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The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.
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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.
\[\frac{3}{8}\]
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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.
\[\frac{13}{125}\]
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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.
\[\frac{129}{2^2 \times 5^7}\]
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State Fundamental Theorem of Arithmetic.
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Write the exponent of 2 in the prime factorization of 144.
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Write the sum of the exponents of prime factors in the prime factorization of 98.
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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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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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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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