5 to the Power of 3 — 5³ = 125

5 to the power of 3 (5³) equals 125. This means 5 x 5 x 5 = 125. Result has 3 digits, prime factorisation 5 x 5 x 5....

5³ = ?

5 TO THE POWER OF 3

125

5³ = 5 × 5 × 5 = 125

Value

125

Base

5

Exponent

3

Number of digits

3

Digit sum

8

Even or odd?

Odd

Divisible by 10?

No

Perfect square?

No

STEP-BY-STEP

1

5³ means multiply 5 by itself 3 times

2

5

5 × 5 = 25

25 × 5 = 125

3

5³ = 125

PRIME FACTORISATION

125 = 5 × 5 × 5

= 5³ (all factors are 5, which is prime)

FUN FACT

125 is a perfect cube. 125 ml is a common spirit measure.

POWERS OF 5 (1 → 3)

5¹
5
5²
25
5³
125

ALL POWERS OF 5 (1–10)

EXPONENT LAWS

5³ × 5= 5⁴ = 625
5³ × 5³= 5⁶ = 15,625
5³ ÷ 5= 5² = 25
√(5³)= 5² = 11.18 (approx)
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HOW TO CALCULATE

  1. 1

    5³ means multiply 5 by itself 3 times.

  2. 2

    Multiplication chain: 5 x 5 x 5 = 125.

  3. 3

    The result is 125 - 3 digits, prime factorisation: 5 x 5 x 5.

  4. 4

    Check: 5² x 5 = 25 x 5 = 125.

WORKED EXAMPLE

5³ = 5 x 5 x 5 = 125. Digits: 3. Prime factors: 5 x 5 x 5.

FREQUENTLY ASKED QUESTIONS

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