Q: What are the factor combinations of the number 302,032,325?

 A:
Positive:   1 x 3020323255 x 604064657 x 4314747525 x 1208129335 x 862949549 x 6163925175 x 1725899245 x 12327851225 x 246557
Negative: -1 x -302032325-5 x -60406465-7 x -43147475-25 x -12081293-35 x -8629495-49 x -6163925-175 x -1725899-245 x -1232785-1225 x -246557


How do I find the factor combinations of the number 302,032,325?

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 302,032,325, 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.

1 302,032,325
-1 -302,032,325

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 302,032,325.

Example:
1 x 302,032,325 = 302,032,325
and
-1 x -302,032,325 = 302,032,325
Notice both answers equal 302,032,325

With that explanation out of the way, let's continue. Next, we take the number 302,032,325 and divide it by 2:

302,032,325 ÷ 2 = 151,016,162.5

If the quotient is a whole number, then 2 and 151,016,162.5 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:

1 302,032,325
-1 -302,032,325

Now, we try dividing 302,032,325 by 3:

302,032,325 ÷ 3 = 100,677,441.6667

If the quotient is a whole number, then 3 and 100,677,441.6667 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:

1 302,032,325
-1 -302,032,325

Let's try dividing by 4:

302,032,325 ÷ 4 = 75,508,081.25

If the quotient is a whole number, then 4 and 75,508,081.25 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:

1 302,032,325
-1 302,032,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,225246,5571,232,7851,725,8996,163,9258,629,49512,081,29343,147,47560,406,465302,032,325
-1-5-7-25-35-49-175-245-1,225-246,557-1,232,785-1,725,899-6,163,925-8,629,495-12,081,293-43,147,475-60,406,465-302,032,325

More Examples

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