Fundemental theorem of arithmetic - class-VIII
Description: fundemental theorem of arithmetic | |
Number of Questions: 21 | |
Created by: Vijay Palan | |
Tags: number system rational numbers numbers and sequences real numbers number systems maths real number real numbers (rational and irrational numbers) basic algebra |
In a division sum the divisor is $12$ times the quotient and $5$ times the remainder. If the remainder is $48$ then what is the dividend?
A number $x$ when divided by $7$ leaves a remainder $1$ and another number $y$ when divided by $7$ leaves the remainder $2$. What will be the remainder if $x+y$ is divided by $7$?
Prime factors of $140$ are :
The ........... when multiplied always give a new unique natural number.
Fundamental theorem of arithmetic is also called as ______ Factorization Theorem.
We need blocks to build a building. In the same way _______ are basic blocks to form all natural numbers .
................. states the possibility of the prime factorization of any natural number is unique. The numbers can be multiplied in any order.
Fundamental theorem of arithmetic is basically used for ________
$2\times 2\times 2\times 3\times 3\times 13 = 2^{3} \times 3^{2} \times 13$ is equal to
State true or false of the following.
If a and b are natural numbers and $a < b$, than there is a natural number c such that $a < c < b$.
State true or false of the following.
The predecessor of a two digit number cannot be a single digit number.
The square of any positive odd integer for some integer $ m$ is of the form
We know that any odd positive integer is of the form $4q + 1 $ or $4q + 3$ for some integer $q.$
Thus, we have the following two cases.
If any positive' even integer is of the form 4q or 4q + 2, then q belongs to:
A number when divided by $156$ gives $29$ as remainder. If the same number is divided by $13$ , what will be the remainder?
In a question on division the divisor is $7$ times the quotient and $3 $ times the remainder. If the remainder is $28$ then what is the dividend?
One and only one out of $n, n + 4, n + 8, n + 12\ and \ n + 16 $ is ......(where n is any positive integer)
$n$ is a whole number which when divided by $4$ gives $3 $ as remainder. What will be the remainder when $2n$ is divided by $4$ ?
Sum of digits of the smallest number by which $1440$ should be multiplied so that it becomes a perfect cube is