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That's related with:* The fact that 1 is the identity element of multiplication
* The fact that division is the inverse operation of multiplication.
Take any number, "n" (not equal to zero).
Take the statement that n / n = 1. To get the equivalent multiplication, turn it all around: 1 x n = n.
This is equivalent to stating that 1 is the "identity element" of multiplication.
Wiki User
∙ 8y ago
Wiki User
∙ 8y agoThat is a definition of 1. Any number (except 0) divided by itself equals 1.
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Is the square of a number always bigger than the number itself?
-- When the number itself is bigger than ' 1 ' . . . yes. Always.-- When the number itself is less than ' 1 ' . . . . no. Never.-- When the number itself is ' 1 ', its square is also ' 1 ', so they're equal.
What do factors always start with?
The number 1 and itself.
Why is quotient of a number divide by itself?
Any real number (besides zero) divided by itself is equal to 1. In algebraic terms, if x is a non-zero real number then x/x=1. Zero is the exception because dividing a number by zero is undefined. For example 5 divided by itself is 1. 5/5=1
Could dividing by 2 always produce a number less than the original number?
Dividing by two will always half the original number.
What is the greatest remainder when you divide by 18?
The greatest remainder when dividing by any number is one less than the number itself. The greatest remainder when dividing by 18 is therefore 17. EXAMPLE : 35 ÷ 18 = 1 and remainder 17.
If you subtract a number from itself or divide a number by itself which will give you the largest?
Subtracting a number by itself will leave you with 0, whereas dividing leaves 1. So dividing a number by itself will give the larger result.
What happens when you divide a fraction by itself?
When you divide a fraction by itself, the result is always 1. This is because dividing any number by itself is equal to 1.
Why is the number 1 when you divide itself?
An easy way to think of division is when you are dividing something, you are sharing something into groups. Say you have 3 books. If you share it into 3 groups, you get 1 book in each group. Therefore, whenever a number is divided by itself, the answer is always 1.
What are all of the factors of a prime number?
It is always 1 and the prime number itself.
Is the square of a number always bigger than the number itself?
-- When the number itself is bigger than ' 1 ' . . . yes. Always.-- When the number itself is less than ' 1 ' . . . . no. Never.-- When the number itself is ' 1 ', its square is also ' 1 ', so they're equal.
Why a number is always a factor of itself?
Because a number will divide into itself once 1
What do factors always start with?
The number 1 and itself.
Can 127 be divided evenly?
That depends what you're dividing it into, but, since it is a prime number, it does not divide equally into any number but itself and 1.
When you have any kinds of factors is 1 always there?
Yeah; it's always the number itself and 1.
Numbers that are always factors of every number are?
one (1) and the number itself
What number when multiplied always equal to 1?
1 itself, 1 raised to any power will always equal 1
Why is quotient of a number divide by itself?
Any real number (besides zero) divided by itself is equal to 1. In algebraic terms, if x is a non-zero real number then x/x=1. Zero is the exception because dividing a number by zero is undefined. For example 5 divided by itself is 1. 5/5=1
