Q: What are the factor combinations of the number 8,848,675?

 A:
Positive:   1 x 88486755 x 176973511 x 80442523 x 38472525 x 35394755 x 160885115 x 76945253 x 34975275 x 32177575 x 153891265 x 69951399 x 6325
Negative: -1 x -8848675-5 x -1769735-11 x -804425-23 x -384725-25 x -353947-55 x -160885-115 x -76945-253 x -34975-275 x -32177-575 x -15389-1265 x -6995-1399 x -6325


How do I find the factor combinations of the number 8,848,675?

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 8,848,675, 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 8,848,675
-1 -8,848,675

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 8,848,675.

Example:
1 x 8,848,675 = 8,848,675
and
-1 x -8,848,675 = 8,848,675
Notice both answers equal 8,848,675

With that explanation out of the way, let's continue. Next, we take the number 8,848,675 and divide it by 2:

8,848,675 ÷ 2 = 4,424,337.5

If the quotient is a whole number, then 2 and 4,424,337.5 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 8,848,675
-1 -8,848,675

Now, we try dividing 8,848,675 by 3:

8,848,675 ÷ 3 = 2,949,558.3333

If the quotient is a whole number, then 3 and 2,949,558.3333 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 8,848,675
-1 -8,848,675

Let's try dividing by 4:

8,848,675 ÷ 4 = 2,212,168.75

If the quotient is a whole number, then 4 and 2,212,168.75 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 8,848,675
-1 8,848,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15112325551152532755751,2651,3996,3256,99515,38932,17734,97576,945160,885353,947384,725804,4251,769,7358,848,675
-1-5-11-23-25-55-115-253-275-575-1,265-1,399-6,325-6,995-15,389-32,177-34,975-76,945-160,885-353,947-384,725-804,425-1,769,735-8,848,675

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