Advertisements
Advertisements
प्रश्न
Write the exponent of 2 in the price factorization of 144.
Advertisements
उत्तर
Using the factor tree for prime factorization, we have:

`144=2xx2xx2xx2xx3xx3`
`144=2^4xx3^2`
Hence the exponent of 2 in 144 is 4 .
APPEARS IN
संबंधित प्रश्न
Consider the number 6n where n is a natural number. Check whether there is any value of n ∈ N for which 6n is divisible by 7.
Express the number as a product of its prime factor:
140
Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.
Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2m × 5n, where, m, n are non-negative integers.\[\frac{13}{125}\]
Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2m × 5n, where, m, n are non-negative integers.\[\frac{129}{2^2 \times 5^7}\]
If the product of two numbers is 1080 and their HCF is 30, find their LCM.
Express the number as a product of its prime factor:
7429
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
336 and 54
Find the LCM and HCF of the following integers by applying the prime factorisation method.
17, 23 and 29
For some integer p, every even integer is of the form ______.
If two positive integers A and B can be expressed as A = xy3 and B = xiy2z; x, y being prime numbers, the LCM (A, B) is ______.
If two positive integers A and B can be expressed as A = xy3 and B = x4y2z; x, y being prime numbers then HCF (A, B) is ______.
If LCM(x, 18) = 36 and HCF(x, 18) = 2, then x is ______.
For some integer q, every odd integer is of the form ______.
If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is ______.
Let a and b be two positive integers such that a = p3q4 and b = p2q3, where p and q are prime numbers. If HCF (a, b) = pmqn and LCM (a, b) = prqs, then (m + n)(r + s) = ______.
Show the 6n cannot end with digit 0 for any natural number 'n'.
Assertion (A): The HCF of two numbers is 5 and their product is 150. Then their LCM is 40.
Reason(R): For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.
The prime factorisation of the number 5488 is ______.
