What smallest number should be divided to 180 to get a perfect square?
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What smallest number should be divided to 180 to get a perfect square?
lets verify 180÷5 = 36 which is a perfect square.
Does 180 have a perfect square?
180 is not a perfect square as √180 = 6√5. The square root of 180 cannot be expressed as a whole number; it can only be expressed as a non-terminating decimal. Therefore, √180 is an irrational number.
What is the smallest positive integer by which 180 can be multiplied to make it a perfect square?
5
Therefore 180 must be multiplied by 5 to make it a perfect square.
How would you find the smallest square that is a multiple of 180?
We have to find the smallest number by which 180 should be multiplied so as to get a perfect square. To get a perfect square, we have to multiply the factors by 5. Therefore, 180 has to be multiplied by 5 to get a perfect square. The square root of 900 is 30.
Which smallest number 48 must be divided so as to make it a perfect square?
Smallest number by which 48 must be divided to get a perfect square is 3
What is the smallest number by which 1715 should be divided so that the quotient is a perfect cube?
In other words, 1715 should be divided by 5 (the smallest number) so that the quotient is a perfect cube (343).
What is a perfect square factor of 180?
Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180. Factor pairs of 180 are (1,180) (2, 90) (3, 60) (4,45) (5, 36) (6, 30) (9, 20) (10, 18 ) and (12, 15).
IS 180 a perfect square if not then with what least number should it be multiplied so that it becomes a perfect square What would be the square root of this new number?
180 is not perfect square.It should be multiplied by least no. 5 to get perfect square. √900=30.
What is the prime factorization of 180?
Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180. Factor pairs of 180 are (1,180) (2, 90) (3, 60) (4,45) (5, 36) (6, 30) (9, 20) (10, 18 ) and (12, 15)….Factors of 180 in Pairs.
| The product as 180 | Pair factor |
|---|---|
| 180 × 1 = 180 | (180, 1) |
What should we divided by 53240 to make it a perfect cube?
Step-by-step explanation: If we divided the number by 5, then the prime factorisation of the quotient will not contain 5. Hence the smallest number by which 53240 should be divided to make it a perfect cube is 5. The perfect cube in that case is=10648.
What number should we divide 135 to get a perfect cube?
(iii) Prime factorization of 135 is: 135 = 3 × 3 × 3 × 5 = 33 × 5 Here, 5 is the smallest number by which 135 is divided to make a perfect cube, i.e., 135 ÷ 5 = 27 which is a perfect cube.
How do you find the perfect square of 180?
Find the smallest whole number by which 180 should be multiplied, so as to get a perfect square number. Here 3 and 2 are in pair, but 5 needs a pair to make 180 a perfect square. 180 needs to be multiplied by 5 to become a perfect square.
What must be divided by 13 to get a perfect square?
Hence, 2925 must be divide by 13 to make it a perfect square. Find the smallest whole number by which the following number should be divided so as to get a perfect square.Also find the square root of the number so obtained.
How to find the perfect square of 1620 using prime factorization?
Find the smallest whole number by which the following number should be divided so as to get a perfect square.Also find the square root of the number so obtained. Let us find the prime factors of 1620 using the method prime factorization. ‘5’ remains without a pair. Hence, 1620 must be divide by 5 to make it a perfect square.
How do you find the perfect square of 2925?
Find the smallest whole number by which the following number should be divided so as to get a perfect square.Also find the square root of the number so obtained. Let us find the prime factors of 2925 using the method prime factorization. ‘13’ remains without a pair. Hence, 2925 must be divide by 13 to make it a perfect square.