Q: What are the factor combinations of the number 12,570,701?

 A:
Positive:   1 x 1257070111 x 114279113 x 96697717 x 739453143 x 87907187 x 67223221 x 568812431 x 5171
Negative: -1 x -12570701-11 x -1142791-13 x -966977-17 x -739453-143 x -87907-187 x -67223-221 x -56881-2431 x -5171


How do I find the factor combinations of the number 12,570,701?

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 12,570,701, 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 12,570,701
-1 -12,570,701

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 12,570,701.

Example:
1 x 12,570,701 = 12,570,701
and
-1 x -12,570,701 = 12,570,701
Notice both answers equal 12,570,701

With that explanation out of the way, let's continue. Next, we take the number 12,570,701 and divide it by 2:

12,570,701 ÷ 2 = 6,285,350.5

If the quotient is a whole number, then 2 and 6,285,350.5 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 12,570,701
-1 -12,570,701

Now, we try dividing 12,570,701 by 3:

12,570,701 ÷ 3 = 4,190,233.6667

If the quotient is a whole number, then 3 and 4,190,233.6667 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 12,570,701
-1 -12,570,701

Let's try dividing by 4:

12,570,701 ÷ 4 = 3,142,675.25

If the quotient is a whole number, then 4 and 3,142,675.25 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 12,570,701
-1 12,570,701
Keep dividing by the next highest number until you cannot divide anymore.

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

11113171431872212,4315,17156,88167,22387,907739,453966,9771,142,79112,570,701
-1-11-13-17-143-187-221-2,431-5,171-56,881-67,223-87,907-739,453-966,977-1,142,791-12,570,701

More Examples

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