Q: What are the factor combinations of the number 442,564,735?

 A:
Positive:   1 x 4425647355 x 8851294723 x 19241945103 x 4296745115 x 3848389515 x 8593492369 x 18681511845 x 37363
Negative: -1 x -442564735-5 x -88512947-23 x -19241945-103 x -4296745-115 x -3848389-515 x -859349-2369 x -186815-11845 x -37363


How do I find the factor combinations of the number 442,564,735?

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 442,564,735, 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.

1 442,564,735
-1 -442,564,735

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 442,564,735.

Example:
1 x 442,564,735 = 442,564,735
and
-1 x -442,564,735 = 442,564,735
Notice both answers equal 442,564,735

With that explanation out of the way, let's continue. Next, we take the number 442,564,735 and divide it by 2:

442,564,735 ÷ 2 = 221,282,367.5

If the quotient is a whole number, then 2 and 221,282,367.5 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:

1 442,564,735
-1 -442,564,735

Now, we try dividing 442,564,735 by 3:

442,564,735 ÷ 3 = 147,521,578.3333

If the quotient is a whole number, then 3 and 147,521,578.3333 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:

1 442,564,735
-1 -442,564,735

Let's try dividing by 4:

442,564,735 ÷ 4 = 110,641,183.75

If the quotient is a whole number, then 4 and 110,641,183.75 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:

1 442,564,735
-1 442,564,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15231031155152,36911,84537,363186,815859,3493,848,3894,296,74519,241,94588,512,947442,564,735
-1-5-23-103-115-515-2,369-11,845-37,363-186,815-859,349-3,848,389-4,296,745-19,241,945-88,512,947-442,564,735

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