The correct answers are:
7, 8 and 9.
Explanation :
We can check divisibility using the rules of divisibility. We will start with the largest single-digit number, 9. The rule for divisibility by 9 is that the sum of the digits is divisible by 9. The digits of 504 add to 5+0+4=9; since 9 is divisible by itself, 504 is divisible by 9.
504/9 = 56; this means we need two single digit numbers that are factors of 56. 56 = 7*8; this means 7 and 8 are our other two numbers.
Find for the 3 single digit number that will be multiplied together to get the product 504.
=> n x n x n = 504 – where n are the single digits that we need to multiply.
504 / 2 = 252
504 / 3 = 168
504 / 4 = 126
504 / 5 = 100.8
504 / 6 = 84
504 / 7 = 72
504 / 8 =63
504 / 9 = 56
Now, let’s have 7 8 9 as 3 numbers to multiply to get 504 as product.
=> 7 x 8 x 9
=> 504
Three single-digit numbers that multiply to give 504 are 7, 8, and 9, as they can be calculated by multiplying together to reach 504. This is confirmed through prime factorization of 504, which results in these three numbers. Therefore, the answer to the problem is 7, 8, and 9.
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