Q: What are the factor combinations of the number 13,000,949?

 A:
Positive:   1 x 1300094913 x 100007337 x 351377151 x 86099179 x 72631481 x 270291963 x 66232327 x 5587
Negative: -1 x -13000949-13 x -1000073-37 x -351377-151 x -86099-179 x -72631-481 x -27029-1963 x -6623-2327 x -5587


How do I find the factor combinations of the number 13,000,949?

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 13,000,949, 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 13,000,949
-1 -13,000,949

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 13,000,949.

Example:
1 x 13,000,949 = 13,000,949
and
-1 x -13,000,949 = 13,000,949
Notice both answers equal 13,000,949

With that explanation out of the way, let's continue. Next, we take the number 13,000,949 and divide it by 2:

13,000,949 ÷ 2 = 6,500,474.5

If the quotient is a whole number, then 2 and 6,500,474.5 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 13,000,949
-1 -13,000,949

Now, we try dividing 13,000,949 by 3:

13,000,949 ÷ 3 = 4,333,649.6667

If the quotient is a whole number, then 3 and 4,333,649.6667 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 13,000,949
-1 -13,000,949

Let's try dividing by 4:

13,000,949 ÷ 4 = 3,250,237.25

If the quotient is a whole number, then 4 and 3,250,237.25 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 13,000,949
-1 13,000,949
Keep dividing by the next highest number until you cannot divide anymore.

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

113371511794811,9632,3275,5876,62327,02972,63186,099351,3771,000,07313,000,949
-1-13-37-151-179-481-1,963-2,327-5,587-6,623-27,029-72,631-86,099-351,377-1,000,073-13,000,949

More Examples

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