Q: What are the factor combinations of the number 160,977,665?

 A:
Positive:   1 x 1609776655 x 3219553359 x 2728435191 x 842815295 x 545687955 x 1685632857 x 5634511269 x 14285
Negative: -1 x -160977665-5 x -32195533-59 x -2728435-191 x -842815-295 x -545687-955 x -168563-2857 x -56345-11269 x -14285


How do I find the factor combinations of the number 160,977,665?

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 160,977,665, 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.

1 160,977,665
-1 -160,977,665

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 160,977,665.

Example:
1 x 160,977,665 = 160,977,665
and
-1 x -160,977,665 = 160,977,665
Notice both answers equal 160,977,665

With that explanation out of the way, let's continue. Next, we take the number 160,977,665 and divide it by 2:

160,977,665 ÷ 2 = 80,488,832.5

If the quotient is a whole number, then 2 and 80,488,832.5 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:

1 160,977,665
-1 -160,977,665

Now, we try dividing 160,977,665 by 3:

160,977,665 ÷ 3 = 53,659,221.6667

If the quotient is a whole number, then 3 and 53,659,221.6667 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:

1 160,977,665
-1 -160,977,665

Let's try dividing by 4:

160,977,665 ÷ 4 = 40,244,416.25

If the quotient is a whole number, then 4 and 40,244,416.25 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:

1 160,977,665
-1 160,977,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15591912959552,85711,26914,28556,345168,563545,687842,8152,728,43532,195,533160,977,665
-1-5-59-191-295-955-2,857-11,269-14,285-56,345-168,563-545,687-842,815-2,728,435-32,195,533-160,977,665

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