Q: What are the factor combinations of the number 425,640,505?

 A:
Positive:   1 x 4256405055 x 85128101137 x 3106865181 x 2351605685 x 621373905 x 4703213433 x 12398517165 x 24797
Negative: -1 x -425640505-5 x -85128101-137 x -3106865-181 x -2351605-685 x -621373-905 x -470321-3433 x -123985-17165 x -24797


How do I find the factor combinations of the number 425,640,505?

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 425,640,505, 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.

1 425,640,505
-1 -425,640,505

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 425,640,505.

Example:
1 x 425,640,505 = 425,640,505
and
-1 x -425,640,505 = 425,640,505
Notice both answers equal 425,640,505

With that explanation out of the way, let's continue. Next, we take the number 425,640,505 and divide it by 2:

425,640,505 ÷ 2 = 212,820,252.5

If the quotient is a whole number, then 2 and 212,820,252.5 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:

1 425,640,505
-1 -425,640,505

Now, we try dividing 425,640,505 by 3:

425,640,505 ÷ 3 = 141,880,168.3333

If the quotient is a whole number, then 3 and 141,880,168.3333 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:

1 425,640,505
-1 -425,640,505

Let's try dividing by 4:

425,640,505 ÷ 4 = 106,410,126.25

If the quotient is a whole number, then 4 and 106,410,126.25 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:

1 425,640,505
-1 425,640,505
Keep dividing by the next highest number until you cannot divide anymore.

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

151371816859053,43317,16524,797123,985470,321621,3732,351,6053,106,86585,128,101425,640,505
-1-5-137-181-685-905-3,433-17,165-24,797-123,985-470,321-621,373-2,351,605-3,106,865-85,128,101-425,640,505

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