Maths How To with Anita # The Factors of 50 and How to find them

Do you need help finding the factors of 50?

I have a bunch of different ways for you to find the factors of any number. You can use factor pairs, factor rainbows and factor trees with or without a calculator.

As a teacher of over 14 years, I know that everyone learns in different ways, so I have a variety of methods for you to find the factors of any number. You can choose the method that works best for you.

Read on to learn how to find the factors of 50.

## What are the Factors of 50?

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

They are the numbers that divide evenly into 50 with no remainder.

## What are the Factor Pairs of 50?

A factor pair is two factors that multiply together to equal the given number, in this case 50.

### Using your calculator to find factors

You can use your calculator to find a factor pair of 50.

Enter 50 divided by 1. See how the answer, 50, is a whole number? This means both 1 and 50 are factors of 50.

Now enter 50 divided by 2 into your calculator and keep going.

Remember you need a whole number as your answer for both numbers to be factors.

### Using the times tables to find factor pairs

Another way to find factor pairs is to use your knowledge of the times tables to think of 2 numbers whose product is 50.

These 2 numbers are factors of 50.

1 x 50 = 50

2 x 25 = 50

5 x 10 = 50

### Using the divisibility tests to find factors

• Every number is divisible by 1.
• Since 50 ends in an even number it is divisible by 2.
• Since the sum of the digits in 50 is 5+0 = 5 which is not divisible by 3, this means 50 is not divisible by 3.
• The divisibility test for 4 is the last 2 digits must be divisible by 4 and 50 is not a multiple of 4 so 4 is not a factor of 50.
• For a number to be divisible by 5 it must end in 5 or 0 which 50 does, so 50 is divisible by 5.
• For a number to be divisible by 6 it must be divisible by both 2 & 3. Even though 50 is divisible by 2 it isn’t divisible by 3, so 50 is not divisible by 6.
• There is no divisibiloty test for 7
• Since 50 is not divisible by both 2 & 4 it is not divisible by 8.
• The sum of the digits in 50 is 5+0 = 5. 5 is not divisible by 9, so 50 is not divisible by 9.
• Since 50 ends in a 0 it is divisible by 10.

### Drawing a Factor Rainbow to find factor pairs

I like to draw a factor rainbow starting with 1 & 50 and working inwards using the divisibility tests to find factor pairs.

Once I got to 5 & 10, I tested 6, 7, 8 & 9 using the divisibility tests and then I knew I had found all the factors.

## Prime factors of 50

I like to draw a factor tree to find the prime factors of a number. Each branch has 2 numbers that multiply together to give the number on top.

There are many possible ways to draw a factor tree for any number.

Here is one way:

Regardless of what way you draw your factor tree, you will still end up with the same prime factors.

I have circled the prime numbers in red.

We can use these to then write 50 as a product of its prime factors also known as the prime factorization of 50.

50 = 2 x 5 x 5

You can write this in index form like this:

## Negative Factors of 50

The negative factors of 50 are 1, -2, -5, -10, -25 & -50.

Both factors need to be negative (or both positive) to give a product of 50 because when you multiply a negative number with a negative number you get 50.

## Final Thoughts on the factors of 50

That’s all for this lesson on how to find the factors of 50. We hope you had as much fun with it as we did!

As always, be sure to practice what you’ve learned so that you can become a factor-finding pro in no time flat. Thanks for reading and see you next time!

## Further Factors!

Factors of 18

Factors of 30

Prime Factorization of 42

Factors of 50

Factors of 64

Factors of 90

Factors of 91

Factors of 96

Factors of 120