1. Steps to find factors of 250 using Division Method

Example: Find factors of 250

  • Divide 250 by 1: 250 ÷ 1 : Remainder = 0
  • Divide 250 by 2: 250 ÷ 2 : Remainder = 0
  • Divide 250 by 5: 250 ÷ 5 : Remainder = 0
  • Divide 250 by 10: 250 ÷ 10 : Remainder = 0
  • Divide 250 by 25: 250 ÷ 25 : Remainder = 0
  • Divide 250 by 50: 250 ÷ 50 : Remainder = 0
  • Divide 250 by 125: 250 ÷ 125 : Remainder = 0
  • Divide 250 by 250: 250 ÷ 250 : Remainder = 0

Hence, Factors of 250 are 1, 2, 5, 10, 25, 50, 125, and 250

2. Steps to find factors of 250 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 250 using the division method, follow these steps:

  • Step 1. Start dividing 250 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 250, which is 2. Divide 250 by 2 to obtain the quotient (125).
    250 ÷ 2 = 125
  • Step 3. Repeat step 1 with the obtained quotient (125).
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 250 is, 250 = 2 x 5 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 250 as shown below:

So, the prime factorization of 250 is, 250 = 2 x 5 x 5 x 5.

3. Find factors of 250 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 250 would be the two numbers which, when multiplied, give 250 as the result.

The following table represents the calculation of factors of 250 in pairs:

Factor Pair Pair Factorization
1 and 250 1 x 250 = 250
2 and 125 2 x 125 = 250
5 and 50 5 x 50 = 250
10 and 25 10 x 25 = 250

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 250. They are called negative pair factors.

Hence, the negative pairs of 250 would be ( -1 , -250 ) , ( -2 , -125 ) , ( -5 , -50 ) and ( -10 , -25 ) .

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 250 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, 5, 10, 25, 50, 125, 250 are exact divisors of 250.
  • 1 is a factor of every number. Eg. 1 is a factor of 250.
  • Every number is a factor of zero (0), since 250 x 0 = 0.

Frequently Asked Questions

  • Which is the smallest prime factor of 250?

    The smallest prime factor of 250 is 2.

  • Is 250 a whole number?

    Yes 250 is a whole number.

  • What are the prime factors of 250?

    The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250.
    Prime factors of 250 are 2, 5, 5, 5.

  • What two numbers make 250?

    Two numbers that make 250 are 2 and 125.

  • What are multiples of 250?

    First five multiples of 250 are 500, 750, 1000, 1250.

  • What is the sum of all factors of 250?

    The sum of all factors of 250 is 468.

  • What are five multiples of 250?

    First five multiples of 250 are 500, 750, 1000, 1250, 1500.

  • Is 250 a perfect square?

    No 250 is not a perfect square.

  • What is the greatest prime factors of 250?

    The greatest prime factor of 250 is 5.

Examples of Factors

How many factors are there for 250?

Factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 250. Can you predict the answer?

7 factor(s) of 250 are 1, 2, 5, 10, 25, 50, 125.

Sammy is puzzled while calculating the prime factors of 250. Can you help him find them?

Factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250.
Prime factors of 250 are 2, 5, 5, 5

What is prime factorization of 250?

Prime factorization of 250 is 2 x 5 x 5 x 5 = 2 x 53.

Ariel has been assigned the task to find the product of all the prime factors of 250. Can you help her?

Prime factors of 250 are 2, 5, 5, 5.
Hence, the product of prime factors of 10.

Can you help Rubel to find out the product of the even factors of 250?

Factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250.
Even factors of 250 are 2, 10, 50, 250.
Hence, product of even factors of 250 is; 2 x 10 x 50 x 250 = 250000.

Joy wants to calculate mean of all the factors of 250. Help him in finding the mean of 250.

Factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 250 is 1 + 2 + 5 + 10 + 25 + 50 + 125 + 250 = 468.
Hence, the mean of factors of 250 is 468 ÷ 8 = 58.50.