Q: What are the factor combinations of the number 6,140,699?

 A:
Positive:   1 x 6140699101 x 60799163 x 37673373 x 16463
Negative: -1 x -6140699-101 x -60799-163 x -37673-373 x -16463


How do I find the factor combinations of the number 6,140,699?

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 6,140,699, 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 6,140,699
-1 -6,140,699

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 6,140,699.

Example:
1 x 6,140,699 = 6,140,699
and
-1 x -6,140,699 = 6,140,699
Notice both answers equal 6,140,699

With that explanation out of the way, let's continue. Next, we take the number 6,140,699 and divide it by 2:

6,140,699 ÷ 2 = 3,070,349.5

If the quotient is a whole number, then 2 and 3,070,349.5 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 6,140,699
-1 -6,140,699

Now, we try dividing 6,140,699 by 3:

6,140,699 ÷ 3 = 2,046,899.6667

If the quotient is a whole number, then 3 and 2,046,899.6667 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 6,140,699
-1 -6,140,699

Let's try dividing by 4:

6,140,699 ÷ 4 = 1,535,174.75

If the quotient is a whole number, then 4 and 1,535,174.75 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 6,140,699
-1 6,140,699
Keep dividing by the next highest number until you cannot divide anymore.

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

110116337316,46337,67360,7996,140,699
-1-101-163-373-16,463-37,673-60,799-6,140,699

More Examples

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