Q: What are the factor combinations of the number 160,920,553?

 A:
Positive:   1 x 16092055359 x 2727467433 x 3716416299 x 25547
Negative: -1 x -160920553-59 x -2727467-433 x -371641-6299 x -25547


How do I find the factor combinations of the number 160,920,553?

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 160,920,553, 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.

1 160,920,553
-1 -160,920,553

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 160,920,553.

Example:
1 x 160,920,553 = 160,920,553
and
-1 x -160,920,553 = 160,920,553
Notice both answers equal 160,920,553

With that explanation out of the way, let's continue. Next, we take the number 160,920,553 and divide it by 2:

160,920,553 ÷ 2 = 80,460,276.5

If the quotient is a whole number, then 2 and 80,460,276.5 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:

1 160,920,553
-1 -160,920,553

Now, we try dividing 160,920,553 by 3:

160,920,553 ÷ 3 = 53,640,184.3333

If the quotient is a whole number, then 3 and 53,640,184.3333 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:

1 160,920,553
-1 -160,920,553

Let's try dividing by 4:

160,920,553 ÷ 4 = 40,230,138.25

If the quotient is a whole number, then 4 and 40,230,138.25 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:

1 160,920,553
-1 160,920,553
Keep dividing by the next highest number until you cannot divide anymore.

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

1594336,29925,547371,6412,727,467160,920,553
-1-59-433-6,299-25,547-371,641-2,727,467-160,920,553

More Examples

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