MEDIUM
Earn 100

Consider the following statements in respect of all factors of 360:

1. The number of factors is 24.

2. The sum of all factors is 1170.

Which of the above statements is/are correct?

50% studentsanswered this correctly

Important Questions on Prime Time

MEDIUM
The number of factors of 3600 is:
EASY
Calculate the total number of prime factors in the expression:

911×57×75×32×172

EASY
When 200 is divided by a positive integer x, the remainder is 8. How many values of x are there?
EASY
Which of the following number is an odd and prime number?
EASY

The prime factorisation of 240 is:

(A) 23×32×5 

(B) 24×32×5

(C) 24×3×5

(D) 25×3×5

 

MEDIUM
Let S be the set of all ordered pairs (x, y) of positive integers satisfying the condition x2-y2=12345678. Then
MEDIUM
When 732 is divided by a positive integer x, the remainder is 12. How many values of x are there?
EASY
Consider the pairs of prime numbers (m, n) between 50 and 100 such that m-n=6. How many such pairs are there?
MEDIUM
How many positive factors of 24 are there?
EASY
How many positive factors of 68 are there?
EASY
The sum of the squares of the digits of the largest two-digit prime number is:
EASY

The total number of factors of 1156 is: 

(A) 9 

(B) 8 

(C) 10 

(D) 11 

EASY
Which of the following is not a pair of prime numbers ?
EASY
One of the factors of 82k+52k, where k is an odd number, is:
EASY
The number of prime numbers which are less than 100 is:
MEDIUM

Consider the number N=126×38×53. Which of the following statements is/are correct?

1. The number of odd factors of N is 60.

2. The number of even factors of N is 720.

Select the correct answer using the code given below:

MEDIUM
One fourth of the sum of the prime numbers, greater than 4 but less than 16, is the square of
MEDIUM

Which of the following statement(s) is/are true?

I. There are 12 multiples of 9 from 7 to 109.

II. There are 9 multiples of 13 from 19 to 119.

EASY

The sum of all the factors of 156 is: 
(A) 392
(B) 235
(C) 390
(D) 379

MEDIUM

What is the number of Prime factor in 1518×410×69.