what is the prime factorization of 16 36 and 26 by division method
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Answer:
HCF and LCM are 4 and 144 respectively.
Step-by-step explanation:
Given two numbers 16 and 36
we have to find the LCM and HCF by prime factorization.
Prime factors of 16 and 36 are
16=2\times 2\times 2\times 216=2×2×2×2
36=2\times 2\times 3\times 336=2×2×3×3
\text{The common prime factors are }2\times 2The common prime factors are 2×2
Hence, HCF(16,36)=2\times 2=4HCF(16,36)=2×2=4
LCM(16,36)=\frac{a\times b}{HCF(16,36)}=\frac{16\times 36}{4}=144LCM(16,36)=
HCF(16,36)
a×b
=
4
16×36
=144
HCF and LCM are 4 and 144 respectively.
Step-by-step explanation:
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