Q: What are the factor combinations of the number 12,402,497?

 A:
Positive:   1 x 1240249719 x 65276323 x 539239101 x 122797281 x 44137437 x 283811919 x 64632323 x 5339
Negative: -1 x -12402497-19 x -652763-23 x -539239-101 x -122797-281 x -44137-437 x -28381-1919 x -6463-2323 x -5339


How do I find the factor combinations of the number 12,402,497?

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 12,402,497, 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 12,402,497
-1 -12,402,497

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 12,402,497.

Example:
1 x 12,402,497 = 12,402,497
and
-1 x -12,402,497 = 12,402,497
Notice both answers equal 12,402,497

With that explanation out of the way, let's continue. Next, we take the number 12,402,497 and divide it by 2:

12,402,497 ÷ 2 = 6,201,248.5

If the quotient is a whole number, then 2 and 6,201,248.5 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 12,402,497
-1 -12,402,497

Now, we try dividing 12,402,497 by 3:

12,402,497 ÷ 3 = 4,134,165.6667

If the quotient is a whole number, then 3 and 4,134,165.6667 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 12,402,497
-1 -12,402,497

Let's try dividing by 4:

12,402,497 ÷ 4 = 3,100,624.25

If the quotient is a whole number, then 4 and 3,100,624.25 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 12,402,497
-1 12,402,497
Keep dividing by the next highest number until you cannot divide anymore.

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

119231012814371,9192,3235,3396,46328,38144,137122,797539,239652,76312,402,497
-1-19-23-101-281-437-1,919-2,323-5,339-6,463-28,381-44,137-122,797-539,239-652,763-12,402,497

More Examples

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