Q: What are the factor combinations of the number 424,504,003?

 A:
Positive:   1 x 4245040037 x 6064342911 x 3859127349 x 866334777 x 5513039343 x 1237621539 x 7875772401 x 1768033773 x 11251116073 x 26411
Negative: -1 x -424504003-7 x -60643429-11 x -38591273-49 x -8663347-77 x -5513039-343 x -1237621-539 x -787577-2401 x -176803-3773 x -112511-16073 x -26411


How do I find the factor combinations of the number 424,504,003?

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 424,504,003, 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.

1 424,504,003
-1 -424,504,003

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 424,504,003.

Example:
1 x 424,504,003 = 424,504,003
and
-1 x -424,504,003 = 424,504,003
Notice both answers equal 424,504,003

With that explanation out of the way, let's continue. Next, we take the number 424,504,003 and divide it by 2:

424,504,003 ÷ 2 = 212,252,001.5

If the quotient is a whole number, then 2 and 212,252,001.5 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:

1 424,504,003
-1 -424,504,003

Now, we try dividing 424,504,003 by 3:

424,504,003 ÷ 3 = 141,501,334.3333

If the quotient is a whole number, then 3 and 141,501,334.3333 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:

1 424,504,003
-1 -424,504,003

Let's try dividing by 4:

424,504,003 ÷ 4 = 106,126,000.75

If the quotient is a whole number, then 4 and 106,126,000.75 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:

1 424,504,003
-1 424,504,003
Keep dividing by the next highest number until you cannot divide anymore.

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

171149773435392,4013,77316,07326,411112,511176,803787,5771,237,6215,513,0398,663,34738,591,27360,643,429424,504,003
-1-7-11-49-77-343-539-2,401-3,773-16,073-26,411-112,511-176,803-787,577-1,237,621-5,513,039-8,663,347-38,591,273-60,643,429-424,504,003

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