Q: What are the factor combinations of the number 8,698,865?

 A:
Positive:   1 x 86988655 x 17397737 x 124269519 x 45783535 x 24853995 x 91567103 x 84455127 x 68495133 x 65405515 x 16891635 x 13699665 x 13081721 x 12065889 x 97851957 x 44452413 x 3605
Negative: -1 x -8698865-5 x -1739773-7 x -1242695-19 x -457835-35 x -248539-95 x -91567-103 x -84455-127 x -68495-133 x -65405-515 x -16891-635 x -13699-665 x -13081-721 x -12065-889 x -9785-1957 x -4445-2413 x -3605


How do I find the factor combinations of the number 8,698,865?

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 8,698,865, 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 8,698,865
-1 -8,698,865

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 8,698,865.

Example:
1 x 8,698,865 = 8,698,865
and
-1 x -8,698,865 = 8,698,865
Notice both answers equal 8,698,865

With that explanation out of the way, let's continue. Next, we take the number 8,698,865 and divide it by 2:

8,698,865 ÷ 2 = 4,349,432.5

If the quotient is a whole number, then 2 and 4,349,432.5 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 8,698,865
-1 -8,698,865

Now, we try dividing 8,698,865 by 3:

8,698,865 ÷ 3 = 2,899,621.6667

If the quotient is a whole number, then 3 and 2,899,621.6667 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 8,698,865
-1 -8,698,865

Let's try dividing by 4:

8,698,865 ÷ 4 = 2,174,716.25

If the quotient is a whole number, then 4 and 2,174,716.25 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 8,698,865
-1 8,698,865
Keep dividing by the next highest number until you cannot divide anymore.

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

1571935951031271335156356657218891,9572,4133,6054,4459,78512,06513,08113,69916,89165,40568,49584,45591,567248,539457,8351,242,6951,739,7738,698,865
-1-5-7-19-35-95-103-127-133-515-635-665-721-889-1,957-2,413-3,605-4,445-9,785-12,065-13,081-13,699-16,891-65,405-68,495-84,455-91,567-248,539-457,835-1,242,695-1,739,773-8,698,865

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