Q: What are the factor combinations of the number 155,840,693?

 A:
Positive:   1 x 15584069329 x 537381779 x 19726672291 x 68023
Negative: -1 x -155840693-29 x -5373817-79 x -1972667-2291 x -68023


How do I find the factor combinations of the number 155,840,693?

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 155,840,693, 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.

1 155,840,693
-1 -155,840,693

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 155,840,693.

Example:
1 x 155,840,693 = 155,840,693
and
-1 x -155,840,693 = 155,840,693
Notice both answers equal 155,840,693

With that explanation out of the way, let's continue. Next, we take the number 155,840,693 and divide it by 2:

155,840,693 ÷ 2 = 77,920,346.5

If the quotient is a whole number, then 2 and 77,920,346.5 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:

1 155,840,693
-1 -155,840,693

Now, we try dividing 155,840,693 by 3:

155,840,693 ÷ 3 = 51,946,897.6667

If the quotient is a whole number, then 3 and 51,946,897.6667 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:

1 155,840,693
-1 -155,840,693

Let's try dividing by 4:

155,840,693 ÷ 4 = 38,960,173.25

If the quotient is a whole number, then 4 and 38,960,173.25 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:

1 155,840,693
-1 155,840,693
Keep dividing by the next highest number until you cannot divide anymore.

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

129792,29168,0231,972,6675,373,817155,840,693
-1-29-79-2,291-68,023-1,972,667-5,373,817-155,840,693

More Examples

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