Q: What are the factor combinations of the number 1,401,631?

 A:
Positive:   1 x 14016317 x 20023311 x 12742177 x 18203109 x 12859167 x 8393763 x 18371169 x 1199
Negative: -1 x -1401631-7 x -200233-11 x -127421-77 x -18203-109 x -12859-167 x -8393-763 x -1837-1169 x -1199


How do I find the factor combinations of the number 1,401,631?

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 1,401,631, 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 1,401,631
-1 -1,401,631

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 1,401,631.

Example:
1 x 1,401,631 = 1,401,631
and
-1 x -1,401,631 = 1,401,631
Notice both answers equal 1,401,631

With that explanation out of the way, let's continue. Next, we take the number 1,401,631 and divide it by 2:

1,401,631 ÷ 2 = 700,815.5

If the quotient is a whole number, then 2 and 700,815.5 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 1,401,631
-1 -1,401,631

Now, we try dividing 1,401,631 by 3:

1,401,631 ÷ 3 = 467,210.3333

If the quotient is a whole number, then 3 and 467,210.3333 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 1,401,631
-1 -1,401,631

Let's try dividing by 4:

1,401,631 ÷ 4 = 350,407.75

If the quotient is a whole number, then 4 and 350,407.75 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 1,401,631
-1 1,401,631
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771091677631,1691,1991,8378,39312,85918,203127,421200,2331,401,631
-1-7-11-77-109-167-763-1,169-1,199-1,837-8,393-12,859-18,203-127,421-200,233-1,401,631

More Examples

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