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Is 50 a prime number?

50 is not a prime number. Here is a way to check it.

The answer

No. 50 is not a prime number: 2 × 25 = 50.

How to see that 50 is not prime

50 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 50.

50 has 6 factors (1, 2, 5, 10, 25 and 50), which make 3 factor pairs.

Split 50 into prime factors

Split off the smallest prime each time, and keep going until every part is prime:

  1. 50 = 2 × 25
  2. 50 = 2 × 5 × 5

With repeated primes written as powers, that is 2 × 5². A small raised number tells you how many times to use that factor: for example, 2³ means 2 × 2 × 2.

50 in the times tables

50 turns up in 2 different times tables, the 5 and 10: 5 × 10 and 10 × 5.

Quick checks that catch 50

  • The last digit, 0, is even, so 2 goes in.
  • It ends in 0, so 5 goes in.
  • It ends in 0, so 10 goes in.

50 at a glance

Optional extra number facts:

In words
fifty
In Roman numerals
L
Odd or even
Even: it ends in 0
Multiple of 10
5 tens
Its factors add up to
93, or 43 without 50 itself. 50 is deficient: Deficient means this sum is less than the number.

The numbers either side of 50

  • 49 is not prime. 49 is odd, its digits do not add up to a multiple of 3, and it does not end in 5, so the quick checks for 2, 3 and 5 all fail. Try 7 next: 7 × 7 = 49. Check 49 in full
  • 51 is not prime. Its digits add up to 5 + 1 = 6, which is a multiple of 3. That means 51 is a multiple of 3 too, so 3 is a factor. Check 51 in full

Related pages

More numbers

Questions parents ask

Which prime numbers are either side of 50?

47 below it and 53 above it, a gap of 6.

What is 50 squared?

50 × 50 = 2500.

What is the smallest number with as many factors as 50?

12. It has 6 factors, the same as 50.

Continue your number practice

Explore the diagnostic for another set of practice questions.