Q: What are the factor combinations of the number 7,525,265?

 A:
Positive:   1 x 75252655 x 150505311 x 68411555 x 13682361 x 123365305 x 24673671 x 112152243 x 3355
Negative: -1 x -7525265-5 x -1505053-11 x -684115-55 x -136823-61 x -123365-305 x -24673-671 x -11215-2243 x -3355


How do I find the factor combinations of the number 7,525,265?

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 7,525,265, 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 7,525,265
-1 -7,525,265

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 7,525,265.

Example:
1 x 7,525,265 = 7,525,265
and
-1 x -7,525,265 = 7,525,265
Notice both answers equal 7,525,265

With that explanation out of the way, let's continue. Next, we take the number 7,525,265 and divide it by 2:

7,525,265 ÷ 2 = 3,762,632.5

If the quotient is a whole number, then 2 and 3,762,632.5 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 7,525,265
-1 -7,525,265

Now, we try dividing 7,525,265 by 3:

7,525,265 ÷ 3 = 2,508,421.6667

If the quotient is a whole number, then 3 and 2,508,421.6667 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 7,525,265
-1 -7,525,265

Let's try dividing by 4:

7,525,265 ÷ 4 = 1,881,316.25

If the quotient is a whole number, then 4 and 1,881,316.25 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 7,525,265
-1 7,525,265
Keep dividing by the next highest number until you cannot divide anymore.

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

151155613056712,2433,35511,21524,673123,365136,823684,1151,505,0537,525,265
-1-5-11-55-61-305-671-2,243-3,355-11,215-24,673-123,365-136,823-684,115-1,505,053-7,525,265

More Examples

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