Find the prime factorization of 56.

snowlovelydayM 2020-10-20 Answered
Find the prime factorization of 56.
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Expert Answer

berggansS
Answered 2020-10-21 Author has 91 answers
Step 1
Consider the number 56.
Since 56 is an even number, it is divisible by the prime number 2.
Note that, 56=2×28.
We proceed further by factorising composite factors after each step.
Next, we have to consider the factorisation of the composite factor 28 of 56.
Since 28 is an even number, it is divisible by the prime number 2.
Also, 28=2×14.
Substituting 28=2×1456=2×28,wet56=2×2×14.
Step 2
Next, we have to consider the factorisation of the composite factor 14 of 56.
Since 14 is an even number, it is divisible by the prime number 2.
Also, 14=2×7.
Substituting 14=2×756=2×2×14,wet56=2×2×2×7.
Note that, all the factors in the right hand side of 56=2×2×2×7 are primes.
Hence, we stop here.
Note that, 56=2×2×2×7=23×7.
Thus,
56=2×28
=2×2×14
=2×2×2×7
The prime factorisation of 56 is 2×2×2×7or23×7.

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