Q: What are the factor combinations of the number 8,677,735?

 A:
Positive:   1 x 86777355 x 173554711 x 78888517 x 51045555 x 15777785 x 102091187 x 46405935 x 9281
Negative: -1 x -8677735-5 x -1735547-11 x -788885-17 x -510455-55 x -157777-85 x -102091-187 x -46405-935 x -9281


How do I find the factor combinations of the number 8,677,735?

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 8,677,735, 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 8,677,735
-1 -8,677,735

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 8,677,735.

Example:
1 x 8,677,735 = 8,677,735
and
-1 x -8,677,735 = 8,677,735
Notice both answers equal 8,677,735

With that explanation out of the way, let's continue. Next, we take the number 8,677,735 and divide it by 2:

8,677,735 ÷ 2 = 4,338,867.5

If the quotient is a whole number, then 2 and 4,338,867.5 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 8,677,735
-1 -8,677,735

Now, we try dividing 8,677,735 by 3:

8,677,735 ÷ 3 = 2,892,578.3333

If the quotient is a whole number, then 3 and 2,892,578.3333 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 8,677,735
-1 -8,677,735

Let's try dividing by 4:

8,677,735 ÷ 4 = 2,169,433.75

If the quotient is a whole number, then 4 and 2,169,433.75 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 8,677,735
-1 8,677,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15111755851879359,28146,405102,091157,777510,455788,8851,735,5478,677,735
-1-5-11-17-55-85-187-935-9,281-46,405-102,091-157,777-510,455-788,885-1,735,547-8,677,735

More Examples

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