Q: What are the factor combinations of the number 42,655,459?

 A:
Positive:   1 x 426554597 x 609363711 x 387776977 x 55396797 x 439747679 x 628211067 x 399775711 x 7469
Negative: -1 x -42655459-7 x -6093637-11 x -3877769-77 x -553967-97 x -439747-679 x -62821-1067 x -39977-5711 x -7469


How do I find the factor combinations of the number 42,655,459?

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 42,655,459, 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 42,655,459
-1 -42,655,459

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 42,655,459.

Example:
1 x 42,655,459 = 42,655,459
and
-1 x -42,655,459 = 42,655,459
Notice both answers equal 42,655,459

With that explanation out of the way, let's continue. Next, we take the number 42,655,459 and divide it by 2:

42,655,459 ÷ 2 = 21,327,729.5

If the quotient is a whole number, then 2 and 21,327,729.5 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 42,655,459
-1 -42,655,459

Now, we try dividing 42,655,459 by 3:

42,655,459 ÷ 3 = 14,218,486.3333

If the quotient is a whole number, then 3 and 14,218,486.3333 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 42,655,459
-1 -42,655,459

Let's try dividing by 4:

42,655,459 ÷ 4 = 10,663,864.75

If the quotient is a whole number, then 4 and 10,663,864.75 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 42,655,459
-1 42,655,459
Keep dividing by the next highest number until you cannot divide anymore.

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

171177976791,0675,7117,46939,97762,821439,747553,9673,877,7696,093,63742,655,459
-1-7-11-77-97-679-1,067-5,711-7,469-39,977-62,821-439,747-553,967-3,877,769-6,093,637-42,655,459

More Examples

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