Q: What are the factor combinations of the number 155,585,843?

 A:
Positive:   1 x 1555858437 x 222265493067 x 507297247 x 21469
Negative: -1 x -155585843-7 x -22226549-3067 x -50729-7247 x -21469


How do I find the factor combinations of the number 155,585,843?

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 155,585,843, 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.

1 155,585,843
-1 -155,585,843

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 155,585,843.

Example:
1 x 155,585,843 = 155,585,843
and
-1 x -155,585,843 = 155,585,843
Notice both answers equal 155,585,843

With that explanation out of the way, let's continue. Next, we take the number 155,585,843 and divide it by 2:

155,585,843 ÷ 2 = 77,792,921.5

If the quotient is a whole number, then 2 and 77,792,921.5 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:

1 155,585,843
-1 -155,585,843

Now, we try dividing 155,585,843 by 3:

155,585,843 ÷ 3 = 51,861,947.6667

If the quotient is a whole number, then 3 and 51,861,947.6667 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:

1 155,585,843
-1 -155,585,843

Let's try dividing by 4:

155,585,843 ÷ 4 = 38,896,460.75

If the quotient is a whole number, then 4 and 38,896,460.75 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:

1 155,585,843
-1 155,585,843
Keep dividing by the next highest number until you cannot divide anymore.

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

173,0677,24721,46950,72922,226,549155,585,843
-1-7-3,067-7,247-21,469-50,729-22,226,549-155,585,843

More Examples

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