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Factorization of 120

User Oleg Sych
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3 votes

Answer:

Step-by-step explanation:

120=10*12

120=5*2*4*3

120=5*2*2*2*3

120=(2^3)*3*5

User Dabobert
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1 vote

Final answer:

The factorization of 120 involves dividing by the smallest prime numbers until only prime numbers are left. The prime factorization of 120 is 2³ × 3 × 5.

Step-by-step explanation:

Factorization of 120

To perform the factorization of 120, we can start by finding the smallest prime number that divides 120, which is 2. We divide 120 by 2 and get 60. We continue this process until we cannot divide by primes anymore.

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 is not divisible by 2, but it is divisible by 3, so we divide by 3.

15 ÷ 3 = 5

Now, all the factors we used were prime numbers: 2, 2, 2, and 3, and the final result is 5, which is also a prime number. So, the prime factorization of 120 is 2 × 2 × 2 × 3 × 5, or 2³ × 3 × 5.

User Antnewbee
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