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Is 162 a prime number?

No, 162 is not a prime number. It is divisible by 2: 162 = 2 × 81.

Is 162 prime?

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    A prime number has exactly two factors: 1 and itself.

  2. 2

    It is enough to test the primes up to √162 ≈ 12.73. If none of them divides 162, it is prime.

  3. 3

    2 divides 162 exactly, so it is not prime. Its prime factorisation is

    162=2×34162 = 2 \times 3^{4}
LaTeX source of the formulas on this page
\[ 162 = 2 \times 3^{4} \]

Testing 162 by the primes up to its square root

PrimeDivisionResult
2162 ÷ 2divides exactly (81)
3162 ÷ 3divides exactly (54)
5162 ÷ 5leaves 2
7162 ÷ 7leaves 1
11162 ÷ 11leaves 8

Questions

Is 162 a prime number?

No, 162 is not a prime number. It is divisible by 2: 162 = 2 × 81.

What is the next prime after 162?

163.

What is the prime number before 162?

157.

What are the factors of 162?

1, 2, 3, 6, 9, 18, 27, 54, 81, 162.

Nearby numbers

More about 162

    Is 162 a prime number? No, with proof | WordGPT