Q: What are the factor combinations of the number 301,032,325?

 A:
Positive:   1 x 3010323255 x 6020646511 x 2736657525 x 1204129329 x 1038042555 x 5473315145 x 2076085275 x 1094663319 x 943675725 x 4152171595 x 1887357975 x 37747
Negative: -1 x -301032325-5 x -60206465-11 x -27366575-25 x -12041293-29 x -10380425-55 x -5473315-145 x -2076085-275 x -1094663-319 x -943675-725 x -415217-1595 x -188735-7975 x -37747


How do I find the factor combinations of the number 301,032,325?

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 301,032,325, 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.

1 301,032,325
-1 -301,032,325

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 301,032,325.

Example:
1 x 301,032,325 = 301,032,325
and
-1 x -301,032,325 = 301,032,325
Notice both answers equal 301,032,325

With that explanation out of the way, let's continue. Next, we take the number 301,032,325 and divide it by 2:

301,032,325 ÷ 2 = 150,516,162.5

If the quotient is a whole number, then 2 and 150,516,162.5 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:

1 301,032,325
-1 -301,032,325

Now, we try dividing 301,032,325 by 3:

301,032,325 ÷ 3 = 100,344,108.3333

If the quotient is a whole number, then 3 and 100,344,108.3333 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:

1 301,032,325
-1 -301,032,325

Let's try dividing by 4:

301,032,325 ÷ 4 = 75,258,081.25

If the quotient is a whole number, then 4 and 75,258,081.25 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:

1 301,032,325
-1 301,032,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15112529551452753197251,5957,97537,747188,735415,217943,6751,094,6632,076,0855,473,31510,380,42512,041,29327,366,57560,206,465301,032,325
-1-5-11-25-29-55-145-275-319-725-1,595-7,975-37,747-188,735-415,217-943,675-1,094,663-2,076,085-5,473,315-10,380,425-12,041,293-27,366,575-60,206,465-301,032,325

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