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No. Odd numbers can be written as the sum of consecutive integers, but some multiples of odd numbers are even.

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Q: All multiples of odd natural number can be written as the sum of consecutive natural numbers?
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Why all multiples of odd natural numbers other than multiples of 1 can be written as the sum of consecutive natural numbers?

That isn't true.


What are all of the multiples of all of the 1 digit numbers?

A multiple of a number is that number multiplied by an integer. It is obviously not possible to get "all multiples" of any number. ================================================= There are an infinite number of multiples of any single number. Also, there are an infinite number of quantities written with a single digit. Besides the 19 whole numbers from -9 to +9, there are also all the numbers like .4 and -.0007 . So the answer to your question would consist of an infinite number of lists, with an infinite number of items on each list. We're both slightly busy at the moment. Maybe we'll get back to you.


What is the least number to be added to 9823 so that the result is a multiple of 6?

It is 5 because 9828/6 = 1638 and 6 times 1638 = 9828


What are the multiples of 2 all of them?

The infinite set of numbers of the form n*sqrt(2) where n is any integer. However, since sqrt(2) is one of the factors, there is no obvious reason to restrict the other factor to an integer. In that case, the answer is, at least the infinitely many numbers of the form x*sqrt(2) where x is any real number. But why restrict to real numbers? Why not include complex multiples?


Why is 6 a prime number?

It is the product, not the sum, of three consecutive integers that is divisible by 6. The three consecutive integers must be multiplied, not added.For example, 2+3+4 = 9, which is not evenly divisible by 6.If your first number is odd, then the statement works. Here's why:The first number is odd, so it can be written as 2n+1 for some integer n.The next two numbers are just 2n+2 and 2n+3.Then the sum of the three numbers is:(2n+1) + (2n+2) + (2n+3) = 6n + 6which is obviously divisible by 6 regardless of the number you used for n.For the 'Product of three consecutive integers..." see the Related Question below.

Related questions

Why all multiples of odd natural numbers other than multiples of 1 can be written as the sum of consecutive natural numbers?

That isn't true.


What numbers from 1 to 36 can be written as the sum of consecutive whole numbers?

All the odd numbers.


What are some generalizations of the multiples of 8?

-- All but one of them are greater than 8 . -- All but one of them are written with more than 1 digit. -- All are multiples of 4 . -- All are multiples of 2 . -- All are even numbers. -- All are positive, real, natural, integers.


What number is a multiple of 6 and 12 and has the sum of 9 numbers?

All multiples of 12 are also multiples of 6 and they all can be written as the sum of nine numbers.


What are consecutive digits?

the numbers 0 through 9 written in sequence or any portion of that sequence


Can all odd natural numbers except 1 be written as the sum of two consecuitive natural numbers?

Yes.


How many natural numbers below 1000 can be written as difference of squares of two natural numbers?

All but 251 of them. Any odd number greater than 1 can be written in the form 2n + 1 where n = 1,2,3,... then 2n+1 = (n + 1)2 - n2 Any multiple of 4 can be written as 4n where n = 1,2,3,... then 4n = (n + 1)2 - (n - 1)2 However, unless you allow 1 = 12 - 02 1 cannot be so written as a difference of two squares and odd multiples of 2 cannot be so written. So that is the number 1 and 250 odd multiples of 2: 251 numbers in all. 1 cannot be so written.


Is 6.40 a natural number?

Natural numbers are basically counting numbers including zero (0,1,2,3,4,...) Since 6.40 can be written as a fraction, no, it is not a natural number.


A natural number is a rational number?

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All natural and whole numbers are rational.


A natural number that is not a rational number?

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All natural and whole numbers are rational.


What is a natural number that is not a rational number?

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All natural and whole numbers are rational.


What types of numbers can always be written as the sum of two nonzero consecutive whole numbers?

ODD NUMBERS. If you take two consecutive whole (non zero) numbers then one will be an odd number and the other will be an even number. The sum of an odd number and an even number is always an odd number.