How many different natural factors does the number 360 have, including 1 and the number 360 itself?
Show hints
- Factor 360 into prime factors.
- For each degree, count the possible exponents from zero to maximum.
Show the answer and solution
Answer: 24
Factor 360 = 2³ × 3² × 5. The factors in the divisor are chosen in 4, 3 and 2 ways, so the factors are 4 × 3 × 2 = 24.