Q: What are the factor combinations of the number 160,564,135?

 A:
Positive:   1 x 1605641355 x 321128272683 x 5984511969 x 13415
Negative: -1 x -160564135-5 x -32112827-2683 x -59845-11969 x -13415


How do I find the factor combinations of the number 160,564,135?

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 160,564,135, 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.

1 160,564,135
-1 -160,564,135

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 160,564,135.

Example:
1 x 160,564,135 = 160,564,135
and
-1 x -160,564,135 = 160,564,135
Notice both answers equal 160,564,135

With that explanation out of the way, let's continue. Next, we take the number 160,564,135 and divide it by 2:

160,564,135 ÷ 2 = 80,282,067.5

If the quotient is a whole number, then 2 and 80,282,067.5 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:

1 160,564,135
-1 -160,564,135

Now, we try dividing 160,564,135 by 3:

160,564,135 ÷ 3 = 53,521,378.3333

If the quotient is a whole number, then 3 and 53,521,378.3333 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:

1 160,564,135
-1 -160,564,135

Let's try dividing by 4:

160,564,135 ÷ 4 = 40,141,033.75

If the quotient is a whole number, then 4 and 40,141,033.75 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:

1 160,564,135
-1 160,564,135
Keep dividing by the next highest number until you cannot divide anymore.

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

152,68311,96913,41559,84532,112,827160,564,135
-1-5-2,683-11,969-13,415-59,845-32,112,827-160,564,135

More Examples

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