1. Steps to find factors of 248 using Division Method

Example: Find factors of 248

  • Divide 248 by 1: 248 ÷ 1 : Remainder = 0
  • Divide 248 by 2: 248 ÷ 2 : Remainder = 0
  • Divide 248 by 4: 248 ÷ 4 : Remainder = 0
  • Divide 248 by 8: 248 ÷ 8 : Remainder = 0
  • Divide 248 by 31: 248 ÷ 31 : Remainder = 0
  • Divide 248 by 62: 248 ÷ 62 : Remainder = 0
  • Divide 248 by 124: 248 ÷ 124 : Remainder = 0
  • Divide 248 by 248: 248 ÷ 248 : Remainder = 0

Hence, Factors of 248 are 1, 2, 4, 8, 31, 62, 124, and 248

2. Steps to find factors of 248 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 248 using the division method, follow these steps:

  • Step 1. Start dividing 248 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 248, which is 2. Divide 248 by 2 to obtain the quotient (124).
    248 ÷ 2 = 124
  • Step 3. Repeat step 1 with the obtained quotient (124).
    124 ÷ 2 = 62
    62 ÷ 2 = 31
    31 ÷ 31 = 1

So, the prime factorization of 248 is, 248 = 2 x 2 x 2 x 31.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 248 as shown below:

So, the prime factorization of 248 is, 248 = 2 x 2 x 2 x 31.

3. Find factors of 248 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 248 would be the two numbers which, when multiplied, give 248 as the result.

The following table represents the calculation of factors of 248 in pairs:

Factor Pair Pair Factorization
1 and 248 1 x 248 = 248
2 and 124 2 x 124 = 248
4 and 62 4 x 62 = 248
8 and 31 8 x 31 = 248

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 248. They are called negative pair factors.

Hence, the negative pairs of 248 would be ( -1 , -248 ) , ( -2 , -124 ) , ( -4 , -62 ) and ( -8 , -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

  • Each number is a factor of itself. Eg. 248 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 248.
  • Every number is a factor of zero (0), since 248 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, 2, 4, 8, 31, 62, 124, 248 are exact divisors of 248.
  • Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248. Each factor divides 248 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 31, 62, 124, 248 are all less than or equal to 248.

Frequently Asked Questions

  • What are the pair factors of 248?

    Pair factors of 248 are (1,248), (2,124), (4,62), (8,31).

  • What are five multiples of 248?

    First five multiples of 248 are 496, 744, 992, 1240, 1488.

  • What two numbers make 248?

    Two numbers that make 248 are 2 and 124.

  • What is the sum of all factors of 248?

    The sum of all factors of 248 is 480.

  • What are factors of -248?

    Factors of -248 are -1, -2, -4, -8, -31, -62, -124, -248.

  • What are factors of 248?

    Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248.

  • Is 248 a perfect square?

    No 248 is not a perfect square.

  • Which is the smallest prime factor of 248?

    Smallest prime factor of 248 is 2.

  • Which is greatest factor of 248?

    The greatest factor of 248 is 124.

Examples of Factors

Can you help Sammy find out the product of the odd factors of 248?

Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248.
Odd factors of 248 are 1, 31.
Hence product of odd factors of 248 is; 1 x 31 = 31.

Joey wants to write all the prime factors of 248 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 248 are 2, 2, 2, 31.
So in exponential form it can be written as 23 x 31.

How many factors are there for 248?

Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 248. Can you predict the answer?

7 factor(s) of 248 are 1, 2, 4, 8, 31, 62, 124.

Sammy is puzzled while calculating the prime factors of 248. Can you help him find them?

Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248.
Prime factors of 248 are 2, 2, 2, 31

What is prime factorization of 248?

Prime factorization of 248 is 2 x 2 x 2 x 31 = 23 x 31.

Can you help Rubel to find out the product of the even factors of 248?

Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248.
Even factors of 248 are 2, 4, 8, 62, 124, 248.
Hence, product of even factors of 248 is; 2 x 4 x 8 x 62 x 124 x 248 = 122023936.