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Number 6 is written as sum of two positive integers in three different ways: $6=1+5=2+4=3+3.$ (order does NOT matter). That is, there are exactly three different pairs of positive integers that add to make six. How many pairs of positive integers that add to make 1000?
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There are n different positive integers, each one not greater than 2020, with the property that the sum of any three of them is divisible by 39. Find the greatest possible value of n?
How many two-digit numbers N have the property that the sum of N and the number formed by reversing the digits of N is a perfect square ?The square SAMF has an area of 169. It contains two over lapping squares. The smaller of these sqares has an area that is one quarter of the larger of them, and the erea of their overlap is 4. What is the erea of the shaded region ?In the diagram, each of the integers 1 through 9 is to be placed in one circles, both horizontal and diagonal, add to 18. The 6 and...
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How many two-digit numbers N have the property that the sum of N and the number formed by reversing the digits of N is a perfect square ?The square SAMF has an area of 169. It contains two over lapping squares. The smaller of these sqares has an area that is one quarter of the larger of them, and the erea of their overlap is 4. What is the erea of the shaded region ?In the diagram, each of the integers 1 through 9 is to be placed in one circles, both horizontal and diagonal, add to 18. The 6 and 1 have been filled in as shown. Determine the value of the number represented by x in the diagram. Justify your answerHow many digits does the number 2013 have ?
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If the sum of all the digits in each of two consecutive positive integers are both exactlt multiple of 5. Then what is the least sum of these two integers ?
A. 99 B. 999 C. 9999 D. 99999
How many positive integers less that 200 are relatively prime to either 15 or 24
Find all pairs of positive integers (x;y) satisfy the equation: 1!+2!+3!+.......x!=y2
What is the sum of the positive integers of 30?
every positive integer can be expressed as a sum of distinct of 2. note that 1 and 2 are power of 2. How many three - digit numbers are sums of exactly 9 distinct power of 2
(giúp mk với, mk cần gấp)
Factorial n! means the product of the first integers from 1 to n. What is the least positive integer n such that n! is a multiple of 2015*2016?
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