Q: What are the factor combinations of the number 7,798,189?

 A:
Positive:   1 x 77981897 x 111402717 x 45871719 x 410431119 x 65531133 x 58633323 x 241432261 x 3449
Negative: -1 x -7798189-7 x -1114027-17 x -458717-19 x -410431-119 x -65531-133 x -58633-323 x -24143-2261 x -3449


How do I find the factor combinations of the number 7,798,189?

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 7,798,189, 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 7,798,189
-1 -7,798,189

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 7,798,189.

Example:
1 x 7,798,189 = 7,798,189
and
-1 x -7,798,189 = 7,798,189
Notice both answers equal 7,798,189

With that explanation out of the way, let's continue. Next, we take the number 7,798,189 and divide it by 2:

7,798,189 ÷ 2 = 3,899,094.5

If the quotient is a whole number, then 2 and 3,899,094.5 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 7,798,189
-1 -7,798,189

Now, we try dividing 7,798,189 by 3:

7,798,189 ÷ 3 = 2,599,396.3333

If the quotient is a whole number, then 3 and 2,599,396.3333 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 7,798,189
-1 -7,798,189

Let's try dividing by 4:

7,798,189 ÷ 4 = 1,949,547.25

If the quotient is a whole number, then 4 and 1,949,547.25 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 7,798,189
-1 7,798,189
Keep dividing by the next highest number until you cannot divide anymore.

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

1717191191333232,2613,44924,14358,63365,531410,431458,7171,114,0277,798,189
-1-7-17-19-119-133-323-2,261-3,449-24,143-58,633-65,531-410,431-458,717-1,114,027-7,798,189

More Examples

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