Q: What are the factors or divisors of the number 42,618?

 A: 12367103142062130942618

How do I find the factors or divisors of the number 42,618?

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 42,618, 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 42,618

Next, we take the number 42,618 and divide it by 2.

In this case, 42,618 ÷ 2 = 21,309

If the quotient is a whole number, then 2 and 21,309 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 21,309 42,618

Now, we try dividing 42,618 by 3.

42,618 ÷ 3 = 14,206

If the quotient is a whole number, then 3 and 14,206 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 14,206 21,309 42,618

Let's try dividing by 4.

42,618 ÷ 4 = 10,654.5

If the quotient is a whole number, then 4 and 10,654.5 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 14,206 21,309 42,618

We keep dividing by the next largest number, in this case the number 5. If the quotient of 42,618 ÷ 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:

12367,10314,20621,30942,618

All of the numbers in the table above can be evenly divided into the number 42,618.

Finally, for your reference, here are all of the divisor combinations of the number 42,618:

1 x 42618
2 x 21309
3 x 14206
6 x 7103


More Examples

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