Q: What are the factor combinations of the number 124,423,013?

 A:
Positive:   1 x 12442301311 x 1131118313 x 9571001143 x 870091227 x 5481192497 x 498292951 x 421633833 x 32461
Negative: -1 x -124423013-11 x -11311183-13 x -9571001-143 x -870091-227 x -548119-2497 x -49829-2951 x -42163-3833 x -32461


How do I find the factor combinations of the number 124,423,013?

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 124,423,013, 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.

1 124,423,013
-1 -124,423,013

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 124,423,013.

Example:
1 x 124,423,013 = 124,423,013
and
-1 x -124,423,013 = 124,423,013
Notice both answers equal 124,423,013

With that explanation out of the way, let's continue. Next, we take the number 124,423,013 and divide it by 2:

124,423,013 ÷ 2 = 62,211,506.5

If the quotient is a whole number, then 2 and 62,211,506.5 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:

1 124,423,013
-1 -124,423,013

Now, we try dividing 124,423,013 by 3:

124,423,013 ÷ 3 = 41,474,337.6667

If the quotient is a whole number, then 3 and 41,474,337.6667 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:

1 124,423,013
-1 -124,423,013

Let's try dividing by 4:

124,423,013 ÷ 4 = 31,105,753.25

If the quotient is a whole number, then 4 and 31,105,753.25 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:

1 124,423,013
-1 124,423,013
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432272,4972,9513,83332,46142,16349,829548,119870,0919,571,00111,311,183124,423,013
-1-11-13-143-227-2,497-2,951-3,833-32,461-42,163-49,829-548,119-870,091-9,571,001-11,311,183-124,423,013

More Examples

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