Q: What are the factor combinations of the number 103,121,437?

 A:
Positive:   1 x 10312143741 x 2515157103 x 10011794223 x 24419
Negative: -1 x -103121437-41 x -2515157-103 x -1001179-4223 x -24419


How do I find the factor combinations of the number 103,121,437?

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 103,121,437, 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.

1 103,121,437
-1 -103,121,437

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 103,121,437.

Example:
1 x 103,121,437 = 103,121,437
and
-1 x -103,121,437 = 103,121,437
Notice both answers equal 103,121,437

With that explanation out of the way, let's continue. Next, we take the number 103,121,437 and divide it by 2:

103,121,437 ÷ 2 = 51,560,718.5

If the quotient is a whole number, then 2 and 51,560,718.5 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:

1 103,121,437
-1 -103,121,437

Now, we try dividing 103,121,437 by 3:

103,121,437 ÷ 3 = 34,373,812.3333

If the quotient is a whole number, then 3 and 34,373,812.3333 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:

1 103,121,437
-1 -103,121,437

Let's try dividing by 4:

103,121,437 ÷ 4 = 25,780,359.25

If the quotient is a whole number, then 4 and 25,780,359.25 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:

1 103,121,437
-1 103,121,437
Keep dividing by the next highest number until you cannot divide anymore.

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

1411034,22324,4191,001,1792,515,157103,121,437
-1-41-103-4,223-24,419-1,001,179-2,515,157-103,121,437

More Examples

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