decompose numbers into their prime factorizations

They are prime numbers which are factors of a given number. e.g., Prime factors of 42 = 2 x 3 x..

It can only be divided by one or itself i.e., a prime number has no factors other than 1 and itself. e.g., 2, 3, 5, 7, 11, 13, 17, 19, 23, are examples of prime numbers..

Introduction - The sets of numbers which every student must remember are: The set of natural numbers, The set of whole numbers, The set of integers, The set of rational numbers, The set of irrational numbers, Set of Real Numbers, Consecuti..

Question: What is a prime number? Answer: A number which has only two factors, namely 1 and then number itself is called a prime number..

A number which is a factor of two or more numbers is called a common factor of these numbers. e.g., 4 is a common factor of 16 and ..

Statement - If p(x), a polynomial in x is divided by x-a and the remainder = f (a) is zero, then (x-a) is a factor of p(..

If p(x), a polynomial in x is divided by x-a and the remainder = f (a) is zero, then (x-a) is a factor of p(x..

If a number has a whole number answer when divided by a second number, the first number is divisible by the second number; x is divisible by y if and only if x = qy where y is a whole number. A multiple is the product of any quant..

Recall the following identities for finding the products: ..

Rearrange the terms if necessary. Group the given expression in such a way that each group has its common factor. Identify the HCF of each group. Identify the other factor. Write the expression as a product of the common factor and the other factor..