Q: What are the factor combinations of the number 25,520,033?

 A:
Positive:   1 x 255200337 x 364571911 x 232000349 x 52081777 x 331429113 x 225841419 x 60907539 x 47347791 x 322631243 x 205312933 x 87014609 x 5537
Negative: -1 x -25520033-7 x -3645719-11 x -2320003-49 x -520817-77 x -331429-113 x -225841-419 x -60907-539 x -47347-791 x -32263-1243 x -20531-2933 x -8701-4609 x -5537


How do I find the factor combinations of the number 25,520,033?

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 25,520,033, 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 25,520,033
-1 -25,520,033

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 25,520,033.

Example:
1 x 25,520,033 = 25,520,033
and
-1 x -25,520,033 = 25,520,033
Notice both answers equal 25,520,033

With that explanation out of the way, let's continue. Next, we take the number 25,520,033 and divide it by 2:

25,520,033 ÷ 2 = 12,760,016.5

If the quotient is a whole number, then 2 and 12,760,016.5 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 25,520,033
-1 -25,520,033

Now, we try dividing 25,520,033 by 3:

25,520,033 ÷ 3 = 8,506,677.6667

If the quotient is a whole number, then 3 and 8,506,677.6667 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 25,520,033
-1 -25,520,033

Let's try dividing by 4:

25,520,033 ÷ 4 = 6,380,008.25

If the quotient is a whole number, then 4 and 6,380,008.25 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 25,520,033
-1 25,520,033
Keep dividing by the next highest number until you cannot divide anymore.

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

171149771134195397911,2432,9334,6095,5378,70120,53132,26347,34760,907225,841331,429520,8172,320,0033,645,71925,520,033
-1-7-11-49-77-113-419-539-791-1,243-2,933-4,609-5,537-8,701-20,531-32,263-47,347-60,907-225,841-331,429-520,817-2,320,003-3,645,719-25,520,033

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