1. Steps to find factors of 50 using Division Method

Example: Find factors of 50

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

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

2. Steps to find factors of 50 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 50 using the division method, follow these steps:

  • Step 1. Start dividing 50 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 50, which is 2. Divide 50 by 2 to obtain the quotient (25).
    50 ÷ 2 = 25
  • Step 3. Repeat step 1 with the obtained quotient (25).
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 50 is, 50 = 2 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 50 as shown below:

So, the prime factorization of 50 is, 50 = 2 x 5 x 5.

3. Find factors of 50 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 50 would be the two numbers which, when multiplied, give 50 as the result.

The following table represents the calculation of factors of 50 in pairs:

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

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 50. They are called negative pair factors.

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

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. 50 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 are exact divisors of 50.
  • 1 is a factor of every number. Eg. 1 is a factor of 50.
  • Every number is a factor of zero (0), since 50 x 0 = 0.

Frequently Asked Questions

  • What are the pair factors of 50?

    Pair factors of 50 are (1,50), (2,25), (5,10).

  • What are five multiples of 50?

    First five multiples of 50 are 100, 150, 200, 250, 300.

  • What two numbers make 50?

    Two numbers that make 50 are 2 and 25.

  • What is the sum of all factors of 50?

    The sum of all factors of 50 is 93.

  • What are factors of -50?

    Factors of -50 are -1, -2, -5, -10, -25, -50.

  • What are factors of 50?

    Factors of 50 are 1, 2, 5, 10, 25, 50.

  • Is 50 a perfect square?

    No 50 is not a perfect square.

  • Which is the smallest prime factor of 50?

    Smallest prime factor of 50 is 2.

  • Which is greatest factor of 50?

    The greatest factor of 50 is 25.

Examples of Factors

Can you help Sammy find out the product of the odd factors of 50?

Factors of 50 are 1, 2, 5, 10, 25, 50.
Odd factors of 50 are 1, 5, 25.
Hence product of odd factors of 50 is; 1 x 5 x 25 = 125.

Joey wants to write all the prime factors of 50 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 50 are 2, 5, 5.
So in exponential form it can be written as 2 x 52.

How many factors are there for 50?

Factors of 50 are 1, 2, 5, 10, 25, 50.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 50. Can you predict the answer?

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

Sammy is puzzled while calculating the prime factors of 50. Can you help him find them?

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

What is prime factorization of 50?

Prime factorization of 50 is 2 x 5 x 5 = 2 x 52.

Can you help Rubel to find out the product of the even factors of 50?

Factors of 50 are 1, 2, 5, 10, 25, 50.
Even factors of 50 are 2, 10, 50.
Hence, product of even factors of 50 is; 2 x 10 x 50 = 1000.