Q: What are the factor combinations of the number 122,035,315?

 A:
Positive:   1 x 1220353155 x 2440706383 x 1470305157 x 777295415 x 294061785 x 1554591873 x 651559365 x 13031
Negative: -1 x -122035315-5 x -24407063-83 x -1470305-157 x -777295-415 x -294061-785 x -155459-1873 x -65155-9365 x -13031


How do I find the factor combinations of the number 122,035,315?

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 122,035,315, 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.

1 122,035,315
-1 -122,035,315

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 122,035,315.

Example:
1 x 122,035,315 = 122,035,315
and
-1 x -122,035,315 = 122,035,315
Notice both answers equal 122,035,315

With that explanation out of the way, let's continue. Next, we take the number 122,035,315 and divide it by 2:

122,035,315 ÷ 2 = 61,017,657.5

If the quotient is a whole number, then 2 and 61,017,657.5 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:

1 122,035,315
-1 -122,035,315

Now, we try dividing 122,035,315 by 3:

122,035,315 ÷ 3 = 40,678,438.3333

If the quotient is a whole number, then 3 and 40,678,438.3333 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:

1 122,035,315
-1 -122,035,315

Let's try dividing by 4:

122,035,315 ÷ 4 = 30,508,828.75

If the quotient is a whole number, then 4 and 30,508,828.75 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:

1 122,035,315
-1 122,035,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15831574157851,8739,36513,03165,155155,459294,061777,2951,470,30524,407,063122,035,315
-1-5-83-157-415-785-1,873-9,365-13,031-65,155-155,459-294,061-777,295-1,470,305-24,407,063-122,035,315

More Examples

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