Q: What are the factor combinations of the number 425,603,765?

 A:
Positive:   1 x 4256037655 x 8512075367 x 6352295113 x 3766405335 x 1270459565 x 7532817571 x 5621511243 x 37855
Negative: -1 x -425603765-5 x -85120753-67 x -6352295-113 x -3766405-335 x -1270459-565 x -753281-7571 x -56215-11243 x -37855


How do I find the factor combinations of the number 425,603,765?

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 425,603,765, 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.

1 425,603,765
-1 -425,603,765

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 425,603,765.

Example:
1 x 425,603,765 = 425,603,765
and
-1 x -425,603,765 = 425,603,765
Notice both answers equal 425,603,765

With that explanation out of the way, let's continue. Next, we take the number 425,603,765 and divide it by 2:

425,603,765 ÷ 2 = 212,801,882.5

If the quotient is a whole number, then 2 and 212,801,882.5 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:

1 425,603,765
-1 -425,603,765

Now, we try dividing 425,603,765 by 3:

425,603,765 ÷ 3 = 141,867,921.6667

If the quotient is a whole number, then 3 and 141,867,921.6667 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:

1 425,603,765
-1 -425,603,765

Let's try dividing by 4:

425,603,765 ÷ 4 = 106,400,941.25

If the quotient is a whole number, then 4 and 106,400,941.25 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:

1 425,603,765
-1 425,603,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15671133355657,57111,24337,85556,215753,2811,270,4593,766,4056,352,29585,120,753425,603,765
-1-5-67-113-335-565-7,571-11,243-37,855-56,215-753,281-1,270,459-3,766,405-6,352,295-85,120,753-425,603,765

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