Q: What are the factor combinations of the number 231,244,247?

 A:
Positive:   1 x 23124424713 x 1778801953 x 4363099101 x 2289547689 x 3356231313 x 1761193323 x 695895353 x 43199
Negative: -1 x -231244247-13 x -17788019-53 x -4363099-101 x -2289547-689 x -335623-1313 x -176119-3323 x -69589-5353 x -43199


How do I find the factor combinations of the number 231,244,247?

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 231,244,247, 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.

1 231,244,247
-1 -231,244,247

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 231,244,247.

Example:
1 x 231,244,247 = 231,244,247
and
-1 x -231,244,247 = 231,244,247
Notice both answers equal 231,244,247

With that explanation out of the way, let's continue. Next, we take the number 231,244,247 and divide it by 2:

231,244,247 ÷ 2 = 115,622,123.5

If the quotient is a whole number, then 2 and 115,622,123.5 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:

1 231,244,247
-1 -231,244,247

Now, we try dividing 231,244,247 by 3:

231,244,247 ÷ 3 = 77,081,415.6667

If the quotient is a whole number, then 3 and 77,081,415.6667 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:

1 231,244,247
-1 -231,244,247

Let's try dividing by 4:

231,244,247 ÷ 4 = 57,811,061.75

If the quotient is a whole number, then 4 and 57,811,061.75 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:

1 231,244,247
-1 231,244,247
Keep dividing by the next highest number until you cannot divide anymore.

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

113531016891,3133,3235,35343,19969,589176,119335,6232,289,5474,363,09917,788,019231,244,247
-1-13-53-101-689-1,313-3,323-5,353-43,199-69,589-176,119-335,623-2,289,547-4,363,099-17,788,019-231,244,247

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