Q: What are the factor combinations of the number 425,253,115?

 A:
Positive:   1 x 4252531155 x 850506237 x 6075044535 x 1215008949 x 8678635245 x 1735727343 x 12398051715 x 2479612401 x 17711512005 x 35423
Negative: -1 x -425253115-5 x -85050623-7 x -60750445-35 x -12150089-49 x -8678635-245 x -1735727-343 x -1239805-1715 x -247961-2401 x -177115-12005 x -35423


How do I find the factor combinations of the number 425,253,115?

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 425,253,115, 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.

1 425,253,115
-1 -425,253,115

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 425,253,115.

Example:
1 x 425,253,115 = 425,253,115
and
-1 x -425,253,115 = 425,253,115
Notice both answers equal 425,253,115

With that explanation out of the way, let's continue. Next, we take the number 425,253,115 and divide it by 2:

425,253,115 ÷ 2 = 212,626,557.5

If the quotient is a whole number, then 2 and 212,626,557.5 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:

1 425,253,115
-1 -425,253,115

Now, we try dividing 425,253,115 by 3:

425,253,115 ÷ 3 = 141,751,038.3333

If the quotient is a whole number, then 3 and 141,751,038.3333 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:

1 425,253,115
-1 -425,253,115

Let's try dividing by 4:

425,253,115 ÷ 4 = 106,313,278.75

If the quotient is a whole number, then 4 and 106,313,278.75 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:

1 425,253,115
-1 425,253,115
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453431,7152,40112,00535,423177,115247,9611,239,8051,735,7278,678,63512,150,08960,750,44585,050,623425,253,115
-1-5-7-35-49-245-343-1,715-2,401-12,005-35,423-177,115-247,961-1,239,805-1,735,727-8,678,635-12,150,089-60,750,445-85,050,623-425,253,115

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