Advertisements
Advertisements
प्रश्न
State fundamental theorem of arithmetic.
Advertisements
उत्तर
The fundamental theorem of arithmetic, states that every integer greater than 1 either is prime itself or is the product of prime numbers and this product is unique.
APPEARS IN
संबंधित प्रश्न
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
Find HCF and LCM of 404 and 96 and verify that HCF × LCM = Product of the two given numbers.
A merchant has 120 liters of oil of one kind, 180 liters of another kind and 240 liters of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?
Determine the prime factorisation of the following positive integer:
45470971
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = Product of the two numbers.
26 and 91
Find the LCM and HCF of the following integers by applying the prime factorisation method:
84, 90 and 120
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.
\[\frac{3}{8}\]
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
What is the smallest number that when divided by three numbers such as 35, 56 and 91 leaves remainder 7 in each case?
The sum of the exponents of the prime factors in the prime factorization of 1729 is
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.
If LCM(x, 18) = 36 and HCF(x, 18) = 2, then x is ______.
For some integer m, every even integer is of the form ______.
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is ______.
On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?
Show the 6n cannot end with digit 0 for any natural number 'n'.
(HCF × LCM) for the numbers 30 and 70 is ______.
The prime factorisation of the number 2304 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 ______.
