Q: What are the factor combinations of the number 25,220,299?

 A:
Positive:   1 x 2522029913 x 194002317 x 1483547139 x 181441221 x 114119821 x 307191807 x 139572363 x 10673
Negative: -1 x -25220299-13 x -1940023-17 x -1483547-139 x -181441-221 x -114119-821 x -30719-1807 x -13957-2363 x -10673


How do I find the factor combinations of the number 25,220,299?

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 25,220,299, 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 25,220,299
-1 -25,220,299

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 25,220,299.

Example:
1 x 25,220,299 = 25,220,299
and
-1 x -25,220,299 = 25,220,299
Notice both answers equal 25,220,299

With that explanation out of the way, let's continue. Next, we take the number 25,220,299 and divide it by 2:

25,220,299 ÷ 2 = 12,610,149.5

If the quotient is a whole number, then 2 and 12,610,149.5 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 25,220,299
-1 -25,220,299

Now, we try dividing 25,220,299 by 3:

25,220,299 ÷ 3 = 8,406,766.3333

If the quotient is a whole number, then 3 and 8,406,766.3333 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 25,220,299
-1 -25,220,299

Let's try dividing by 4:

25,220,299 ÷ 4 = 6,305,074.75

If the quotient is a whole number, then 4 and 6,305,074.75 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 25,220,299
-1 25,220,299
Keep dividing by the next highest number until you cannot divide anymore.

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

113171392218211,8072,36310,67313,95730,719114,119181,4411,483,5471,940,02325,220,299
-1-13-17-139-221-821-1,807-2,363-10,673-13,957-30,719-114,119-181,441-1,483,547-1,940,023-25,220,299

More Examples

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