Q: What are the factor combinations of the number 160,116,521?

 A:
Positive:   1 x 16011652141 x 390528161 x 262486173 x 2193377877 x 1825732501 x 640212993 x 534974453 x 35957
Negative: -1 x -160116521-41 x -3905281-61 x -2624861-73 x -2193377-877 x -182573-2501 x -64021-2993 x -53497-4453 x -35957


How do I find the factor combinations of the number 160,116,521?

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 160,116,521, 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.

1 160,116,521
-1 -160,116,521

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 160,116,521.

Example:
1 x 160,116,521 = 160,116,521
and
-1 x -160,116,521 = 160,116,521
Notice both answers equal 160,116,521

With that explanation out of the way, let's continue. Next, we take the number 160,116,521 and divide it by 2:

160,116,521 ÷ 2 = 80,058,260.5

If the quotient is a whole number, then 2 and 80,058,260.5 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:

1 160,116,521
-1 -160,116,521

Now, we try dividing 160,116,521 by 3:

160,116,521 ÷ 3 = 53,372,173.6667

If the quotient is a whole number, then 3 and 53,372,173.6667 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:

1 160,116,521
-1 -160,116,521

Let's try dividing by 4:

160,116,521 ÷ 4 = 40,029,130.25

If the quotient is a whole number, then 4 and 40,029,130.25 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:

1 160,116,521
-1 160,116,521
Keep dividing by the next highest number until you cannot divide anymore.

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

14161738772,5012,9934,45335,95753,49764,021182,5732,193,3772,624,8613,905,281160,116,521
-1-41-61-73-877-2,501-2,993-4,453-35,957-53,497-64,021-182,573-2,193,377-2,624,861-3,905,281-160,116,521

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