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How many Positive integers less than 1000 are multiples of 11 whose square roots are whole numbers?

To have a whole number square root, the number is a perfect square. Thus the numbers will be the squares of multiples of 11. Thus the first number will be (1×11) × (1×11) = 11² = 121 The next candidate will be (2×11) × (2×11) = 22² = 484 The next possible candidate will be (3×11) × (3×11) = 33² = 1089 which is too large. Thus there are two multiples of 11 less than 1000 whose square roots are whole numbers, namely 121 (11²) and 484 (22²)


What is The multiples 20 less than 90?

1, 2, 3, 4


What are the multiples of 2 that are less than 30?

The multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, ...


How many positive integers less than 2009 are divisible by 28 but not by 12?

To find the positive integers less than 2009 that are divisible by 28 but not by 12, we need to find the multiples of 28 that are not multiples of 12. The least common multiple of 28 and 12 is 84, so we need to find multiples of 28 that are not multiples of 84. Since 28 = 2^2 * 7 and 84 = 2^2 * 3 * 7, the multiples of 28 that are not multiples of 84 are those that have an odd power of 2. The highest multiple of 28 less than 2009 that satisfies this condition is 1976. Therefore, there are 1976 / 28 = 71 positive integers less than 2009 that are divisible by 28 but not by 12.


Are all multiples of 6 also multiples of 2?

ALL even numbers are multiples of 2... so if there is an uneven multiples of six than they aren't multiple of two.

Related Questions

What is the common multiples of 2 and 11 and less than 50?

22, 44


What are the common multiples of 2 and 11 less than 100?

22, 44, 66, and 88.


What are all the multiples of 4 of 11 that are less than 100?

There are 2 such numbers: 44, 88.


What number is between the square number 1 and 25 that has 2 factors both 66 and 605 are multiples of the number?

The only integer with both those as multiples is 1.The only integer with both those as multiples is 1.The only integer with both those as multiples is 1.The only integer with both those as multiples is 1.


What are All multiples of 2 that are less than 30?

2,4,6,8,10,12,14,16,18,20,22,24,26,and 28


What number is 11 less than 9?

-2 (negative 2)11 less than 9:= 9 - 11= -2


What multiples of 2 are less than 12?

They are: 2 4 6 8 and 10


How many Positive integers less than 1000 are multiples of 11 whose square roots are whole numbers?

To have a whole number square root, the number is a perfect square. Thus the numbers will be the squares of multiples of 11. Thus the first number will be (1×11) × (1×11) = 11² = 121 The next candidate will be (2×11) × (2×11) = 22² = 484 The next possible candidate will be (3×11) × (3×11) = 33² = 1089 which is too large. Thus there are two multiples of 11 less than 1000 whose square roots are whole numbers, namely 121 (11²) and 484 (22²)


What is The multiples 20 less than 90?

1, 2, 3, 4


Which common multiples of 36 and 72 are less than 200?

1 and 2


What are odd multiples of 7 less than fifty 50?

Odd multiples of 7 less than 50 are numbers that are both odd and divisible by 7, and are less than 50. The odd multiples of 7 less than 50 are 7, 21, and 35. These numbers are odd because they are not divisible by 2, and they are multiples of 7 because they can be divided evenly by 7.


What are the multiples of 2 which are less than 50?

The multiples of 2 that are less than 50 are the even numbers from 2 to 48. Specifically, they are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, and 48. In total, there are 24 multiples of 2 less than 50.