Q: What are the factor combinations of the number 425,043,113?

 A:
Positive:   1 x 42504311311 x 38640283121 x 3512753941 x 4516933733 x 11386110351 x 41063
Negative: -1 x -425043113-11 x -38640283-121 x -3512753-941 x -451693-3733 x -113861-10351 x -41063


How do I find the factor combinations of the number 425,043,113?

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 425,043,113, 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.

1 425,043,113
-1 -425,043,113

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 425,043,113.

Example:
1 x 425,043,113 = 425,043,113
and
-1 x -425,043,113 = 425,043,113
Notice both answers equal 425,043,113

With that explanation out of the way, let's continue. Next, we take the number 425,043,113 and divide it by 2:

425,043,113 ÷ 2 = 212,521,556.5

If the quotient is a whole number, then 2 and 212,521,556.5 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:

1 425,043,113
-1 -425,043,113

Now, we try dividing 425,043,113 by 3:

425,043,113 ÷ 3 = 141,681,037.6667

If the quotient is a whole number, then 3 and 141,681,037.6667 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:

1 425,043,113
-1 -425,043,113

Let's try dividing by 4:

425,043,113 ÷ 4 = 106,260,778.25

If the quotient is a whole number, then 4 and 106,260,778.25 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:

1 425,043,113
-1 425,043,113
Keep dividing by the next highest number until you cannot divide anymore.

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

1111219413,73310,35141,063113,861451,6933,512,75338,640,283425,043,113
-1-11-121-941-3,733-10,351-41,063-113,861-451,693-3,512,753-38,640,283-425,043,113

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