Q: What are the factor combinations of the number 5,717,159?

 A:
Positive:   1 x 57171597 x 81673759 x 96901109 x 52451127 x 45017413 x 13843763 x 7493889 x 6431
Negative: -1 x -5717159-7 x -816737-59 x -96901-109 x -52451-127 x -45017-413 x -13843-763 x -7493-889 x -6431


How do I find the factor combinations of the number 5,717,159?

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 5,717,159, 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 5,717,159
-1 -5,717,159

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 5,717,159.

Example:
1 x 5,717,159 = 5,717,159
and
-1 x -5,717,159 = 5,717,159
Notice both answers equal 5,717,159

With that explanation out of the way, let's continue. Next, we take the number 5,717,159 and divide it by 2:

5,717,159 ÷ 2 = 2,858,579.5

If the quotient is a whole number, then 2 and 2,858,579.5 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 5,717,159
-1 -5,717,159

Now, we try dividing 5,717,159 by 3:

5,717,159 ÷ 3 = 1,905,719.6667

If the quotient is a whole number, then 3 and 1,905,719.6667 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 5,717,159
-1 -5,717,159

Let's try dividing by 4:

5,717,159 ÷ 4 = 1,429,289.75

If the quotient is a whole number, then 4 and 1,429,289.75 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 5,717,159
-1 5,717,159
Keep dividing by the next highest number until you cannot divide anymore.

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

17591091274137638896,4317,49313,84345,01752,45196,901816,7375,717,159
-1-7-59-109-127-413-763-889-6,431-7,493-13,843-45,017-52,451-96,901-816,737-5,717,159

More Examples

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