Q: What are the factor combinations of the number 83,823,355?

 A:
Positive:   1 x 838233555 x 167646717 x 1197476511 x 762030535 x 239495355 x 152406177 x 1088615121 x 692755385 x 217723605 x 138551847 x 989654235 x 19793
Negative: -1 x -83823355-5 x -16764671-7 x -11974765-11 x -7620305-35 x -2394953-55 x -1524061-77 x -1088615-121 x -692755-385 x -217723-605 x -138551-847 x -98965-4235 x -19793


How do I find the factor combinations of the number 83,823,355?

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 83,823,355, 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 83,823,355
-1 -83,823,355

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 83,823,355.

Example:
1 x 83,823,355 = 83,823,355
and
-1 x -83,823,355 = 83,823,355
Notice both answers equal 83,823,355

With that explanation out of the way, let's continue. Next, we take the number 83,823,355 and divide it by 2:

83,823,355 ÷ 2 = 41,911,677.5

If the quotient is a whole number, then 2 and 41,911,677.5 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 83,823,355
-1 -83,823,355

Now, we try dividing 83,823,355 by 3:

83,823,355 ÷ 3 = 27,941,118.3333

If the quotient is a whole number, then 3 and 27,941,118.3333 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 83,823,355
-1 -83,823,355

Let's try dividing by 4:

83,823,355 ÷ 4 = 20,955,838.75

If the quotient is a whole number, then 4 and 20,955,838.75 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 83,823,355
-1 83,823,355
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555771213856058474,23519,79398,965138,551217,723692,7551,088,6151,524,0612,394,9537,620,30511,974,76516,764,67183,823,355
-1-5-7-11-35-55-77-121-385-605-847-4,235-19,793-98,965-138,551-217,723-692,755-1,088,615-1,524,061-2,394,953-7,620,305-11,974,765-16,764,671-83,823,355

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