Q: What are the factor combinations of the number 11,738,069?

 A:
Positive:   1 x 117380697 x 167686729 x 40476153 x 221473203 x 57823371 x 316391091 x 107591537 x 7637
Negative: -1 x -11738069-7 x -1676867-29 x -404761-53 x -221473-203 x -57823-371 x -31639-1091 x -10759-1537 x -7637


How do I find the factor combinations of the number 11,738,069?

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 11,738,069, 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 11,738,069
-1 -11,738,069

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 11,738,069.

Example:
1 x 11,738,069 = 11,738,069
and
-1 x -11,738,069 = 11,738,069
Notice both answers equal 11,738,069

With that explanation out of the way, let's continue. Next, we take the number 11,738,069 and divide it by 2:

11,738,069 ÷ 2 = 5,869,034.5

If the quotient is a whole number, then 2 and 5,869,034.5 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 11,738,069
-1 -11,738,069

Now, we try dividing 11,738,069 by 3:

11,738,069 ÷ 3 = 3,912,689.6667

If the quotient is a whole number, then 3 and 3,912,689.6667 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 11,738,069
-1 -11,738,069

Let's try dividing by 4:

11,738,069 ÷ 4 = 2,934,517.25

If the quotient is a whole number, then 4 and 2,934,517.25 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 11,738,069
-1 11,738,069
Keep dividing by the next highest number until you cannot divide anymore.

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

1729532033711,0911,5377,63710,75931,63957,823221,473404,7611,676,86711,738,069
-1-7-29-53-203-371-1,091-1,537-7,637-10,759-31,639-57,823-221,473-404,761-1,676,867-11,738,069

More Examples

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