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lora16 [44]
3 years ago
6

How many positive integers are factors of 55^3 + 66^3?​

Mathematics
2 answers:
ioda3 years ago
6 0

Answer:

55= 1, 5, 11 and 55

3= 1,3

66= 1, 2, 3, 6, 11, 22, 33, 66

Step-by-step explanation:

you just need to find the multiplacation to eah number

Gelneren [198K]3 years ago
6 0

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

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