Q: What are the factor combinations of the number 245,033,135?

 A:
Positive:   1 x 2450331355 x 4900662743 x 5698445215 x 1139689241 x 10167351205 x 2033474729 x 5181510363 x 23645
Negative: -1 x -245033135-5 x -49006627-43 x -5698445-215 x -1139689-241 x -1016735-1205 x -203347-4729 x -51815-10363 x -23645


How do I find the factor combinations of the number 245,033,135?

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 245,033,135, 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.

1 245,033,135
-1 -245,033,135

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 245,033,135.

Example:
1 x 245,033,135 = 245,033,135
and
-1 x -245,033,135 = 245,033,135
Notice both answers equal 245,033,135

With that explanation out of the way, let's continue. Next, we take the number 245,033,135 and divide it by 2:

245,033,135 ÷ 2 = 122,516,567.5

If the quotient is a whole number, then 2 and 122,516,567.5 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:

1 245,033,135
-1 -245,033,135

Now, we try dividing 245,033,135 by 3:

245,033,135 ÷ 3 = 81,677,711.6667

If the quotient is a whole number, then 3 and 81,677,711.6667 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:

1 245,033,135
-1 -245,033,135

Let's try dividing by 4:

245,033,135 ÷ 4 = 61,258,283.75

If the quotient is a whole number, then 4 and 61,258,283.75 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:

1 245,033,135
-1 245,033,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15432152411,2054,72910,36323,64551,815203,3471,016,7351,139,6895,698,44549,006,627245,033,135
-1-5-43-215-241-1,205-4,729-10,363-23,645-51,815-203,347-1,016,735-1,139,689-5,698,445-49,006,627-245,033,135

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