Q: What are the factor combinations of the number 5,702,887?

 A:
Positive:   1 x 57028871597 x 3571
Negative: -1 x -5702887-1597 x -3571


How do I find the factor combinations of the number 5,702,887?

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 5,702,887, 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 5,702,887
-1 -5,702,887

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 5,702,887.

Example:
1 x 5,702,887 = 5,702,887
and
-1 x -5,702,887 = 5,702,887
Notice both answers equal 5,702,887

With that explanation out of the way, let's continue. Next, we take the number 5,702,887 and divide it by 2:

5,702,887 ÷ 2 = 2,851,443.5

If the quotient is a whole number, then 2 and 2,851,443.5 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 5,702,887
-1 -5,702,887

Now, we try dividing 5,702,887 by 3:

5,702,887 ÷ 3 = 1,900,962.3333

If the quotient is a whole number, then 3 and 1,900,962.3333 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 5,702,887
-1 -5,702,887

Let's try dividing by 4:

5,702,887 ÷ 4 = 1,425,721.75

If the quotient is a whole number, then 4 and 1,425,721.75 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 5,702,887
-1 5,702,887
Keep dividing by the next highest number until you cannot divide anymore.

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

11,5973,5715,702,887
-1-1,597-3,571-5,702,887

More Examples

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