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How many distinct factors does 1600 have?

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How many distinct factors does 1600 have?

Solution: The factors of 1600 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600 and factors of 967 are 1, 967.

What is the total count of factors of 1600 which are perfect square?

The square root of a number is the number, that gives the original number on squaring. Let us talk about the number 1600, it is an even composite number….Square of 1600: 1600² = 2560000.

1. What Is the Square Root of 1600?
4. FAQs on Square Root of 1600
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How many factors are perfect cubes?

Therefore, number of factors that are perfect cube are (1 + 3/3) * (1 + 3/3) = 4. The factors are 1, 8, 27, and 216.

Is 16000 is a perfect cube?

∴ 16000 is not a perfect cube.

What is the smallest number by which 1600 must be divided so that the quotient is a perfect cube?

We divide it by 5 to make the quotient a perfect cube, which gives 1728 as quotient which is a perfect cube. Hence, 5 is the required smallest number. Hence, 1600 is not a perfect cube. Hence, 25 is the required smallest number.

How many factors does 16000 have?

16,000 (sixteen thousand) is an even five-digits composite number following 15999 and preceding 16001. In scientific notation, it is written as 1.6 × 104. The sum of its digits is 7. It has a total of 10 prime factors and 32 positive divisors.

Is 1600 a perfect square How?

1600 is a perfect square. Because 40 * 40 = 1600.

Is 1600 a perfect cube?

We divide it by 5 to make the quotient a perfect cube, which gives 1728 as quotient which is a perfect cube. Hence, 5 is the required smallest number. Hence, 1600 is not a perfect cube.

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How do you find perfect cubes?

A perfect cube is a number that is obtained by multiplying the same integer three times. For example, multiplying the number 4 three times results in 64. Therefore, 64 is a perfect cube. Therefore, perfect cube = number × number × number.

How many perfect cubes are there between 1 and 1000?

There are 8 perfect cubes between 1 and 1000.

Is 1728 a perfect cube?

It is quite easy to find the cube root of 1728 as it is a perfect cube. Hence, the cube root of 1728 is 12.

What is the perfect cube of 1600?

What is the total number of factors which are perfect cube?

If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have 2 (0 or 3 or 6or 9) —– 4 factors 3 (0 or 3 or 6) —– 3 factors 5 (0 or 3) ——- 2 factors 11 (0 or 3 or 6 ) — 3 factors Hence, the total number of factors which are perfect cube i.e. n(B)=4x3x2x3=72

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What should be multiplied to make 600 a perfect cube?

The number 600 is not a perfect cube as all the prime factors is not a multiple of three. Question 2: What should be multiplied to the number 120 to make it a perfect cube? The factor 2 occurs thrice, 3 and 5 occurs only once. So in order to make it a perfect cube we have to multiply 120 with a square of 3 and 5.

What are the first 10 cube numbers?

The first ten cube numbers are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000. Which are the perfect cubes among these: 27, 9, 400? 27 is the perfect cube. Since 3 x 3 x 3 = 3 3 = 27

How many perfect cubes are there in 2A?

The numbers such as 1, 8, 27, 64, etc. are known as perfect cubes or cube numbers. When a cube is broken or cut, total volume still remains the same. Hence we can observe that to construct a cube of edge length ‘2a’ with cubes of edge length ‘a’ we need to have 8 cubes of edge length a.