Problem

Find the prime factorization of the composite number.
442
\[
442=
\]

Answer

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Answer

Therefore, the prime factorization of 442 is \(2 \times 13 \times 17\).

Steps

Step 1 :First, we need to find the prime factors of 442. We start by dividing 442 by the smallest prime number, which is 2. Since 442 is an even number, it is divisible by 2. So, we get 221.

Step 2 :Next, we try to divide 221 by the next smallest prime number, which is 3. But 221 is not divisible by 3. So, we move on to the next prime number, which is 5. Again, 221 is not divisible by 5.

Step 3 :We continue this process until we find a prime number that can divide 221. That prime number is 13. So, we divide 221 by 13 and get 17.

Step 4 :Finally, we check if 17 is a prime number. Since it is, we have found all the prime factors of 442.

Step 5 :Therefore, the prime factorization of 442 is \(2 \times 13 \times 17\).

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