Q: What are the factor combinations of the number 161,163,355?

 A:
Positive:   1 x 1611633555 x 3223267143 x 3747985215 x 749597463 x 3480851619 x 995452315 x 696178095 x 19909
Negative: -1 x -161163355-5 x -32232671-43 x -3747985-215 x -749597-463 x -348085-1619 x -99545-2315 x -69617-8095 x -19909


How do I find the factor combinations of the number 161,163,355?

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 161,163,355, 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.

1 161,163,355
-1 -161,163,355

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 161,163,355.

Example:
1 x 161,163,355 = 161,163,355
and
-1 x -161,163,355 = 161,163,355
Notice both answers equal 161,163,355

With that explanation out of the way, let's continue. Next, we take the number 161,163,355 and divide it by 2:

161,163,355 ÷ 2 = 80,581,677.5

If the quotient is a whole number, then 2 and 80,581,677.5 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:

1 161,163,355
-1 -161,163,355

Now, we try dividing 161,163,355 by 3:

161,163,355 ÷ 3 = 53,721,118.3333

If the quotient is a whole number, then 3 and 53,721,118.3333 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:

1 161,163,355
-1 -161,163,355

Let's try dividing by 4:

161,163,355 ÷ 4 = 40,290,838.75

If the quotient is a whole number, then 4 and 40,290,838.75 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:

1 161,163,355
-1 161,163,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15432154631,6192,3158,09519,90969,61799,545348,085749,5973,747,98532,232,671161,163,355
-1-5-43-215-463-1,619-2,315-8,095-19,909-69,617-99,545-348,085-749,597-3,747,985-32,232,671-161,163,355

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