Q: What are the factor combinations of the number 6,442,699?

 A:
Positive:   1 x 644269931 x 20782937 x 17412741 x 157139137 x 470271147 x 56171271 x 50691517 x 4247
Negative: -1 x -6442699-31 x -207829-37 x -174127-41 x -157139-137 x -47027-1147 x -5617-1271 x -5069-1517 x -4247


How do I find the factor combinations of the number 6,442,699?

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 6,442,699, 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 6,442,699
-1 -6,442,699

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 6,442,699.

Example:
1 x 6,442,699 = 6,442,699
and
-1 x -6,442,699 = 6,442,699
Notice both answers equal 6,442,699

With that explanation out of the way, let's continue. Next, we take the number 6,442,699 and divide it by 2:

6,442,699 ÷ 2 = 3,221,349.5

If the quotient is a whole number, then 2 and 3,221,349.5 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 6,442,699
-1 -6,442,699

Now, we try dividing 6,442,699 by 3:

6,442,699 ÷ 3 = 2,147,566.3333

If the quotient is a whole number, then 3 and 2,147,566.3333 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 6,442,699
-1 -6,442,699

Let's try dividing by 4:

6,442,699 ÷ 4 = 1,610,674.75

If the quotient is a whole number, then 4 and 1,610,674.75 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 6,442,699
-1 6,442,699
Keep dividing by the next highest number until you cannot divide anymore.

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

13137411371,1471,2711,5174,2475,0695,61747,027157,139174,127207,8296,442,699
-1-31-37-41-137-1,147-1,271-1,517-4,247-5,069-5,617-47,027-157,139-174,127-207,829-6,442,699

More Examples

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