Q: What are the factor combinations of the number 13,017,229?

 A:
Positive:   1 x 1301722937 x 35181759 x 22063167 x 19428789 x 1462612183 x 59632479 x 52513293 x 3953
Negative: -1 x -13017229-37 x -351817-59 x -220631-67 x -194287-89 x -146261-2183 x -5963-2479 x -5251-3293 x -3953


How do I find the factor combinations of the number 13,017,229?

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 13,017,229, 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 13,017,229
-1 -13,017,229

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 13,017,229.

Example:
1 x 13,017,229 = 13,017,229
and
-1 x -13,017,229 = 13,017,229
Notice both answers equal 13,017,229

With that explanation out of the way, let's continue. Next, we take the number 13,017,229 and divide it by 2:

13,017,229 ÷ 2 = 6,508,614.5

If the quotient is a whole number, then 2 and 6,508,614.5 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 13,017,229
-1 -13,017,229

Now, we try dividing 13,017,229 by 3:

13,017,229 ÷ 3 = 4,339,076.3333

If the quotient is a whole number, then 3 and 4,339,076.3333 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 13,017,229
-1 -13,017,229

Let's try dividing by 4:

13,017,229 ÷ 4 = 3,254,307.25

If the quotient is a whole number, then 4 and 3,254,307.25 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 13,017,229
-1 13,017,229
Keep dividing by the next highest number until you cannot divide anymore.

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

1375967892,1832,4793,2933,9535,2515,963146,261194,287220,631351,81713,017,229
-1-37-59-67-89-2,183-2,479-3,293-3,953-5,251-5,963-146,261-194,287-220,631-351,817-13,017,229

More Examples

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