Q: What are the factor combinations of the number 25,013,351?

 A:
Positive:   1 x 2501335111 x 227394123 x 1087537253 x 98867
Negative: -1 x -25013351-11 x -2273941-23 x -1087537-253 x -98867


How do I find the factor combinations of the number 25,013,351?

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 25,013,351, 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 25,013,351
-1 -25,013,351

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 25,013,351.

Example:
1 x 25,013,351 = 25,013,351
and
-1 x -25,013,351 = 25,013,351
Notice both answers equal 25,013,351

With that explanation out of the way, let's continue. Next, we take the number 25,013,351 and divide it by 2:

25,013,351 ÷ 2 = 12,506,675.5

If the quotient is a whole number, then 2 and 12,506,675.5 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 25,013,351
-1 -25,013,351

Now, we try dividing 25,013,351 by 3:

25,013,351 ÷ 3 = 8,337,783.6667

If the quotient is a whole number, then 3 and 8,337,783.6667 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 25,013,351
-1 -25,013,351

Let's try dividing by 4:

25,013,351 ÷ 4 = 6,253,337.75

If the quotient is a whole number, then 4 and 6,253,337.75 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 25,013,351
-1 25,013,351
Keep dividing by the next highest number until you cannot divide anymore.

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

1112325398,8671,087,5372,273,94125,013,351
-1-11-23-253-98,867-1,087,537-2,273,941-25,013,351

More Examples

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