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Table of Contents

- What is the prime factorisation of 3375?
- How do you factor 3375?
- What is the cube root of 3375 by prime factorization method?
- What is the prime power factorization of 13000?
- What are the factors of 1300?
- How many 5 are there in the prime factors of 13000?
- How many 2 are there in the prime factors of 300?
- IS 392 a perfect cube?
- Is 3375 a cube number?
- Is 3375 a perfect square?
- Is 8000 a perfect cube?
- Is 900 a cube number?
- Is 1800 a perfect cube?
- Is 14 a perfect square?
- How many no are perfect cubes from 1 to 1000?
- What is the least number divided by 1800 to make it a perfect square?
- What is the least number to be added to 3000 to make it a perfect square?
- What must be added to make it a perfect square?
- How do you find the least number which must be added?
- What is the least number that must be added to 1056?
- What must be added to 45?
- What must be added to 115580 to make it a perfect square?
- What least number must be added to 526 to make it a perfect square?
- What is the least number which must be added to 78 to get a perfect square?
- What is the smallest number you have to add to 100000 to get a multiple of 1234?
- Is 79 perfect square?
- What is the least number must be added to 6072?

5 is one of the factors! The orange divisor(s) above are the prime factors of the number 3,375. If we put all of it together we have the factors 3 x 3 x 3 x 5 x 5 x 5 = 3,375. It can also be written in exponential form as 33 x 53.

What are the factors of 3375 in 2 pairs?

- 1 × 3375 = 3375.
- 3 × 1125 = 3375.
- 5 × 675 = 3375.
- 9 × 375 = 3375.
- 15 × 225 = 3375.
- 25 × 135 = 3375.
- 27 × 125 = 3375.
- 45 × 75 = 3375.

3√3375 = 15 ∴ Cube root of 3375 is 15.

The orange divisor(s) above are the prime factors of the number 13,000. If we put all of it together we have the factors 2 x 2 x 2 x 5 x 5 x 5 x 13 = 13,000. It can also be written in exponential form as 23 x 53 x 131.

Factors of 1300

- All Factors of 1300: 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650 and 1300.
- Prime Factors of 1300: 2, 5, 13.
- Prime Factorization of 1300: 22 × 52 × 131
- Sum of Factors of 1300: 3038.

Prime number are numbers that can divide without remainder, This means that 13000 is divisible by 2, 2, 2, 5, 5, 5, 13, numbers.

two 2s

Therefore, 392 is not a perfect cube. To make its a cube, we need one more 7. In that case 392 × 7 = 2 × 2 × 2 × 7 × 7 × 7 = 2744 which is a perfect cube. Hence the smallest natural number by which 392 should be multiplied to make a perfect cube is 7.

What is Cube Root of 3375 ? 3375 is said to be a perfect cube because 15 x 15 x 15 is equal to 3375. Since 3375 is a whole number, it is a perfect cube. The nearest previous perfect cube is 2744 and the nearest next perfect cube is 4096 .

A: No, the number 3,375 is not a perfect square.

The value of the cube root of 8000 is 20. As the cube root of 8000 is a whole number, 8000 is a perfect cube. …

Therefore the cube root of 900 is irrational, hence 900 is not a perfect cube.

A perfect cube is an integer where the cube root of it is an integer. Here are the perfect cubes up to 1800: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, Cubes have odd number of factors except any sixth power and a 12th power (12th power is a sixth power), as they are already square numbers.

In mathematics, a square is a product of a whole number with itself. For instance, the product of a number 2 by itself is 4. In this case, 4 is termed as a perfect square. A square of a number is denoted as n × n….Example 1.

Integer | Perfect square |
---|---|

12 x 12 | 144 |

13 x 13 | 169 |

14 x 14 | 196 |

15 x 15 | 225 |

ten

2

25

Solution : From this we come to know that the square root of the given number (1750) lies between 41 and 42. Inorder to convert the given number as the square of 42, we have to add 14. Hence 14 is to be added to to make 41750 as perfect square.

This number is greater than the given number. It means we have to subtract the given number from 6561to get that value which can be added to the number 6412 to make it perfect square. Hence, 149 is the least number which must be added to 6412so as to get a perfect square. The required number is6412+149=6561.

∴ The least number that should be added to 1056, so that the sum is completely divisible by 23 is 2.

90

Take the square root of 28900 and you get 170. Thus 2^2 times 170^2 = 115600, so it looks like one must ADD 20 to 115580 to get a perfect square.

If the answer is 3 .

But, it is given in the question that we have to add some number to 6072 to make it a perfect square. Thus, when we add 12 to 6072, we get 6084, which is a perfect square of 78. Therefore the required number is 12.

1188

79 is not a perfect square.

In order to make 6072 a perfect square, we need to find the nearest square number to 6072. Hence, to make 6072 a perfect square, 12 is to be added.