Q: What are the factors or divisors of the number 43,872?

 A: 12346812162432489645791413711828274236565484731210968146242193643872

How do I find the factors or divisors of the number 43,872?

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 43,872, 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 43,872

Next, we take the number 43,872 and divide it by 2.

In this case, 43,872 ÷ 2 = 21,936

If the quotient is a whole number, then 2 and 21,936 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 21,936 43,872

Now, we try dividing 43,872 by 3.

43,872 ÷ 3 = 14,624

If the quotient is a whole number, then 3 and 14,624 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 14,624 21,936 43,872

Let's try dividing by 4.

43,872 ÷ 4 = 10,968

If the quotient is a whole number, then 4 and 10,968 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 10,968 14,624 21,936 43,872

We keep dividing by the next largest number, in this case the number 5. If the quotient of 43,872 ÷ 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:

1234681216243248964579141,3711,8282,7423,6565,4847,31210,96814,62421,93643,872

All of the numbers in the table above can be evenly divided into the number 43,872.

Finally, for your reference, here are all of the divisor combinations of the number 43,872:

1 x 438722 x 219363 x 146244 x 109686 x 73128 x 548412 x 365616 x 274224 x 182832 x 137148 x 91496 x 457


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