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(1) Write both numbers as a product of p (1) Is 54 a factor of 648 ? yes consider the numbers 96 and 448 . (1) Write both numbers as a product of (2) Is 448 a multiple of 96? 0 Determine the highest common factor (HCF (2) \( 14 \cdot 15 \)

Ask by Edwards Reeves. in South Africa
Feb 04,2025

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- 54 is a factor of 648. - 96 and 448 can be written as: - 96 = 2⁵ × 3 - 448 = 2⁶ × 7 - 448 is not a multiple of 96. - The HCF of 96 and 448 is 32. - 14 × 15 = 210.

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Mind Expander

To express the numbers 96 and 448 as products of their prime factors, we can start with 96: it can be factored into \( 2^5 \cdot 3 \). Meanwhile, 448 factors into \( 2^6 \cdot 7 \). Both numbers showcase a rich tapestry of prime components that make them unique in their own right! Now, let's tackle whether 448 is a multiple of 96! To determine this, we can perform a simple division: when we divide 448 by 96, we get about 4.67. Since we don’t get a whole number, 448 is not a multiple of 96. It’s always fun to see how numbers dance around each other in multiplication and factors!

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