Q: What are the factor combinations of the number 160,166,053?

 A:
Positive:   1 x 16016605353 x 302200161 x 2625673107 x 1496879463 x 3459313233 x 495415671 x 282436527 x 24539
Negative: -1 x -160166053-53 x -3022001-61 x -2625673-107 x -1496879-463 x -345931-3233 x -49541-5671 x -28243-6527 x -24539


How do I find the factor combinations of the number 160,166,053?

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 160,166,053, 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.

1 160,166,053
-1 -160,166,053

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 160,166,053.

Example:
1 x 160,166,053 = 160,166,053
and
-1 x -160,166,053 = 160,166,053
Notice both answers equal 160,166,053

With that explanation out of the way, let's continue. Next, we take the number 160,166,053 and divide it by 2:

160,166,053 ÷ 2 = 80,083,026.5

If the quotient is a whole number, then 2 and 80,083,026.5 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:

1 160,166,053
-1 -160,166,053

Now, we try dividing 160,166,053 by 3:

160,166,053 ÷ 3 = 53,388,684.3333

If the quotient is a whole number, then 3 and 53,388,684.3333 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:

1 160,166,053
-1 -160,166,053

Let's try dividing by 4:

160,166,053 ÷ 4 = 40,041,513.25

If the quotient is a whole number, then 4 and 40,041,513.25 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:

1 160,166,053
-1 160,166,053
Keep dividing by the next highest number until you cannot divide anymore.

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

153611074633,2335,6716,52724,53928,24349,541345,9311,496,8792,625,6733,022,001160,166,053
-1-53-61-107-463-3,233-5,671-6,527-24,539-28,243-49,541-345,931-1,496,879-2,625,673-3,022,001-160,166,053

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