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The three perfect numbers under 500 are 6, 28, and 496. A perfect number is defined as a positive integer that is equal to the sum of its proper divisors, excluding itself. For example, the divisors of 6 are 1, 2, and 3, which sum to 6; for 28, the divisors are 1, 2, 4, 7, and 14, summing to 28; and for 496, the divisors are 1, 2, 4, 8, 16, 31, 62, 124, and 248, which also sum to 496.
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What are the perfect squares from 1 to 500?
Perfect squares are the result of multiplying integers by themselves: 1 x 1 = 1 2 x 2 = 4 3 x 3 = 9 etc. The perfect squares, above, are the numbers to the right of the equal sign, so just continue until you pass the number 500.
How many perfect cubes are there from 1 to 500?
To find the perfect cubes from 1 to 500, we identify the integers whose cubes are less than or equal to 500. The perfect cubes in this range are (1^3 = 1), (2^3 = 8), (3^3 = 27), (4^3 = 64), (5^3 = 125), (6^3 = 216), and (7^3 = 343). The next integer, (8^3 = 512), exceeds 500. Therefore, there are a total of 7 perfect cubes from 1 to 500.
What 3 prime numbers multiplied equal 500?
You'll need five. 2 x 2 x 5 x 5 x 5 = 500
Can you write every integer as the sum of two nonzero perfect squares?
No.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
How many numbers are there between 200 and 500 that have 7 in the tens place?
3
How many 3 digit numbers are under 500?
The 3 digit numbers under 500 are 100 through 499.
What are the perfect squares from 1 to 500?
Perfect squares are the result of multiplying integers by themselves: 1 x 1 = 1 2 x 2 = 4 3 x 3 = 9 etc. The perfect squares, above, are the numbers to the right of the equal sign, so just continue until you pass the number 500.
How many perfect cubes are there from 1 to 500?
To find the perfect cubes from 1 to 500, we identify the integers whose cubes are less than or equal to 500. The perfect cubes in this range are (1^3 = 1), (2^3 = 8), (3^3 = 27), (4^3 = 64), (5^3 = 125), (6^3 = 216), and (7^3 = 343). The next integer, (8^3 = 512), exceeds 500. Therefore, there are a total of 7 perfect cubes from 1 to 500.
What numbers are not divisible by 2 and 3 under 500?
There are 417 of them and it would take too long to list them all. You could draw up a list of all 500 numbers and then delete each multiple of 6. There are 83 of them.
How many numbers between 1 to 500 is divisible by 3 or 5?
There are 232 numbers between 1 and 500 that are divisible by 3 or 5.
Are 12 3 and 4 perfect numbers?
No.
What 3 prime numbers multiplied equal 500?
You'll need five. 2 x 2 x 5 x 5 x 5 = 500
What numbers do you divide to get 500?
1000 (2)1500 (3)
How many 3 digit numbers between 99 to 500?
400 of them.
What 3 numbers can you multiply to get 500?
1500
The natural numbers are closed under division?
No, the natural numbers are not closed under division. For example, 2 and 3 are natural numbers, but 2/3 is not.
What is the sum of the first 500 numbers?
The sum of the first 500 positive integers is: 1 + 2 + 3 + ... + 498 + 499 + 500 = 125250
