Q: What are the factors or divisors of the number 42,712?

 A: 1248193876152281562112422485339106782135642712

How do I find the factors or divisors of the number 42,712?

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 42,712, 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 42,712

Next, we take the number 42,712 and divide it by 2.

In this case, 42,712 ÷ 2 = 21,356

If the quotient is a whole number, then 2 and 21,356 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 21,356 42,712

Now, we try dividing 42,712 by 3.

42,712 ÷ 3 = 14,237.3333

If the quotient is a whole number, then 3 and 14,237.3333 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 21,356 42,712

Let's try dividing by 4.

42,712 ÷ 4 = 10,678

If the quotient is a whole number, then 4 and 10,678 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 4 10,678 21,356 42,712

We keep dividing by the next largest number, in this case the number 5. If the quotient of 42,712 ÷ 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:

12481938761522815621,1242,2485,33910,67821,35642,712

All of the numbers in the table above can be evenly divided into the number 42,712.

Finally, for your reference, here are all of the divisor combinations of the number 42,712:

1 x 427122 x 213564 x 106788 x 533919 x 224838 x 112476 x 562152 x 281


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