Q: What are the factor combinations of the number 13,370,387?

 A:
Positive:   1 x 1337038741 x 32610783 x 1610893403 x 3929
Negative: -1 x -13370387-41 x -326107-83 x -161089-3403 x -3929


How do I find the factor combinations of the number 13,370,387?

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 13,370,387, 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 13,370,387
-1 -13,370,387

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 13,370,387.

Example:
1 x 13,370,387 = 13,370,387
and
-1 x -13,370,387 = 13,370,387
Notice both answers equal 13,370,387

With that explanation out of the way, let's continue. Next, we take the number 13,370,387 and divide it by 2:

13,370,387 ÷ 2 = 6,685,193.5

If the quotient is a whole number, then 2 and 6,685,193.5 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 13,370,387
-1 -13,370,387

Now, we try dividing 13,370,387 by 3:

13,370,387 ÷ 3 = 4,456,795.6667

If the quotient is a whole number, then 3 and 4,456,795.6667 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 13,370,387
-1 -13,370,387

Let's try dividing by 4:

13,370,387 ÷ 4 = 3,342,596.75

If the quotient is a whole number, then 4 and 3,342,596.75 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 13,370,387
-1 13,370,387
Keep dividing by the next highest number until you cannot divide anymore.

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

141833,4033,929161,089326,10713,370,387
-1-41-83-3,403-3,929-161,089-326,107-13,370,387

More Examples

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