1. Steps to find factors of 482 using Division Method

Example: Find factors of 482

  • Divide 482 by 1: 482 ÷ 1 : Remainder = 0
  • Divide 482 by 2: 482 ÷ 2 : Remainder = 0
  • Divide 482 by 241: 482 ÷ 241 : Remainder = 0
  • Divide 482 by 482: 482 ÷ 482 : Remainder = 0

Hence, Factors of 482 are 1, 2, 241, and 482

2. Steps to find factors of 482 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 482 using the division method, follow these steps:

  • Step 1. Start dividing 482 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 482, which is 2. Divide 482 by 2 to obtain the quotient (241).
    482 ÷ 2 = 241
  • Step 3. Repeat step 1 with the obtained quotient (241).
    241 ÷ 241 = 1

So, the prime factorization of 482 is, 482 = 2 x 241.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 482 as shown below:

So, the prime factorization of 482 is, 482 = 2 x 241.

3. Find factors of 482 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 482 would be the two numbers which, when multiplied, give 482 as the result.

The following table represents the calculation of factors of 482 in pairs:

Factor Pair Pair Factorization
1 and 482 1 x 482 = 482
2 and 241 2 x 241 = 482

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 482. They are called negative pair factors.

Hence, the negative pairs of 482 would be ( -1 , -482 ) , ( -2 , -241 ) .

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 482 is a factor of itself.
  • 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, 2, 241, 482 are exact divisors of 482.
  • 1 is a factor of every number. Eg. 1 is a factor of 482.
  • Every number is a factor of zero (0), since 482 x 0 = 0.

Frequently Asked Questions

  • What are the pair factors of 482?

    Pair factors of 482 are (1,482), (2,241).

  • What are five multiples of 482?

    First five multiples of 482 are 964, 1446, 1928, 2410, 2892.

  • What two numbers make 482?

    Two numbers that make 482 are 2 and 241.

  • What is the sum of all factors of 482?

    The sum of all factors of 482 is 726.

  • What are factors of -482?

    Factors of -482 are -1, -2, -241, -482.

  • What are factors of 482?

    Factors of 482 are 1, 2, 241, 482.

  • Is 482 a perfect square?

    No 482 is not a perfect square.

  • Which is the smallest prime factor of 482?

    Smallest prime factor of 482 is 2.

  • Which is greatest factor of 482?

    The greatest factor of 482 is 241.

Examples of Factors

Can you help Sammy find out the product of the odd factors of 482?

Factors of 482 are 1, 2, 241, 482.
Odd factors of 482 are 1, 241.
Hence product of odd factors of 482 is; 1 x 241 = 241.

Joey wants to write all the prime factors of 482 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 482 are 2, 241.
So in exponential form it can be written as 2 x 241.

How many factors are there for 482?

Factors of 482 are 1, 2, 241, 482.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 482. Can you predict the answer?

3 factor(s) of 482 are 1, 2, 241.

Sammy is puzzled while calculating the prime factors of 482. Can you help him find them?

Factors of 482 are 1, 2, 241, 482.
Prime factors of 482 are 2, 241

What is prime factorization of 482?

Prime factorization of 482 is 2 x 241 = 2 x 241.

Can you help Rubel to find out the product of the even factors of 482?

Factors of 482 are 1, 2, 241, 482.
Even factors of 482 are 2, 482.
Hence, product of even factors of 482 is; 2 x 482 = 964.