Q: What are the factor combinations of the number 25,033,169?

 A:
Positive:   1 x 250331697 x 357616749 x 51088159 x 424291343 x 72983413 x 606131237 x 202372891 x 8659
Negative: -1 x -25033169-7 x -3576167-49 x -510881-59 x -424291-343 x -72983-413 x -60613-1237 x -20237-2891 x -8659


How do I find the factor combinations of the number 25,033,169?

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 25,033,169, 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 25,033,169
-1 -25,033,169

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 25,033,169.

Example:
1 x 25,033,169 = 25,033,169
and
-1 x -25,033,169 = 25,033,169
Notice both answers equal 25,033,169

With that explanation out of the way, let's continue. Next, we take the number 25,033,169 and divide it by 2:

25,033,169 ÷ 2 = 12,516,584.5

If the quotient is a whole number, then 2 and 12,516,584.5 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 25,033,169
-1 -25,033,169

Now, we try dividing 25,033,169 by 3:

25,033,169 ÷ 3 = 8,344,389.6667

If the quotient is a whole number, then 3 and 8,344,389.6667 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 25,033,169
-1 -25,033,169

Let's try dividing by 4:

25,033,169 ÷ 4 = 6,258,292.25

If the quotient is a whole number, then 4 and 6,258,292.25 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 25,033,169
-1 25,033,169
Keep dividing by the next highest number until you cannot divide anymore.

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

1749593434131,2372,8918,65920,23760,61372,983424,291510,8813,576,16725,033,169
-1-7-49-59-343-413-1,237-2,891-8,659-20,237-60,613-72,983-424,291-510,881-3,576,167-25,033,169

More Examples

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