Q: What are the factor combinations of the number 155,947,993?

 A:
Positive:   1 x 15594799329 x 53775171423 x 1095913779 x 41267
Negative: -1 x -155947993-29 x -5377517-1423 x -109591-3779 x -41267


How do I find the factor combinations of the number 155,947,993?

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 155,947,993, 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.

1 155,947,993
-1 -155,947,993

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 155,947,993.

Example:
1 x 155,947,993 = 155,947,993
and
-1 x -155,947,993 = 155,947,993
Notice both answers equal 155,947,993

With that explanation out of the way, let's continue. Next, we take the number 155,947,993 and divide it by 2:

155,947,993 ÷ 2 = 77,973,996.5

If the quotient is a whole number, then 2 and 77,973,996.5 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:

1 155,947,993
-1 -155,947,993

Now, we try dividing 155,947,993 by 3:

155,947,993 ÷ 3 = 51,982,664.3333

If the quotient is a whole number, then 3 and 51,982,664.3333 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:

1 155,947,993
-1 -155,947,993

Let's try dividing by 4:

155,947,993 ÷ 4 = 38,986,998.25

If the quotient is a whole number, then 4 and 38,986,998.25 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:

1 155,947,993
-1 155,947,993
Keep dividing by the next highest number until you cannot divide anymore.

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

1291,4233,77941,267109,5915,377,517155,947,993
-1-29-1,423-3,779-41,267-109,591-5,377,517-155,947,993

More Examples

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