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Is 30 a prime number?

30 is not a prime number. Here is the quickest way to see it.

The answer

No. 30 is not a prime number: 2 × 15 = 30.

How to see that 30 is not prime

30 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 30.

30 has 8 factors (1, 2, 3, 5, 6, 10, 15 and 30), which make 4 factor pairs.

Split 30 into prime factors

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

  1. 30 = 2 × 15
  2. 30 = 2 × 3 × 5

30 in the times tables

30 turns up in 4 different times tables, the 3, 5, 6 and 10: 3 × 10, 5 × 6, 6 × 5 and 10 × 3.

Quick checks that catch 30

  • The last digit, 0, is even, so 2 goes in.
  • The digits add up to 3, which is in the 3 times table, so 3 goes in.
  • It ends in 0, so 5 goes in.
  • It is even and passes the check for 3 as well, so 6 goes in.
  • It ends in 0, so 10 goes in.

30 at a glance

In words
thirty
In Roman numerals
XXX
Odd or even
Even: it ends in 0
Multiple of 10
3 tens
Its factors add up to
72, or 42 without 30 itself, which makes 30 an abundant number

The numbers either side of 30

  • 29 is prime: 2, 3 and 5 do not go into it, and 7 × 7 is already past 29. Check 29 in full
  • 31 is prime: 2, 3 and 5 do not go into it, and 7 × 7 is already past 31. Check 31 in full

Related pages

More numbers

Questions parents ask

Which prime numbers are either side of 30?

29 below it and 31 above it, a gap of 2.

What is 30 squared?

30 × 30 = 900.

What is the smallest number with as many factors as 30?

24. It has 8 factors, the same as 30.

Number facts are the base of 11+ maths

Factors, multiples, primes and square numbers come up all over 11+ maths, from simplifying fractions to ratio. The free diagnostic checks maths, English and both kinds of reasoning, and shows what to practise next. No card is required.