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What will be the number of zeros in the square of 400?
- a)4
- b)1
- c)3
- d)2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
What will be the number of zeros in the square of 400?a)4b)1c)3d)2Corr...
Square of 400 = 160000
Hence, the number of zeroes is 4
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What will be the number of zeros in the square of 400?a)4b)1c)3d)2Corr...
To find the number of zeros in the square of 400, we need to determine the number of factors of 10 in the product. Since 10 can be expressed as 2 x 5, we need to find the number of factors of 2 and 5 in the product.
Prime factorization of 400:
400 = 2 x 2 x 2 x 2 x 5 x 5
Number of factors of 2 in 400:
We can see that there are four factors of 2 in the prime factorization of 400. So, we have four 2s in the product.
Number of factors of 5 in 400:
There are two factors of 5 in the prime factorization of 400. So, we have two 5s in the product.
Since we need to find the number of factors of 10, which is 2 x 5, we need to determine the minimum of the number of factors of 2 and 5. In this case, we have two factors of 5, which means we can form two pairs of 2 and 5 to get the factors of 10.
Therefore, the number of zeros in the square of 400 is equal to the minimum of the number of factors of 2 and 5, which is 2. So, the correct answer is option A) 2.
Prime factorization of 400:
400 = 2 x 2 x 2 x 2 x 5 x 5
Number of factors of 2 in 400:
We can see that there are four factors of 2 in the prime factorization of 400. So, we have four 2s in the product.
Number of factors of 5 in 400:
There are two factors of 5 in the prime factorization of 400. So, we have two 5s in the product.
Since we need to find the number of factors of 10, which is 2 x 5, we need to determine the minimum of the number of factors of 2 and 5. In this case, we have two factors of 5, which means we can form two pairs of 2 and 5 to get the factors of 10.
Therefore, the number of zeros in the square of 400 is equal to the minimum of the number of factors of 2 and 5, which is 2. So, the correct answer is option A) 2.
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What will be the number of zeros in the square of 400?a)4b)1c)3d)2Correct answer is option 'A'. Can you explain this answer?
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What will be the number of zeros in the square of 400?a)4b)1c)3d)2Correct answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about What will be the number of zeros in the square of 400?a)4b)1c)3d)2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What will be the number of zeros in the square of 400?a)4b)1c)3d)2Correct answer is option 'A'. Can you explain this answer?.
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