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Is 480 a prime number?

No, 480 is not a prime number. It is divisible by 2: 480 = 2 × 240.

Is 480 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 √480 ≈ 21.91. If none of them divides 480, it is prime.

  3. 3

    2 divides 480 exactly, so it is not prime. Its prime factorisation is

    480=25×3×5480 = 2^{5} \times 3 \times 5
LaTeX source of the formulas on this page
\[ 480 = 2^{5} \times 3 \times 5 \]

Testing 480 by the primes up to its square root

PrimeDivisionResult
2480 ÷ 2divides exactly (240)
3480 ÷ 3divides exactly (160)
5480 ÷ 5divides exactly (96)
7480 ÷ 7leaves 4
11480 ÷ 11leaves 7
13480 ÷ 13leaves 12
17480 ÷ 17leaves 4
19480 ÷ 19leaves 5

Questions

Is 480 a prime number?

No, 480 is not a prime number. It is divisible by 2: 480 = 2 × 240.

What is the next prime after 480?

487.

What is the prime number before 480?

479.

What are the factors of 480?

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480.

Nearby numbers

More about 480

    Is 480 a prime number? No, with proof | WordGPT