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How many first 100 positive numbers are divisible by the 3 smallest prime numbers?
Of the first 100 positive numbers, 76 are divisible by the 3 smallest prime numbers. These are 3, 4, 5, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, and 100.
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What is the smallest positive perfect square that is divisible by the four smallest numbers?
The four smallest positive integers are 1, 2, 3, and 4. To find the smallest positive perfect square divisible by these numbers, we first determine their least common multiple (LCM). The LCM of 1, 2, 3, and 4 is 12. The smallest perfect square greater than or equal to 12 is 36, which is (6^2). Thus, the smallest positive perfect square that is divisible by 1, 2, 3, and 4 is 36.
What is the smallest integer that is divisible by the first 10 positive integers?
The smallest integer that is divisible by the first 10 positive integers (1 through 10) is known as the least common multiple (LCM) of those numbers. The LCM of 1 through 10 is 2520. This is found by taking the highest powers of all prime factors present in the factorizations of these integers. Thus, 2520 is the smallest integer divisible by all of them.
What is the least positive integer divisible by each of the first five composite numbers?
The first five composite numbers are 4, 6, 8, 9, and 10. To find the least positive integer divisible by all these numbers, we calculate their least common multiple (LCM). The LCM of 4, 6, 8, 9, and 10 is 360. Therefore, the least positive integer divisible by each of the first five composite numbers is 360.
What is the smallest three digit number divisible by the first three prime number and the first number three composite numbers?
120
What is the smallest positive perfect square that is divisible by 2 3 5 7?
To find the smallest positive perfect square that is divisible by 2, 3, 5, and 7, we first determine the least common multiple (LCM) of these numbers. The LCM is (2^1 \times 3^1 \times 5^1 \times 7^1 = 210). For a number to be a perfect square, all prime factors must have even exponents. Thus, we square the LCM, yielding (210^2 = 44100). Therefore, the smallest positive perfect square that is divisible by 2, 3, 5, and 7 is 44100.
What is the smallest positive integer that is divisible by each of the first ten counting numbers?
2520
What is the smallest positive perfect square that is divisible by the four smallest numbers?
The four smallest positive integers are 1, 2, 3, and 4. To find the smallest positive perfect square divisible by these numbers, we first determine their least common multiple (LCM). The LCM of 1, 2, 3, and 4 is 12. The smallest perfect square greater than or equal to 12 is 36, which is (6^2). Thus, the smallest positive perfect square that is divisible by 1, 2, 3, and 4 is 36.
What is the smallest number divisible by 4 prime numbers?
The smallest number divisible by first four prime numbers is 2x3x5x7 = 210.
What is the smallest number divisible by the first three prime numbers?
The first three prime numbers are 2,3,5. The smallest number divisible by 2,3 and 5 is 30 (2*3*5).
What is the smallest integer that is divisible by the first 10 positive integers?
The smallest integer that is divisible by the first 10 positive integers (1 through 10) is known as the least common multiple (LCM) of those numbers. The LCM of 1 through 10 is 2520. This is found by taking the highest powers of all prime factors present in the factorizations of these integers. Thus, 2520 is the smallest integer divisible by all of them.
What is the smallest number which is exactly divisible by all the numbers from 1-10?
11
What is the smallest three-digit number divisible by the first three prime numbers and the first three composite numbers?
The smallest three-digit number divisible by the first three prime numbers (2, 3, and 5) and the first three composite numbers (4, 6, and 8) is 120.
What is the smallest composite number that is divisible by the first five prime numbers?
2310
What is the smallest counting number that is divisible by the first 10 composite numbers?
It is 2520.
What is the smallest counting number divisible by the first ten composite numbers?
2520
What is the least positive number that is divisible by three different primes?
30, which is the smallest positive integer divisible by the first three primes: 2, 3 and 5.
What is the smallest number divisible by the first three prime numbers and the first three composite numbers explain?
the answer is 120 because the first three prime numbers are 2,3,5 and the first three composite numbers are 4,6,8.
