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.
22
504 of course !
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.
5720*5 = 3600SQRT(3600) = 60
The least one-digit number that is a perfect square is 0, as (0^2 = 0). However, if we consider only positive one-digit numbers, then the least perfect square is 1, since (1^2 = 1).
22
It is: 8 because 8*217800 = 1742400 which is a square number
504 of course !
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.
As the question is phrased, the answer is 1/120 which would give the product 1: a perfect square. But the "correct" answer is, presumably, 30.
64: 1, 2, 4, 8, 16, 32, 64Tip: To find the number, consider that if there are an odd number of factors, the number must be a perfect square, because a perfect square has one factor that is multiplied by itself. 64: 1, 2, 4, 8, 16, 32, 64Tip: To find the number, consider that if there are an odd number of factors, the number must be a perfect square, because a perfect square has one factor that is multiplied by itself.
3
5720*5 = 3600SQRT(3600) = 60
STEP 1-First do prime factorization of 3610 STEP 2-Make pairs for each (2 numbers of the same value)STEP 3-The digit which is left alone is the least number to be multiplied by 3601 to make it a perfect square.
17
5607 + 18 = 5625, a perfect square. The perfect square of a square root is the number you started with.
1024