# How do you find the prime factorization on 75?

Divide by prime factors to find that

Dividing an integer by its prime factors until the result is a prime is the simplest method for determining its prime factorization.

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Keep on trying to divide by the primes in succession:

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To find the prime factorization of 75, you can follow these steps:

- Begin by dividing the number by the smallest prime number, which is 2.
- Since 75 is not divisible by 2, move on to the next smallest prime number, which is 3.
- Divide 75 by 3. 75 ÷ 3 = 25.
- Now, you need to determine if 25 is divisible by 3. It is not, so proceed to the next prime number.
- The next prime number to check is 5. Divide 25 by 5. 25 ÷ 5 = 5.
- Since 5 is a prime number, you have completed the factorization process.
- Write down the prime factors: 3 × 5 × 5.

Therefore, the prime factorization of 75 is 3 × 5 × 5, or written in exponential form: (3^1 \times 5^2).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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