Q: What are the factor combinations of the number 72,783,425?

 A:
Positive:   1 x 727834255 x 1455668511 x 661667513 x 559872525 x 291133755 x 132333565 x 1119745143 x 508975275 x 264667325 x 223949715 x 1017953575 x 20359
Negative: -1 x -72783425-5 x -14556685-11 x -6616675-13 x -5598725-25 x -2911337-55 x -1323335-65 x -1119745-143 x -508975-275 x -264667-325 x -223949-715 x -101795-3575 x -20359


How do I find the factor combinations of the number 72,783,425?

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 72,783,425, 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 72,783,425
-1 -72,783,425

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 72,783,425.

Example:
1 x 72,783,425 = 72,783,425
and
-1 x -72,783,425 = 72,783,425
Notice both answers equal 72,783,425

With that explanation out of the way, let's continue. Next, we take the number 72,783,425 and divide it by 2:

72,783,425 ÷ 2 = 36,391,712.5

If the quotient is a whole number, then 2 and 36,391,712.5 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 72,783,425
-1 -72,783,425

Now, we try dividing 72,783,425 by 3:

72,783,425 ÷ 3 = 24,261,141.6667

If the quotient is a whole number, then 3 and 24,261,141.6667 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 72,783,425
-1 -72,783,425

Let's try dividing by 4:

72,783,425 ÷ 4 = 18,195,856.25

If the quotient is a whole number, then 4 and 18,195,856.25 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 72,783,425
-1 72,783,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651432753257153,57520,359101,795223,949264,667508,9751,119,7451,323,3352,911,3375,598,7256,616,67514,556,68572,783,425
-1-5-11-13-25-55-65-143-275-325-715-3,575-20,359-101,795-223,949-264,667-508,975-1,119,745-1,323,335-2,911,337-5,598,725-6,616,675-14,556,685-72,783,425

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