# How can you simplify the following fraction using prime factorization?: #832/644#

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To simplify the fraction ( \frac{832}{644} ) using prime factorization:

- Find the prime factorization of both the numerator and the denominator.
- Cancel out common prime factors from the numerator and denominator.
- Multiply the remaining factors to obtain the simplified fraction.

Prime factorization of 832: [ 832 = 2 \times 2 \times 2 \times 2 \times 13 = 2^4 \times 13 ]

Prime factorization of 644: [ 644 = 2 \times 2 \times 7 \times 23 = 2^2 \times 7 \times 23 ]

Cancel out common prime factors: [ \frac{832}{644} = \frac{2^4 \times 13}{2^2 \times 7 \times 23} ]

[ = \frac{2 \times 2 \times 2 \times 2 \times 13}{2 \times 2 \times 7 \times 23} ]

[ = \frac{2 \times 13}{7 \times 23} ]

[ = \frac{26}{161} ]

Therefore, the simplified form of ( \frac{832}{644} ) using prime factorization is ( \frac{26}{161} ).

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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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