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If you take the 3 numbers in any consecutive integers and multiply them together to get a new number that new number will always be a multiple of 6 why is this?
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ViviIt has to do with factorials, the lowest 3 consecutive integers are 1, 2, and 3 multiply them together and you get 6, this happens with any number of consecutive integers when you multiply the lowest ones together, the answer is a factor of any of the same number of consecutive integers, i.e. 1x2x3x4x5=120, the same as 56x57x58x59x60=655,381,440 divide that by 120 and you get 5,461,512
Every second number is a multiple of two: 2, 4, 6, 8, etc. Every third number is a multiple of three: 3, 6, 9, 12, etc. So when you take a group of three consecutive integers, you are sure to get at least one multiple of two and one multiple of 3. When you multiply a multiple of two by a multiple of three, you get a multiple of 6.
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Can you multiply 2 consecutive numbers together?
You can multiply any numbers together.
Does product mean add or multiply?
Product= the total of two integers multiplied together Sum= The total of two integers added together
What is the sum of three consecutive integers is 88?
Let's represent the three consecutive integers as x, x+1, and x+2. To find their sum, we add these integers together: x + (x+1) + (x+2) = 88. Simplifying the equation gives us 3x + 3 = 88. Subtracting 3 from both sides and then dividing by 3, we find that x = 28. Therefore, the three consecutive integers are 28, 29, and 30, and their sum is indeed 88.
Is The sum of any three consecutive integers is divisible by 3 Two integers are consecutive if and only if one is one more than the other is this true or false and what would be the counterexample?
Both statements are true.These should really be asked as two separate questions.Yes, the sum of any three consecutive integers is divisible by 3. Call the first number "n", the other two will be "n + 1" and "n + 2". Adding everything together, you get 3n + 3, which is equal to 3(n + 1). Since "n" is a whole number, so is "n + 1", and 3 times as much is a multiple of 3.Two integers are consecutive if one is one more than the other... Well, yes, that's basically the definition of "consecutive".
Are 2 and 1 consecutive odd integers whose sum is 36?
No, they are consecutive but sum means that if you add them together it will equal 36. Also 2 is not odd. The numbers you are looking for are 17 and 19.
