Q: What are the factor combinations of the number 160,657,393?

 A:
Positive:   1 x 16065739313 x 1235826141 x 3918473383 x 419471533 x 301421787 x 2041394979 x 3226710231 x 15703
Negative: -1 x -160657393-13 x -12358261-41 x -3918473-383 x -419471-533 x -301421-787 x -204139-4979 x -32267-10231 x -15703


How do I find the factor combinations of the number 160,657,393?

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 160,657,393, 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.

1 160,657,393
-1 -160,657,393

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 160,657,393.

Example:
1 x 160,657,393 = 160,657,393
and
-1 x -160,657,393 = 160,657,393
Notice both answers equal 160,657,393

With that explanation out of the way, let's continue. Next, we take the number 160,657,393 and divide it by 2:

160,657,393 ÷ 2 = 80,328,696.5

If the quotient is a whole number, then 2 and 80,328,696.5 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:

1 160,657,393
-1 -160,657,393

Now, we try dividing 160,657,393 by 3:

160,657,393 ÷ 3 = 53,552,464.3333

If the quotient is a whole number, then 3 and 53,552,464.3333 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:

1 160,657,393
-1 -160,657,393

Let's try dividing by 4:

160,657,393 ÷ 4 = 40,164,348.25

If the quotient is a whole number, then 4 and 40,164,348.25 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:

1 160,657,393
-1 160,657,393
Keep dividing by the next highest number until you cannot divide anymore.

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

113413835337874,97910,23115,70332,267204,139301,421419,4713,918,47312,358,261160,657,393
-1-13-41-383-533-787-4,979-10,231-15,703-32,267-204,139-301,421-419,471-3,918,473-12,358,261-160,657,393

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