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Is 4 a prime number?

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

The answer

No. 4 is not a prime number: 2 × 2 = 4.

How to see that 4 is not prime

4 is in the 2 times table, so 2 is a factor as well as 1 and 4.

4 has only three factors, 1, 2 and 4: just one more than a prime has, which is still enough to rule it out.

Split 4 into prime factors

4 is 2 × 2: the same prime twice, so its factor tree stops after one split.

4 in the times tables

4 turns up in 2 different times tables, the 2 and 4: 2 × 2 and 4 × 1.

Quick checks that catch 4

  • The last digit, 4, is even, so 2 goes in.
  • Half of it is 2, which is still even, so 4 goes in.

4 at a glance

In words
four
In Roman numerals
IV
Odd or even
Even: it ends in 4
Square number
2 × 2 = 4
Its factors add up to
7, or 3 without 4 itself, which makes 4 a deficient number

The numbers either side of 4

Related pages

More numbers

Questions parents ask

Which prime numbers are either side of 4?

3 below it and 5 above it, a gap of 2.

What is 4 squared?

4 × 4 = 16.

What is the smallest number with as many factors as 4?

4 itself. No smaller number has 3 factors.

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.