Question

prime factorization of 4489​

Answer 1

67 is one of the factors! The orange divisor(s) above are the prime factors of the number 4,489. If we put all of it together we have the factors 67 x 67 = 4,489. It can also be written in exponential form as 672.

Answer 2

Answer -

$\begin{array} {r | l}</p><p> 67 & 4489\\</p><p>\cline{2-2} 67 & 67\\</p><p>\cline{2-2} & 1\\</p><p>\end{array}$

Extra information-

» Product of two numbers = L.C.M × H.C.F

» LCM = least common multiple

ex -

lcm of 12 and 36

$\begin{array} {r | l}</p><p> 2 & 12,36\\</p><p>\cline{2-2} 2 & 6,18\\</p><p>\cline{2-2} 2 & 3,9\\</p><p>\cline{2-2} 3 & 1,3\\</p><p>\cline{2-2} & 1,1\\</p><p>\end{array}$

lcm = 2×2×3×3

lcm of 12 and 36 = 36

» HCF = highest common factor

HCF of 12 and 36

$\begin{array} {r | l}</p><p> 2 & 12,36\\</p><p>\cline{2-2} 2 & 6,18\\</p><p>\cline{2-2} 2 & 3,9\\</p><p>\cline{2-2} 3 & 1,3\\</p><p>\end{array}$

HCF = 2×2×3 = 12

HCF of 12 and 36 = 12.