Q: What are the factor combinations of the number 232,867,271?

 A:
Positive:   1 x 2328672717 x 3326675313 x 1791286791 x 25589811297 x 1795431973 x 1180279079 x 2564913811 x 16861
Negative: -1 x -232867271-7 x -33266753-13 x -17912867-91 x -2558981-1297 x -179543-1973 x -118027-9079 x -25649-13811 x -16861


How do I find the factor combinations of the number 232,867,271?

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 232,867,271, 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.

1 232,867,271
-1 -232,867,271

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 232,867,271.

Example:
1 x 232,867,271 = 232,867,271
and
-1 x -232,867,271 = 232,867,271
Notice both answers equal 232,867,271

With that explanation out of the way, let's continue. Next, we take the number 232,867,271 and divide it by 2:

232,867,271 ÷ 2 = 116,433,635.5

If the quotient is a whole number, then 2 and 116,433,635.5 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:

1 232,867,271
-1 -232,867,271

Now, we try dividing 232,867,271 by 3:

232,867,271 ÷ 3 = 77,622,423.6667

If the quotient is a whole number, then 3 and 77,622,423.6667 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:

1 232,867,271
-1 -232,867,271

Let's try dividing by 4:

232,867,271 ÷ 4 = 58,216,817.75

If the quotient is a whole number, then 4 and 58,216,817.75 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:

1 232,867,271
-1 232,867,271
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911,2971,9739,07913,81116,86125,649118,027179,5432,558,98117,912,86733,266,753232,867,271
-1-7-13-91-1,297-1,973-9,079-13,811-16,861-25,649-118,027-179,543-2,558,981-17,912,867-33,266,753-232,867,271

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