Q: What are the factor combinations of the number 139,488,445?

 A:
Positive:   1 x 1394884455 x 2789768923 x 6064715115 x 1212943
Negative: -1 x -139488445-5 x -27897689-23 x -6064715-115 x -1212943


How do I find the factor combinations of the number 139,488,445?

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 139,488,445, 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.

1 139,488,445
-1 -139,488,445

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 139,488,445.

Example:
1 x 139,488,445 = 139,488,445
and
-1 x -139,488,445 = 139,488,445
Notice both answers equal 139,488,445

With that explanation out of the way, let's continue. Next, we take the number 139,488,445 and divide it by 2:

139,488,445 ÷ 2 = 69,744,222.5

If the quotient is a whole number, then 2 and 69,744,222.5 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:

1 139,488,445
-1 -139,488,445

Now, we try dividing 139,488,445 by 3:

139,488,445 ÷ 3 = 46,496,148.3333

If the quotient is a whole number, then 3 and 46,496,148.3333 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:

1 139,488,445
-1 -139,488,445

Let's try dividing by 4:

139,488,445 ÷ 4 = 34,872,111.25

If the quotient is a whole number, then 4 and 34,872,111.25 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:

1 139,488,445
-1 139,488,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151,212,9436,064,71527,897,689139,488,445
-1-5-23-115-1,212,943-6,064,715-27,897,689-139,488,445

More Examples

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