Q: What are the factor combinations of the number 10,671,655?

 A:
Positive:   1 x 106716555 x 213433123 x 46398571 x 150305115 x 92797355 x 300611307 x 81651633 x 6535
Negative: -1 x -10671655-5 x -2134331-23 x -463985-71 x -150305-115 x -92797-355 x -30061-1307 x -8165-1633 x -6535


How do I find the factor combinations of the number 10,671,655?

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 10,671,655, 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 10,671,655
-1 -10,671,655

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 10,671,655.

Example:
1 x 10,671,655 = 10,671,655
and
-1 x -10,671,655 = 10,671,655
Notice both answers equal 10,671,655

With that explanation out of the way, let's continue. Next, we take the number 10,671,655 and divide it by 2:

10,671,655 ÷ 2 = 5,335,827.5

If the quotient is a whole number, then 2 and 5,335,827.5 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 10,671,655
-1 -10,671,655

Now, we try dividing 10,671,655 by 3:

10,671,655 ÷ 3 = 3,557,218.3333

If the quotient is a whole number, then 3 and 3,557,218.3333 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 10,671,655
-1 -10,671,655

Let's try dividing by 4:

10,671,655 ÷ 4 = 2,667,913.75

If the quotient is a whole number, then 4 and 2,667,913.75 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 10,671,655
-1 10,671,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1523711153551,3071,6336,5358,16530,06192,797150,305463,9852,134,33110,671,655
-1-5-23-71-115-355-1,307-1,633-6,535-8,165-30,061-92,797-150,305-463,985-2,134,331-10,671,655

More Examples

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