Q: What are the factor combinations of the number 83,013,325?

 A:
Positive:   1 x 830133255 x 1660266523 x 360927525 x 3320533115 x 721855529 x 156925575 x 1443712645 x 313856277 x 13225
Negative: -1 x -83013325-5 x -16602665-23 x -3609275-25 x -3320533-115 x -721855-529 x -156925-575 x -144371-2645 x -31385-6277 x -13225


How do I find the factor combinations of the number 83,013,325?

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 83,013,325, 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 83,013,325
-1 -83,013,325

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 83,013,325.

Example:
1 x 83,013,325 = 83,013,325
and
-1 x -83,013,325 = 83,013,325
Notice both answers equal 83,013,325

With that explanation out of the way, let's continue. Next, we take the number 83,013,325 and divide it by 2:

83,013,325 ÷ 2 = 41,506,662.5

If the quotient is a whole number, then 2 and 41,506,662.5 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 83,013,325
-1 -83,013,325

Now, we try dividing 83,013,325 by 3:

83,013,325 ÷ 3 = 27,671,108.3333

If the quotient is a whole number, then 3 and 27,671,108.3333 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 83,013,325
-1 -83,013,325

Let's try dividing by 4:

83,013,325 ÷ 4 = 20,753,331.25

If the quotient is a whole number, then 4 and 20,753,331.25 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 83,013,325
-1 83,013,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251155295752,6456,27713,22531,385144,371156,925721,8553,320,5333,609,27516,602,66583,013,325
-1-5-23-25-115-529-575-2,645-6,277-13,225-31,385-144,371-156,925-721,855-3,320,533-3,609,275-16,602,665-83,013,325

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