Problem

Find the prime factorization of the composite number.
590
\[
590=
\]
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Answer

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Answer

\(\boxed{590 = 2 \times 5 \times 59}\)

Steps

Step 1 :The prime factorization of a number is the expression of that number as a product of prime numbers. To find the prime factorization of a number, we start by dividing the number by the smallest prime number, which is 2. If the number is not divisible by 2, we try the next prime number, which is 3, and so on, until we have a prime number. We repeat this process with the quotient obtained until we get 1 as the quotient.

Step 2 :The prime factors of 590 are 2, 5, and 59.

Step 3 :So, the prime factorization of 590 is \(590 = 2 \times 5 \times 59\)

Step 4 :\(\boxed{590 = 2 \times 5 \times 59}\)

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