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When is the product of two nonzero integers less than or equal of the two factors?
When one of the numbers is positive and the other is negative.
What is the link between the product of any four consecutive positive integers and some square numbers?
The product of four consecutive integers is always one less than a perfect square. The product of four consecutive integers starting with n will be one less than the square of n2 + 3n + 1
When is the product of 2 integers less than or equal than to both of two factors?
That happens when only one of the two integers is negative.
What is a counterexample to this conjecture the sum of any two integers that are greater then 1 is less then their product?
A counterexample to the conjecture that the sum of any two integers greater than 1 is less than their product is the pair (2, 2). The sum of these integers is 2 + 2 = 4, while their product is 2 × 2 = 4. Here, the sum equals the product, demonstrating that the conjecture does not hold for all integers greater than 1.
Find 4 consecutive even integers where the product of the two smaller numbers is 72 less than the product of the larger two integers?
They are 6, 8, 10 and 12.
When is the product of two nonzero integers less than or equal of the two factors?
When one of the numbers is positive and the other is negative.
What is the link between the product of any four consecutive positive integers and some square numbers?
The product of four consecutive integers is always one less than a perfect square. The product of four consecutive integers starting with n will be one less than the square of n2 + 3n + 1
Find four consecutive odd integers if the product of the two smaller integers is 112 less than the product of the two large integers?
The numbers are 11, 13, 15 and 17.
When is the product of 2 integers less than or equal than to both of two factors?
That happens when only one of the two integers is negative.
What is a counterexample to this conjecture the sum of any two integers that are greater then 1 is less then their product?
A counterexample to the conjecture that the sum of any two integers greater than 1 is less than their product is the pair (2, 2). The sum of these integers is 2 + 2 = 4, while their product is 2 × 2 = 4. Here, the sum equals the product, demonstrating that the conjecture does not hold for all integers greater than 1.
Find 4 consecutive even integers where the product of the two smaller numbers is 72 less than the product of the larger two integers?
They are 6, 8, 10 and 12.
What is the integer if the product of two consecutive positive odd integers is one less than three times their sum?
The integers are 5 and 7.
What is the sum of all positive integers less than 100 that have the product of their digits equal to 4?
81
If the largest of three consecutive even integers is multiplied by three the product is 2 less than twice the sum of the first two integers find the integers?
The answer would be 10 12 and 14... 14 x 3 = 42 and 2(10 + 12) = 44. So the product of the largest integer and three is two less than twice the sum of the lower integers.
When is the product of two integers less than or equal to both of the factors?
When one of the factors is less than or equal to 1, and the other is positive. Examples: 1 x 9 = 9 0 x 5 = 0 -1 x 10 = -10 If both are negative, it doesn't work: -10 x -10 = +100
What are 4 consecutive odd integers where the product of the two smaller integers is 112 less than the product of the two larger integers?
11, 13, 15 and 17(143 is 112 less than 255)The equation is (A)(A+2) = (A+4)(A+6) - 112A2 + 2A = A2 +10A +24 -1122A = 10A - 888A = 88A = 112,5,6
When one factor in a multiplication problem is less than one is the product greater or less than the other one?
When one factor is less than one, the product will be less than the other factor.
