Q: What are the factor combinations of the number 160,686,845?

 A:
Positive:   1 x 1606868455 x 3213736911 x 1460789555 x 292157971 x 2263195355 x 452639781 x 2057453905 x 41149
Negative: -1 x -160686845-5 x -32137369-11 x -14607895-55 x -2921579-71 x -2263195-355 x -452639-781 x -205745-3905 x -41149


How do I find the factor combinations of the number 160,686,845?

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 160,686,845, 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.

1 160,686,845
-1 -160,686,845

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 160,686,845.

Example:
1 x 160,686,845 = 160,686,845
and
-1 x -160,686,845 = 160,686,845
Notice both answers equal 160,686,845

With that explanation out of the way, let's continue. Next, we take the number 160,686,845 and divide it by 2:

160,686,845 ÷ 2 = 80,343,422.5

If the quotient is a whole number, then 2 and 80,343,422.5 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:

1 160,686,845
-1 -160,686,845

Now, we try dividing 160,686,845 by 3:

160,686,845 ÷ 3 = 53,562,281.6667

If the quotient is a whole number, then 3 and 53,562,281.6667 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:

1 160,686,845
-1 -160,686,845

Let's try dividing by 4:

160,686,845 ÷ 4 = 40,171,711.25

If the quotient is a whole number, then 4 and 40,171,711.25 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:

1 160,686,845
-1 160,686,845
Keep dividing by the next highest number until you cannot divide anymore.

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

151155713557813,90541,149205,745452,6392,263,1952,921,57914,607,89532,137,369160,686,845
-1-5-11-55-71-355-781-3,905-41,149-205,745-452,639-2,263,195-2,921,579-14,607,895-32,137,369-160,686,845

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