Q: What are the factor combinations of the number 5,177,425?

 A:
Positive:   1 x 51774255 x 103548511 x 47067525 x 20709755 x 9413567 x 77275275 x 18827281 x 18425335 x 15455737 x 70251405 x 36851675 x 3091
Negative: -1 x -5177425-5 x -1035485-11 x -470675-25 x -207097-55 x -94135-67 x -77275-275 x -18827-281 x -18425-335 x -15455-737 x -7025-1405 x -3685-1675 x -3091


How do I find the factor combinations of the number 5,177,425?

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 5,177,425, 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 5,177,425
-1 -5,177,425

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 5,177,425.

Example:
1 x 5,177,425 = 5,177,425
and
-1 x -5,177,425 = 5,177,425
Notice both answers equal 5,177,425

With that explanation out of the way, let's continue. Next, we take the number 5,177,425 and divide it by 2:

5,177,425 ÷ 2 = 2,588,712.5

If the quotient is a whole number, then 2 and 2,588,712.5 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 5,177,425
-1 -5,177,425

Now, we try dividing 5,177,425 by 3:

5,177,425 ÷ 3 = 1,725,808.3333

If the quotient is a whole number, then 3 and 1,725,808.3333 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 5,177,425
-1 -5,177,425

Let's try dividing by 4:

5,177,425 ÷ 4 = 1,294,356.25

If the quotient is a whole number, then 4 and 1,294,356.25 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 5,177,425
-1 5,177,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555672752813357371,4051,6753,0913,6857,02515,45518,42518,82777,27594,135207,097470,6751,035,4855,177,425
-1-5-11-25-55-67-275-281-335-737-1,405-1,675-3,091-3,685-7,025-15,455-18,425-18,827-77,275-94,135-207,097-470,675-1,035,485-5,177,425

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