8 to the Power of 4 — 8⁴ = 4,096

8 to the power of 4 (8⁴) equals 4,096. This means 8 x 8 x 8 x 8 = 4,096. Result has 4 digits, prime factorisation 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2....

8 = ?

8 TO THE POWER OF 4

4,096

8 = 8 × 8 × 8 × 8 = 4,096

Value

4,096

Base

8

Exponent

4

Number of digits

4

Digit sum

19

Even or odd?

Even

Divisible by 10?

No

Perfect square?

Yes ✓

STEP-BY-STEP

1

8 means multiply 8 by itself 4 times

2

8

8 × 8 = 64

64 × 8 = 512

512 × 8 = 4,096

3

8 = 4,096

PRIME FACTORISATION

4,096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

= 8 (all factors are 8)

SAME VALUE — OTHER BASES

4⁶ = 4,096

FUN FACT

4096 equals 2 to the 12 and 64 squared.

POWERS OF 8 (1 → 4)

8¹
8
8²
64
8³
512
8
4,096

ALL POWERS OF 8 (1–10)

EXPONENT LAWS

8⁴ × 8= 8⁵ = 32,768
8⁴ × 8⁴= 8⁸ = 16,777,216
8⁴ ÷ 8= 8³ = 512
√(8⁴)= 8² = 64 (exact)
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HOW TO CALCULATE

  1. 1

    8⁴ means multiply 8 by itself 4 times.

  2. 2

    Multiplication chain: 8 x 8 x 8 x 8 = 4,096.

  3. 3

    The result is 4,096 - 4 digits, prime factorisation: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2.

  4. 4

    Check: 8³ x 8 = 512 x 8 = 4,096.

WORKED EXAMPLE

8⁴ = 8 x 8 x 8 x 8 = 4,096. Digits: 4. Prime factors: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2. Also: 4⁶ = 4,096.

FREQUENTLY ASKED QUESTIONS

OTHER BASES TO THE POWER OF 4

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Last updated: April 28, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.