# Choose the prime factorization of 120. A)2^{2}*3*10 B)2^{3}*3*5 C)10*12 D)2*5*12

Choose the prime factorization of 120.
A)${2}^{2}\cdot 3\cdot 10$
B)${2}^{3}\cdot 3\cdot 5$
C)10*12
D)2*5*12
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sonSnubsreose6v
Step 1
to find prime factorization
Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers.
Step 2
$120=2×2×2×3×5$
prime factorization of 120
${2}^{3}×3×5$
Step 3

Bertha Jordan
Step 1
As we know,
Prime factorization is a process of factoring a number in term of prime number.
Step 2
Now,
$\therefore 120$
$⇒\frac{120}{2}=60$
$⇒\frac{60}{2}=30$
$⇒\frac{30}{2}=15$
$⇒\frac{15}{3}=5$
5 is prime number
Hence, prime factor of 120 is
=2*2*2*3*5
$={2}^{3}\cdot 3\cdot 5$
$\therefore$ Prime factorization of 120 is ${2}^{3}\cdot 3\cdot 5$.