Q: What are the factors or divisors of the number 41,742?

 A: 123691827547731546231946386957139142087141742

How do I find the factors or divisors of the number 41,742?

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 41,742, 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 41,742

Next, we take the number 41,742 and divide it by 2.

In this case, 41,742 ÷ 2 = 20,871

If the quotient is a whole number, then 2 and 20,871 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 20,871 41,742

Now, we try dividing 41,742 by 3.

41,742 ÷ 3 = 13,914

If the quotient is a whole number, then 3 and 13,914 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 13,914 20,871 41,742

Let's try dividing by 4.

41,742 ÷ 4 = 10,435.5

If the quotient is a whole number, then 4 and 10,435.5 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 13,914 20,871 41,742

We keep dividing by the next largest number, in this case the number 5. If the quotient of 41,742 ÷ 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:

123691827547731,5462,3194,6386,95713,91420,87141,742

All of the numbers in the table above can be evenly divided into the number 41,742.

Finally, for your reference, here are all of the divisor combinations of the number 41,742:

1 x 417422 x 208713 x 139146 x 69579 x 463818 x 231927 x 154654 x 773


More Examples

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