Numbers and Factors

Question 1

Total number of factors

Answer 1

First step factorization
Considering the power of factors
12= 2^2 * 3^1

Second step is add one to the powers and multiply

(2+1)(1+1)

Question 2

Product of factors

Answer 2

Number^total number of factors /2

Question 3

Sum of factors

Answer 3

Open the factors stihl power starts from 0

2^0 + 2^1 + 2^2 ) (3^0+ 3^1) = (1+2+4) (1+3

Question 4

Finding odd factors

Answer 4

(Odd prime power + 1)*
2^2+ 3^1
Consider 3^1 –> (1+1= 2)

Question 5

Total Even factor

Answer 5

Total - odd factor

Question 6

Perfect square

Answer 6

Power of 0 or  multiple of 2
12= 2^0+3^0
        2^1+3^1
        2^2
----------------------
        2*1= 2

Question 7

Perfect cube

Answer 7

Power 0

Question 8

Maximum power and factors

Answer 8

Divide the given number the factors told
Divide until you get to 1

2 n 3 in 10!
10/2 = 5/2 = 2/2 = 1 –> 5+2+1= 8
10/3= 3/3= 1 –> 3+1= 4

Question 9

Number of trailing zeros

Answer 9

Find only powers of five

Question 10

Finding last digit fr 5

Answer 10

25

Question 11

Last digits of odd number

Answer 11

1

Question 12

Finding last digits of even number

Answer 12

Convert it to 2^20

2^205 = (2^20)^10 *(2^5
76)^10 32
(7632)
(2432)

Question 13

a^n +b^n always divisible by a+b if

Answer 13

N is odd

Question 14

a^n -b^n always divisible by a+b if

Answer 14

N is even

Question 15

a^n -b^n always divisible by a-b if

Answer 15

N is odd or even