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How would you show that every positive integer can be written as the product of a power of 2 and an odd?
Wiki User
∙ 14y ago
If P is a positive integer, then let 2n be the largest power of two that divides P. Then P = Q2n, where Q is the quotient of this division. Clearly Q is odd - for otherwise, 2 would divide Q, which would mean 2n + 1 also divides P, a contradiction.
Wiki User
∙ 14y ago
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Is every integer a natural?
No, but every natural is an integer. Only the positive integers and 0 are natural numbers.
Every negative number is an integer?
No, not every negative number is an integer. For example, -11/2 is not an integer. However, -1, -2, -3, and so on, are negative integers. Perhaps that is what you meant to ask. The negative of every positive integer is a negative integer.
Are irrational numbers negative integers?
No. Every integer, whether negative or positive, is rational.
What is the sum of the first hundred positive odd integers subtracted from sum of the first hundred positive even integer?
Should be 50! Every odd integer is 1 less than the corresponding even integer and there are 50 of each in 100...
Is the absolute value of every integer its opposite?
No. The absolute simply returs the positive of any integer. ABS(6) = 6 and ABS(-6) = 6.
A negative integer times a positive integer equals what?
A negative integer. Every time.
What smallest positive integer divisible by every positive integer less than or equal to 10?
2520
Is every integer a natural?
No, but every natural is an integer. Only the positive integers and 0 are natural numbers.
What is an arbitrary positive integer?
"Arbitrary" simply means any. So this refers to any positive integer. It may be used to make a statement that is true for every positive integer.
Is the least common factor of any two positive integer 1?
Yes it is. One is a factor of every positive integer.
Every negative number is an integer?
No, not every negative number is an integer. For example, -11/2 is not an integer. However, -1, -2, -3, and so on, are negative integers. Perhaps that is what you meant to ask. The negative of every positive integer is a negative integer.
What is the absolute value of every nonzero integer?
Positive
Does every positive integer greater than 10 have an even number of factors?
No.
What is prime factors numbers?
Every positive integer greater than 1 can be expressed as the product of a unique set of prime factors. The count of these factors is the prime factors number for the number.
What is the definition of whole numbers?
Every positive integer including 0 is a whole number.
What number as at least 2 factors?
Every positive integer greater than 1.
Are irrational numbers negative integers?
No. Every integer, whether negative or positive, is rational.
