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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

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.

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