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Is 84 a prime number?

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

The answer

No. 84 is not a prime number: 2 × 42 = 84.

How to see that 84 is not prime

84 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 84.

84 has 12 factors (1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84), which make 6 factor pairs.

Split 84 into prime factors

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

  1. 84 = 2 × 42
  2. 84 = 2 × 2 × 21
  3. 84 = 2 × 2 × 3 × 7

With repeated primes written as powers, that is 2² × 3 × 7. A small raised number tells you how many times to use that factor: for example, 2³ means 2 × 2 × 2.

84 in the times tables

84 turns up in 2 different times tables, the 7 and 12: 7 × 12 and 12 × 7.

Quick checks that catch 84

  • The last digit, 4, is even, so 2 goes in.
  • The digits add up to 12, which is in the 3 times table, so 3 goes in.
  • Half of it is 42, which is still even, so 4 goes in.
  • It is even and passes the check for 3 as well, so 6 goes in.

84 at a glance

Optional extra number facts:

In words
eighty-four
In Roman numerals
LXXXIV
Odd or even
Even: it ends in 4
Its factors add up to
224, or 140 without 84 itself. 84 is abundant: Abundant means this sum is greater than the number.

The numbers either side of 84

  • 83 is prime: 2, 3, 5 and 7 do not go into it, and 11 × 11 is already past 83. Check 83 in full
  • 85 is not prime. 85 ends in 5, and every number ending in 5 or 0 is in the 5 times table, so 5 is a factor. Check 85 in full

Turn the digits round

84 backwards is 48. 48 is not prime. 48 is even, and every even number can be divided by 2, so 2 is a factor as well as 1 and 48. Check 48 in full

Related pages

More numbers

Questions parents ask

Which prime numbers are either side of 84?

83 below it and 89 above it, a gap of 6.

What is 84 squared?

84 × 84 = 7056.

What is the smallest number with as many factors as 84?

60. It has 12 factors, the same as 84.

Continue your number practice

Explore the diagnostic for another set of practice questions.