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Three distinct prime factors, eight total.
Well, isn't that a happy little question! To find the smallest number that 7800 must be multiplied by to give a square number, we need to break down 7800 into its prime factors. Once we have those, we can pair them up to form perfect squares. By doing this, we can see that the smallest number 7800 must be multiplied by to give a square number is 3, because when we pair up all the prime factors, we have every factor in pairs except for one factor of 3. And just like that, we've painted a beautiful solution!
To determine the least number that must be multiplied to 21168 to make it a perfect square, we first find its prime factorization: (21168 = 2^4 \times 3^1 \times 11^1). For a number to be a perfect square, all the exponents in its prime factorization must be even. Here, the exponent of 3 and 11 are odd, so we need at least one more factor of each. Thus, we multiply by (3^1 \times 11^1 = 33). Therefore, the least number that must be multiplied to 21168 to make it a perfect square is 33.
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No. A prime number must, itself, be a natural number.No. A prime number must, itself, be a natural number.No. A prime number must, itself, be a natural number.No. A prime number must, itself, be a natural number.
Three distinct prime factors, eight total.
Well, isn't that a happy little question! To find the smallest number that 7800 must be multiplied by to give a square number, we need to break down 7800 into its prime factors. Once we have those, we can pair them up to form perfect squares. By doing this, we can see that the smallest number 7800 must be multiplied by to give a square number is 3, because when we pair up all the prime factors, we have every factor in pairs except for one factor of 3. And just like that, we've painted a beautiful solution!
To determine the least number that must be multiplied to 21168 to make it a perfect square, we first find its prime factorization: (21168 = 2^4 \times 3^1 \times 11^1). For a number to be a perfect square, all the exponents in its prime factorization must be even. Here, the exponent of 3 and 11 are odd, so we need at least one more factor of each. Thus, we multiply by (3^1 \times 11^1 = 33). Therefore, the least number that must be multiplied to 21168 to make it a perfect square is 33.
No. Since 2 is a prime and any number multiplied by an even is even, the product of all primes must be even.
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No. A prime number must, itself, be a natural number.No. A prime number must, itself, be a natural number.No. A prime number must, itself, be a natural number.No. A prime number must, itself, be a natural number.
To determine the smallest number by which 3087 must be multiplied to make it a perfect cube, we first need to find its prime factorization. The prime factorization of 3087 is (3^2 \times 7^1 \times 13^1). For a number to be a perfect cube, all the exponents in its prime factorization must be multiples of 3. Thus, we need to multiply by (3^1 \times 7^2 \times 13^2) to make the exponents of each prime factor a multiple of 3. Therefore, the smallest number to multiply is (3 \times 49 \times 169 = 2457).
To determine the least number that 5202 must be multiplied by to become a perfect square, we first need its prime factorization. The prime factorization of 5202 is (2 \times 3 \times 7 \times 37). For a number to be a perfect square, all primes in its factorization must have even exponents. Here, each prime has an exponent of 1, so we need to multiply by each prime factor once more: (2 \times 3 \times 7 \times 37 = 5202). Therefore, the least number to multiply 5202 by is 5202.
No, factors must be multiplied. The only prime factor of 32 is 2.
It is: 8 because 8*217800 = 1742400 which is a square number
In the prime factorisation of the number, each factor must appear an even number of times.In the prime factorisation of the number, each factor must appear an even number of times.In the prime factorisation of the number, each factor must appear an even number of times.In the prime factorisation of the number, each factor must appear an even number of times.
No. In order for two factors (i.e. two numbers multiplied together) to result in an even number, at least one of the factors must be even. Except for "2" all prime numbers by definition must be odd numbers. 168/2 = 84. 84 is not prime. Therefore you are looking for 2 odd factors of 168. But this is a fruitless search as 2 odd numbers multiplied together will never result in an even number.