How do I find the factors or divisors of the number 47,040?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the factors of larger numbers. To find the factors of the number 47,040, it is easiest to start from the outside in. Here's what we mean:

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table.

1 47,040

Next, we take the number 47,040 and divide it by 2.

In this case, 47,040 ÷ 2 = 23,520

If the quotient is a whole number, then 2 and 23,520 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 23,520 47,040

Now, we try dividing 47,040 by 3.

47,040 ÷ 3 = 15,680

If the quotient is a whole number, then 3 and 15,680 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2 3 15,680 23,520 47,040

Let's try dividing by 4.

47,040 ÷ 4 = 11,760

If the quotient is a whole number, then 4 and 11,760 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2 3 4 11,760 15,680 23,520 47,040

We keep dividing by the next largest number, in this case the number 5. If the quotient of 47,040 ÷ 5 is a whole number, then 5 and your quotient are factors of the number.


Keep dividing by the next highest number until you cannot divide anymore.


What you will end up with is this table:

123456781012141516202124283032354042484956606470808496981051121201401471601681921962102242402452802943203363924204484804905605886727357848409609801,1201,1761,3441,4701,5681,6801,9602,2402,3522,9403,1363,3603,9204,7045,8806,7207,8409,40811,76015,68023,52047,040

All of the numbers in the table above can be evenly divided into the number 47,040.

Finally, for your reference, here are all of the divisor combinations of the number 47,040:

1 x 470402 x 235203 x 156804 x 117605 x 94086 x 78407 x 67208 x 588010 x 470412 x 392014 x 336015 x 313616 x 294020 x 235221 x 224024 x 196028 x 168030 x 156832 x 147035 x 134440 x 117642 x 112048 x 98049 x 96056 x 84060 x 78464 x 73570 x 67280 x 58884 x 56096 x 49098 x 480105 x 448112 x 420120 x 392140 x 336147 x 320160 x 294168 x 280192 x 245196 x 240210 x 224


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