 # Factors Of 50

Factors of 50 are the numbers, which gives the result as 50 when multiplied together in pairs or the numbers which divide 50 completely, without leaving any remainder. For all composite numbers, there exist the factors of them. To find the factors of a number 50, we will use here simple multiplication method. The multiples of 50 are 50, 100, 150, 200, 250, 300, 350, 400, 450 and so on. ## Factors Of 50 in Pairs

We can find the factors of number 50, by multiplying two numbers in a pair to get the original number as 50, such as;

1 × 50 = 50

2 × 25 = 50

5 × 10 = 50

Therefore,

 Factors Of 50 1, 2, 5, 10, 25 and 50

### Prime Factorisation of 50

The number 50 is a composite number. Now let us find the prime factors of 50.

• The first step is to divide the number 50 with the smallest prime factor,i.e. 2.

50 ÷ 2 = 25

• Again, dividing 25 by 2, we get a fraction number 12.5, which is not considered as a factor.
• Now, proceed to the next prime numbers, i.e. 3, 5, 7 and so on

25 ÷ 3 = 8.33, 3 is not a factor of 50

• Divide 25 by 5.

25 ÷ 5 = 5

So, 5 is a factor of 50.

• Now, again by dividing 5 by 5 we get,

5 ÷ 5 = 1

• We have received 1 at the end and further, we cannot proceed with the division method. So, the prime factors of 50 are 2 × 5 × 5 or 2 × 52, where 2 and 5 are the prime numbers.