Q: What are the factor combinations of the number 124,214,215?

 A:
Positive:   1 x 1242142155 x 2484284341 x 3029615205 x 605923521 x 2384151163 x 1068052605 x 476835815 x 21361
Negative: -1 x -124214215-5 x -24842843-41 x -3029615-205 x -605923-521 x -238415-1163 x -106805-2605 x -47683-5815 x -21361


How do I find the factor combinations of the number 124,214,215?

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 124,214,215, 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.

1 124,214,215
-1 -124,214,215

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 124,214,215.

Example:
1 x 124,214,215 = 124,214,215
and
-1 x -124,214,215 = 124,214,215
Notice both answers equal 124,214,215

With that explanation out of the way, let's continue. Next, we take the number 124,214,215 and divide it by 2:

124,214,215 ÷ 2 = 62,107,107.5

If the quotient is a whole number, then 2 and 62,107,107.5 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:

1 124,214,215
-1 -124,214,215

Now, we try dividing 124,214,215 by 3:

124,214,215 ÷ 3 = 41,404,738.3333

If the quotient is a whole number, then 3 and 41,404,738.3333 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:

1 124,214,215
-1 -124,214,215

Let's try dividing by 4:

124,214,215 ÷ 4 = 31,053,553.75

If the quotient is a whole number, then 4 and 31,053,553.75 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:

1 124,214,215
-1 124,214,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15412055211,1632,6055,81521,36147,683106,805238,415605,9233,029,61524,842,843124,214,215
-1-5-41-205-521-1,163-2,605-5,815-21,361-47,683-106,805-238,415-605,923-3,029,615-24,842,843-124,214,215

More Examples

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