Q: What are the factor combinations of the number 161,003,135?

 A:
Positive:   1 x 1610031355 x 3220062753 x 3037795265 x 607559751 x 214385809 x 1990153755 x 428774045 x 39803
Negative: -1 x -161003135-5 x -32200627-53 x -3037795-265 x -607559-751 x -214385-809 x -199015-3755 x -42877-4045 x -39803


How do I find the factor combinations of the number 161,003,135?

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 161,003,135, 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.

1 161,003,135
-1 -161,003,135

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 161,003,135.

Example:
1 x 161,003,135 = 161,003,135
and
-1 x -161,003,135 = 161,003,135
Notice both answers equal 161,003,135

With that explanation out of the way, let's continue. Next, we take the number 161,003,135 and divide it by 2:

161,003,135 ÷ 2 = 80,501,567.5

If the quotient is a whole number, then 2 and 80,501,567.5 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:

1 161,003,135
-1 -161,003,135

Now, we try dividing 161,003,135 by 3:

161,003,135 ÷ 3 = 53,667,711.6667

If the quotient is a whole number, then 3 and 53,667,711.6667 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:

1 161,003,135
-1 -161,003,135

Let's try dividing by 4:

161,003,135 ÷ 4 = 40,250,783.75

If the quotient is a whole number, then 4 and 40,250,783.75 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:

1 161,003,135
-1 161,003,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15532657518093,7554,04539,80342,877199,015214,385607,5593,037,79532,200,627161,003,135
-1-5-53-265-751-809-3,755-4,045-39,803-42,877-199,015-214,385-607,559-3,037,795-32,200,627-161,003,135

More Examples

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