Answer:
10
Step-by-step explanation:
55³ + 66³ =
= (5 × 11)³ + (2 × 3 × 11)³
= 5³ × 11³ + 2³ × 3³ × 11³
= 11³(5³ + 2³ × 3³)
= 11³ × 341
= 11³ × 11 × 31
= 11^4 × 31
The factors are:
1, 11, 31, 11², 11³, 11^4, 11 × 31, 11² × 31, 11³ × 31, 11^4 × 31
The factors are:
1, 11, 31, 121, 341, 1331, 3751, 14641, 41261, 453871
Answer: 10
