Q: What are the factor combinations of the number 7,158,389?

 A:
Positive:   1 x 71583897 x 102262729 x 246841179 x 39991197 x 36337203 x 352631253 x 57131379 x 5191
Negative: -1 x -7158389-7 x -1022627-29 x -246841-179 x -39991-197 x -36337-203 x -35263-1253 x -5713-1379 x -5191


How do I find the factor combinations of the number 7,158,389?

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 7,158,389, 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 7,158,389
-1 -7,158,389

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 7,158,389.

Example:
1 x 7,158,389 = 7,158,389
and
-1 x -7,158,389 = 7,158,389
Notice both answers equal 7,158,389

With that explanation out of the way, let's continue. Next, we take the number 7,158,389 and divide it by 2:

7,158,389 ÷ 2 = 3,579,194.5

If the quotient is a whole number, then 2 and 3,579,194.5 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 7,158,389
-1 -7,158,389

Now, we try dividing 7,158,389 by 3:

7,158,389 ÷ 3 = 2,386,129.6667

If the quotient is a whole number, then 3 and 2,386,129.6667 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 7,158,389
-1 -7,158,389

Let's try dividing by 4:

7,158,389 ÷ 4 = 1,789,597.25

If the quotient is a whole number, then 4 and 1,789,597.25 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 7,158,389
-1 7,158,389
Keep dividing by the next highest number until you cannot divide anymore.

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

17291791972031,2531,3795,1915,71335,26336,33739,991246,8411,022,6277,158,389
-1-7-29-179-197-203-1,253-1,379-5,191-5,713-35,263-36,337-39,991-246,841-1,022,627-7,158,389

More Examples

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