Q: What are the factor combinations of the number 434,040,425?

 A:
Positive:   1 x 4340404255 x 868080857 x 6200577513 x 3338772525 x 1736161735 x 1240115565 x 667754591 x 4769675175 x 2480231325 x 1335509455 x 9539352275 x 190787
Negative: -1 x -434040425-5 x -86808085-7 x -62005775-13 x -33387725-25 x -17361617-35 x -12401155-65 x -6677545-91 x -4769675-175 x -2480231-325 x -1335509-455 x -953935-2275 x -190787


How do I find the factor combinations of the number 434,040,425?

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 434,040,425, 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.

1 434,040,425
-1 -434,040,425

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 434,040,425.

Example:
1 x 434,040,425 = 434,040,425
and
-1 x -434,040,425 = 434,040,425
Notice both answers equal 434,040,425

With that explanation out of the way, let's continue. Next, we take the number 434,040,425 and divide it by 2:

434,040,425 ÷ 2 = 217,020,212.5

If the quotient is a whole number, then 2 and 217,020,212.5 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:

1 434,040,425
-1 -434,040,425

Now, we try dividing 434,040,425 by 3:

434,040,425 ÷ 3 = 144,680,141.6667

If the quotient is a whole number, then 3 and 144,680,141.6667 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:

1 434,040,425
-1 -434,040,425

Let's try dividing by 4:

434,040,425 ÷ 4 = 108,510,106.25

If the quotient is a whole number, then 4 and 108,510,106.25 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:

1 434,040,425
-1 434,040,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,275190,787953,9351,335,5092,480,2314,769,6756,677,54512,401,15517,361,61733,387,72562,005,77586,808,085434,040,425
-1-5-7-13-25-35-65-91-175-325-455-2,275-190,787-953,935-1,335,509-2,480,231-4,769,675-6,677,545-12,401,155-17,361,617-33,387,725-62,005,775-86,808,085-434,040,425

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