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Q.

Find the prime factor of 24


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a

2×3×4

b

 2×2×2×3

c

6×4

d

8×3

answer is B.

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Detailed Solution

Concept-
We must identify the prime factors of the number 24, which when multiplied together yields the number 24. We begin by splitting the number in half using the smallest prime number that can entirely divide 24. Next, write the quotient in the following line and divide the number once more using the smallest prime that entirely divides the integer. To determine the prime factorization of 24, continue in the same manner.
We must identify the prime factors of the number 24, which when multiplied together yields the number 24. We begin by splitting the number in half using the smallest prime number that can entirely divide 24. Next, write the quotient in the following line and divide the number once more using the smallest prime that entirely divides the integer. To determine the prime factorization of 24, continue in the same manner. Once more, we will use the smallest prime that can divide the new quotient in half, and we will repeat this process until we reach 1 as the quotient.
https://lh3.googleusercontent.com/mwBNMAQLZMx14HjfAv5r-6YotTVlzK4GR7yob0p-y8d6pph-u_y1d5Ot6gnLrb6Oy_k-XU4CKGmNTJJJ9oQNqTCrXGPIOt3L45r-SsB-ZWfct-WnY-y_EeEomI2QBPTZfWFX8ZCCuuPbaGj6l96L0QSince all of the elements in this case are prime numbers, multiplying them will result in the number 24.
Hence, the correct answer is 2) 2×2×2×3
 
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