 to obtain the quotient (31).
403 ÷ 13 = 31
• Step 3. Repeat step 1 with the obtained quotient (31).
31 ÷ 31 = 1

So, the prime factorization of 403 is, 403 = 13 x 31.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 403 as shown below:

So, the prime factorization of 403 is, 403 = 13 x 31.

3. Find factors of 403 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 403 would be the two numbers which, when multiplied, give 403 as the result.

The following table represents the calculation of factors of 403 in pairs:

Factor Pair Pair Factorization
1 and 403 1 x 403 = 403
13 and 31 13 x 31 = 403

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 403. They are called negative pair factors.

Hence, the negative pairs of 403 would be ( -1 , -403 ) , ( -13 , -31 ) .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

• Every number is a factor of zero (0), since 403 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, 13, 31, 403 are exact divisors of 403.
• Factors of 403 are 1, 13, 31, 403. Each factor divides 403 without leaving a remainder.

Frequently Asked Questions

• Which is the smallest prime factor of 403?

The smallest prime factor of 403 is 13.

• Is 403 a whole number?

Yes 403 is a whole number.

• What are the prime factors of 403?

The factors of 403 are 1, 13, 31, 403.
Prime factors of 403 are 13, 31.

• What two numbers make 403?

Two numbers that make 403 are 13 and 31.

• What are multiples of 403?

First five multiples of 403 are 806, 1209, 1612, 2015.

• What is the sum of all factors of 403?

The sum of all factors of 403 is 448.

• What are five multiples of 403?

First five multiples of 403 are 806, 1209, 1612, 2015, 2418.

• Is 403 a perfect square?

No 403 is not a perfect square.

• What is the greatest prime factors of 403?

The greatest prime factor of 403 is 31.

Examples of Factors

How many factors are there for 403?

Factors of 403 are 1, 13, 31, 403.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 403. Can you predict the answer?

3 factor(s) of 403 are 1, 13, 31.

Sammy is puzzled while calculating the prime factors of 403. Can you help him find them?

Factors of 403 are 1, 13, 31, 403.
Prime factors of 403 are 13, 31

What is prime factorization of 403?

Prime factorization of 403 is 13 x 31 = 13 x 31.

Ariel has been assigned the task to find the product of all the prime factors of 403. Can you help her?

Prime factors of 403 are 13, 31.
Hence, the product of prime factors of 403.

Can you help Rubel to find out the product of the even factors of 403?

Factors of 403 are 1, 13, 31, 403.
Even factors of 403 are 0.
Hence, product of even factors of 403 is; 0 = 0.

Joy wants to calculate mean of all the factors of 403. Help him in finding the mean of 403.

Factors of 403 are 1, 13, 31, 403.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 403 is 1 + 13 + 31 + 403 = 448.
Hence, the mean of factors of 403 is 448 ÷ 4 = 112.00.

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