Advertisements
Advertisements
प्रश्न
If p1x1 × p2x2 × p3x3 × p4x4 = 113400 where p1, p2, p3, p4 are primes in ascending order and x1, x2, x3, x4, are integers, find the value of p1, p2, p3, p4 and x1, x2, x3, x4
उत्तर
Given 113400 = p1x1 × p2x2 × p3x3 × p4x4
Using tree method factorise 113400
113400 = 23 × 34 × 52 × 7
compare with
113400 = p1x1 × p2x2 × p3x3 × p4x4
P1 = 2, x1 = 3
P2 = 3, x2 = 4
P3 = 5, x3 = 2
P4 = 7, x4 = 1
APPEARS IN
संबंधित प्रश्न
What is the HCF of the smallest prime number and the smallest composite number?
Determine the prime factorisation of each of the following positive integer:
58500
If the prime factorization of a natural number n is 23 ✕ 32 ✕ 52 ✕ 7, write the number of consecutive zeros in n.
If m, n are natural numbers, for what values of m, does 2n × 5m ends in 5?
If 13824 = 2a × 3b then find a and b
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 ______.
Show that 12n cannot end with the digit 0 or 5 for any natural number n.
Find the HCF and LCM of 72 and 120.
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 2304 is ______.
