Q: What are the factor combinations of the number 36,023,335?

 A:
Positive:   1 x 360233355 x 720466719 x 189596559 x 61056595 x 379193295 x 1221131121 x 321355605 x 6427
Negative: -1 x -36023335-5 x -7204667-19 x -1895965-59 x -610565-95 x -379193-295 x -122113-1121 x -32135-5605 x -6427


How do I find the factor combinations of the number 36,023,335?

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 36,023,335, 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 36,023,335
-1 -36,023,335

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 36,023,335.

Example:
1 x 36,023,335 = 36,023,335
and
-1 x -36,023,335 = 36,023,335
Notice both answers equal 36,023,335

With that explanation out of the way, let's continue. Next, we take the number 36,023,335 and divide it by 2:

36,023,335 ÷ 2 = 18,011,667.5

If the quotient is a whole number, then 2 and 18,011,667.5 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 36,023,335
-1 -36,023,335

Now, we try dividing 36,023,335 by 3:

36,023,335 ÷ 3 = 12,007,778.3333

If the quotient is a whole number, then 3 and 12,007,778.3333 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 36,023,335
-1 -36,023,335

Let's try dividing by 4:

36,023,335 ÷ 4 = 9,005,833.75

If the quotient is a whole number, then 4 and 9,005,833.75 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 36,023,335
-1 36,023,335
Keep dividing by the next highest number until you cannot divide anymore.

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

151959952951,1215,6056,42732,135122,113379,193610,5651,895,9657,204,66736,023,335
-1-5-19-59-95-295-1,121-5,605-6,427-32,135-122,113-379,193-610,565-1,895,965-7,204,667-36,023,335

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