8 to the power of 3 (8³) equals 512. This means 8 x 8 x 8 = 512. Result has 3 digits, prime factorisation 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2....
8 TO THE POWER OF 3
512
8³ = 8 × 8 × 8 = 512
Value
512
Base
8
Exponent
3
Number of digits
3
Digit sum
8
Even or odd?
Even
Divisible by 10?
No
Perfect square?
No
STEP-BY-STEP
8³ means multiply 8 by itself 3 times
8
8 × 8 = 64
64 × 8 = 512
8³ = 512
PRIME FACTORISATION
512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 8³ (all factors are 8)
SAME VALUE — OTHER BASES
2⁹ = 512
FUN FACT
512 equals 2 to the 9. The original iPhone had 512 MB RAM.
POWERS OF 8 (1 → 3)
ALL POWERS OF 8 (1–10)
EXPONENT LAWS
8³ means multiply 8 by itself 3 times.
Multiplication chain: 8 x 8 x 8 = 512.
The result is 512 - 3 digits, prime factorisation: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2.
Check: 8² x 8 = 64 x 8 = 512.
8³ = 8 x 8 x 8 = 512. Digits: 3. Prime factors: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2. Also: 2⁹ = 512.
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Last updated: April 28, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.