Advertisements
Advertisements
प्रश्न
The exponent of 2 in the prime factorisation of 144, is
विकल्प
4
5
6
3
उत्तर
Using the factor tree for prime factorization, we have:
Therefore,
`144 =2xx2xx2xx2xx3xx3`
`144=2^4xx3^2`
Thus, the exponent of 2 in 144 is 4.
Hence the correct choice is (a).
APPEARS IN
संबंधित प्रश्न
If a and b are two odd positive integers such that a > b, then prove that one of the two numbers `(a+b)/2` and `(a-b)/2` is odd and the other is even.
Find the HCF of the following pairs of integers and express it as a linear combination of 1288 and 575.
Using Euclid’s algorithm, find the HCF of 960 and 1575 .
Find the smallest number which when increased by 17 is exactly divisible by both 468 and 520
Show that \[2 - \sqrt{3}\] is an irrational number.
The product of any three consecutive natural number is divisible by 6 (True/False).
If n = 23 ✕ 34 ✕ 54 ✕ 7, then the number of consecutive zeros in n, where n is a natural number, is
The sum of the exponents of the prime factors in the prime factorisation of 196, is
If the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF, then the product of two numbers is
Prove that one and only one out of n, n + 2 and n + 4 is divisible by 3, where n is any positive integer.