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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.


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8y ago
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8y ago

That is a definition of 1. Any number (except 0) divided by itself equals 1.

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Q: Why is dividing a number by itself the answer will always be 1?
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Related questions

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?

you change all mixed numbers to improper fractions.


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.


When you have any kinds of factors is 1 always there?

Yeah; it's always the number itself and 1.


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.


What number when multiplied always equal to 1?

1 itself, 1 raised to any power will always equal 1


What is y divided by y?

1. Whenever you divide a number by itself, the answer is 1, except when dividing by zero.


What is the square root of 1337 divided by itself?

1, any number that is divided by itself always equals 1