TheKnockOut
Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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

Sagot :

mathstudent55

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

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.