Q: What are the factor combinations of the number 42,244,111?

 A:
Positive:   1 x 422441117 x 603487313 x 324954791 x 464221103 x 410137721 x 585911339 x 315494507 x 9373
Negative: -1 x -42244111-7 x -6034873-13 x -3249547-91 x -464221-103 x -410137-721 x -58591-1339 x -31549-4507 x -9373


How do I find the factor combinations of the number 42,244,111?

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 divisors of larger numbers. To find the factor combinations of the number 42,244,111, it is easier to work with a table - it's called factoring from the outside in.

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. Then, below that, write the numbers as a negative as well.

1 42,244,111
-1 -42,244,111

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 42,244,111.

Example:
1 x 42,244,111 = 42,244,111
and
-1 x -42,244,111 = 42,244,111
Notice both answers equal 42,244,111

With that explanation out of the way, let's continue. Next, we take the number 42,244,111 and divide it by 2:

42,244,111 ÷ 2 = 21,122,055.5

If the quotient is a whole number, then 2 and 21,122,055.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 42,244,111
-1 -42,244,111

Now, we try dividing 42,244,111 by 3:

42,244,111 ÷ 3 = 14,081,370.3333

If the quotient is a whole number, then 3 and 14,081,370.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 42,244,111
-1 -42,244,111

Let's try dividing by 4:

42,244,111 ÷ 4 = 10,561,027.75

If the quotient is a whole number, then 4 and 10,561,027.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 42,244,111
-1 42,244,111
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1713911037211,3394,5079,37331,54958,591410,137464,2213,249,5476,034,87342,244,111
-1-7-13-91-103-721-1,339-4,507-9,373-31,549-58,591-410,137-464,221-3,249,547-6,034,873-42,244,111

More Examples

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