Advertisements
Advertisements
प्रश्न
Determine the prime factorisation of each of the following positive integer:
45470971
Advertisements
उत्तर
`45470971=7^3xx13^2xx17^2xx19`
APPEARS IN
संबंधित प्रश्न
Consider the number 12n where n is a natural number. Check whether there is any value of n ∈ N for which 12n ends with the digital zero.
Find the LCM and HCF of the following integers by applying the prime factorisation method.
12, 15 and 21
Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
Find the LCM and HCF of the following integers by applying the prime factorisation method:
24, 15 and 36
The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.
If the prime factorization of a natural number n is 23 ✕ 32 ✕ 52 ✕ 7, write the number of consecutive zeros in n.
Express the number as a product of its prime factor:
5005
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
510 and 92
Find the least positive value of x such that 89 ≡ (x + 3) (mod 4)
LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by ______.
Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.
The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is ______.
According to the fundamental theorem of arithmetic, if T (a prime number) divides b2, b > 0, then ______.
The ratio of LCM and HCF of the least composite and the least prime numbers is ______.
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is ______.
Show that 12n cannot end with the digit 0 or 5 for any natural number n.
(HCF × LCM) for the numbers 70 and 40 is ______.
The HCF of the smallest 2-digit number and the smallest composite number is ______.
If two positive integers a and b are written as a = x3y2 and b = xy3, where x, y are prime numbers, then the result obtained by dividing the product of the positive integers by the LCM (a, b) is ______.
