Q: What are the factor combinations of the number 7,567,567?

 A:
Positive:   1 x 75675677 x 108108117 x 44515119 x 398293119 x 63593133 x 56899323 x 234292261 x 3347
Negative: -1 x -7567567-7 x -1081081-17 x -445151-19 x -398293-119 x -63593-133 x -56899-323 x -23429-2261 x -3347


How do I find the factor combinations of the number 7,567,567?

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 7,567,567, 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 7,567,567
-1 -7,567,567

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 7,567,567.

Example:
1 x 7,567,567 = 7,567,567
and
-1 x -7,567,567 = 7,567,567
Notice both answers equal 7,567,567

With that explanation out of the way, let's continue. Next, we take the number 7,567,567 and divide it by 2:

7,567,567 ÷ 2 = 3,783,783.5

If the quotient is a whole number, then 2 and 3,783,783.5 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 7,567,567
-1 -7,567,567

Now, we try dividing 7,567,567 by 3:

7,567,567 ÷ 3 = 2,522,522.3333

If the quotient is a whole number, then 3 and 2,522,522.3333 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 7,567,567
-1 -7,567,567

Let's try dividing by 4:

7,567,567 ÷ 4 = 1,891,891.75

If the quotient is a whole number, then 4 and 1,891,891.75 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 7,567,567
-1 7,567,567
Keep dividing by the next highest number until you cannot divide anymore.

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

1717191191333232,2613,34723,42956,89963,593398,293445,1511,081,0817,567,567
-1-7-17-19-119-133-323-2,261-3,347-23,429-56,899-63,593-398,293-445,151-1,081,081-7,567,567

More Examples

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