How do I find the factors or divisors of the number 43,740?

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 43,740, 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 43,740

Next, we take the number 43,740 and divide it by 2.

In this case, 43,740 ÷ 2 = 21,870

If the quotient is a whole number, then 2 and 21,870 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 21,870 43,740

Now, we try dividing 43,740 by 3.

43,740 ÷ 3 = 14,580

If the quotient is a whole number, then 3 and 14,580 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 14,580 21,870 43,740

Let's try dividing by 4.

43,740 ÷ 4 = 10,935

If the quotient is a whole number, then 4 and 10,935 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 10,935 14,580 21,870 43,740

We keep dividing by the next largest number, in this case the number 5. If the quotient of 43,740 ÷ 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:

1234569101215182027303645546081901081351621802432703244054865407298109721,2151,4581,6202,1872,4302,9163,6454,3744,8607,2908,74810,93514,58021,87043,740

All of the numbers in the table above can be evenly divided into the number 43,740.

Finally, for your reference, here are all of the divisor combinations of the number 43,740:

1 x 437402 x 218703 x 145804 x 109355 x 87486 x 72909 x 486010 x 437412 x 364515 x 291618 x 243020 x 218727 x 162030 x 145836 x 121545 x 97254 x 81060 x 72981 x 54090 x 486108 x 405135 x 324162 x 270180 x 243


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