Question

A number has exactly 8 factors, 2 of which are 4 and 26. List all the factors of the number.

Answer 1

Answer:

1, 2, 4, 5, 8, 10, 20, and 40

If 8 is a factor, then so are 2 and 4.

If 20 is a factor, then so are 5 and 10.

1 must be a factor by default.

So the 8 factors are:

1, 2, 4, 5, 8, 10, 20,

Answer 2

Answer:

All 8 factors of the given number are 1,2,4,8,13,26,52,104.

Step-by-step explanation:

Given, numbers has exactly 8 factors and two out of them are 4 and 26.

It is clear that factors of 4 and 26 is also factor of the number.

Now factors of 4 are 1,2,4

and factors of 26 are 1,2,13 and 26.

5 factors of the number are 1,2,4,13,26

It is also clear that factors of the given number 1,2,4,(2×4),13,26,(2×26),(8×13) or 1,2,4,8,13,26,52,104.

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549