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If the prime factorization of a natural number n is 23 × 32 × 52 × 7, write the number of consecutive zeros in n.
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If the product of two numbers is 1080 and their HCF is 30, find their LCM.
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The sum of a two-digit number and the number formed by reversing the order of digit is 66. If the two digits differ by 2, find the number. How many such numbers are there?
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Express the number as a product of its prime factor:
156
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Express the number as a product of its prime factor:
3825
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Express the number as a product of its prime factor:
5005
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Express the number as a product of its prime factor:
7429
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Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
510 and 92
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Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
336 and 54
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Find the LCM and HCF of the following integers by applying the prime factorisation method.
17, 23 and 29
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Find the LCM and HCF of the following integers by applying the prime factorisation method.
8, 9 and 25
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Show that every positive odd integer is of the form (4q +1) or (4q+3), where q is some integer.
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A fraction becomes `1/3` when 2 is subtracted from the numerator and it becomes `1/2` when 1 is subtracted from the denominator. Find the fraction.
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A fraction becomes `(1)/(3)` when 2 is subtracted from the numerator and it becomes `(1)/(2)` when 1 is subtracted from the denominator. Find the fraction.
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Find all zeros of the polynomial 3x3 + 10x2 − 9x − 4 if one of its zero is 1.
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LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by ______.
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There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. 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?
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Express 98 as a product of its primes.
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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.
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For some integer p, every even integer is of the form ______.
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