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Is 42 a prime number?

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

The answer

No. 42 is not a prime number: 2 × 21 = 42.

How to see that 42 is not prime

42 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 42.

42 has 8 factors (1, 2, 3, 6, 7, 14, 21 and 42), which make 4 factor pairs.

Split 42 into prime factors

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

  1. 42 = 2 × 21
  2. 42 = 2 × 3 × 7

42 in the times tables

42 turns up in 2 different times tables, the 6 and 7: 6 × 7 and 7 × 6.

Quick checks that catch 42

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

42 at a glance

In words
forty-two
In Roman numerals
XLII
Odd or even
Even: it ends in 2
Its factors add up to
96, or 54 without 42 itself, which makes 42 an abundant number

The numbers either side of 42

  • 41 is prime: 2, 3 and 5 do not go into it, and 7 × 7 is already past 41. Check 41 in full
  • 43 is prime: 2, 3 and 5 do not go into it, and 7 × 7 is already past 43. Check 43 in full

Turn the digits round

42 backwards is 24. 24 is not prime. 24 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 24. Check 24 in full

Related pages

More numbers

Questions parents ask

Which prime numbers are either side of 42?

41 below it and 43 above it, a gap of 2.

What is 42 squared?

42 × 42 = 1764.

What is the smallest number with as many factors as 42?

24. It has 8 factors, the same as 42.

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.