Q: What are the factor combinations of the number 180,006,865?

 A:
Positive:   1 x 1800068655 x 36001373317 x 567845337 x 5341451585 x 1135691685 x 106829
Negative: -1 x -180006865-5 x -36001373-317 x -567845-337 x -534145-1585 x -113569-1685 x -106829


How do I find the factor combinations of the number 180,006,865?

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 180,006,865, 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.

1 180,006,865
-1 -180,006,865

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 180,006,865.

Example:
1 x 180,006,865 = 180,006,865
and
-1 x -180,006,865 = 180,006,865
Notice both answers equal 180,006,865

With that explanation out of the way, let's continue. Next, we take the number 180,006,865 and divide it by 2:

180,006,865 ÷ 2 = 90,003,432.5

If the quotient is a whole number, then 2 and 90,003,432.5 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:

1 180,006,865
-1 -180,006,865

Now, we try dividing 180,006,865 by 3:

180,006,865 ÷ 3 = 60,002,288.3333

If the quotient is a whole number, then 3 and 60,002,288.3333 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:

1 180,006,865
-1 -180,006,865

Let's try dividing by 4:

180,006,865 ÷ 4 = 45,001,716.25

If the quotient is a whole number, then 4 and 45,001,716.25 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:

1 180,006,865
-1 180,006,865
Keep dividing by the next highest number until you cannot divide anymore.

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

153173371,5851,685106,829113,569534,145567,84536,001,373180,006,865
-1-5-317-337-1,585-1,685-106,829-113,569-534,145-567,845-36,001,373-180,006,865

More Examples

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