To factorise a number, use the factorization formula. Factorization is the process of converting one thing into the product of another thing, or factors, that when multiplied together yield the original number.
Factorization is a mathematical term that refers to a process of dividing down a large integer into smaller numbers that, when multiplied together, return the original number. These figures are divided into factors and divisors. Factorization Formula; N = Xa× Yb × Zc
N stands for a number,
X, Z, and Y are factors of number N
a, c, and b are exponents of factors.
Factorization Formula List
There is a list of formulas which help to solve algebraic equations which are:
(a + b)2 = a2 + 2ab + b2
(a − b)2 = a2− 2ab + b2
(a + b)3=a3 + b3 + 3ab (a + b)
(a – b)3 = a3 – b3 – 3ab (a – b)
(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
(a − b)4 = a4 − 4a3b + 6a2b2 − 4ab3 + b4
(a + b + c)2 = a2 + b2 +c2 + 2ab + 2ac + 2bc
a2 – b2= (a + b) (a – b)
a2 + b2 = (a + b)2 – 2ab
a3 – b3 = (a – b) (a2 + ab + b2)
a3 + b3 = (a + b) (a2 – ab + b2)
a2-625 can be written as
a2-252 which is identical to a2-b2
Hence, (a+25)(a-25) is the factored form of a2-625
What is the prime factorization of 40?
To find the prime factorization of 40 let’s break 40 = 2*2*2*5
Therefore, 40 = 23*5 (Answer)