Skip to main content

Is 60 a prime number?

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

The answer

No. 60 is not a prime number: 2 × 30 = 60.

How to see that 60 is not prime

60 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 60.

60 has 12 factors (1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60), which make 6 factor pairs.

Split 60 into prime factors

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

  1. 60 = 2 × 30
  2. 60 = 2 × 2 × 15
  3. 60 = 2 × 2 × 3 × 5

With the repeated primes written as powers, that is 2² × 3 × 5.

60 in the times tables

60 turns up in 4 different times tables, the 5, 6, 10 and 12: 5 × 12, 6 × 10, 10 × 6 and 12 × 5.

Quick checks that catch 60

  • The last digit, 0, is even, so 2 goes in.
  • The digits add up to 6, which is in the 3 times table, so 3 goes in.
  • Half of it is 30, which is still even, so 4 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.

60 at a glance

In words
sixty
In Roman numerals
LX
Odd or even
Even: it ends in 0
Multiple of 10
6 tens
Its factors add up to
168, or 108 without 60 itself, which makes 60 an abundant number

The numbers either side of 60

  • 59 is prime: 2, 3, 5 and 7 do not go into it, and 11 × 11 is already past 59. Check 59 in full
  • 61 is prime: 2, 3, 5 and 7 do not go into it, and 11 × 11 is already past 61. Check 61 in full

Related pages

More numbers

Questions parents ask

Which prime numbers are either side of 60?

59 below it and 61 above it, a gap of 2.

What is 60 squared?

60 × 60 = 3600.

What is the smallest number with as many factors as 60?

60 itself. No smaller number has 12 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.