Q: What are the factor combinations of the number 144,204,235?

 A:
Positive:   1 x 1442042355 x 288408477 x 2060060535 x 4120121239 x 6033651195 x 1206731673 x 861958365 x 17239
Negative: -1 x -144204235-5 x -28840847-7 x -20600605-35 x -4120121-239 x -603365-1195 x -120673-1673 x -86195-8365 x -17239


How do I find the factor combinations of the number 144,204,235?

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 144,204,235, 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.

1 144,204,235
-1 -144,204,235

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 144,204,235.

Example:
1 x 144,204,235 = 144,204,235
and
-1 x -144,204,235 = 144,204,235
Notice both answers equal 144,204,235

With that explanation out of the way, let's continue. Next, we take the number 144,204,235 and divide it by 2:

144,204,235 ÷ 2 = 72,102,117.5

If the quotient is a whole number, then 2 and 72,102,117.5 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:

1 144,204,235
-1 -144,204,235

Now, we try dividing 144,204,235 by 3:

144,204,235 ÷ 3 = 48,068,078.3333

If the quotient is a whole number, then 3 and 48,068,078.3333 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:

1 144,204,235
-1 -144,204,235

Let's try dividing by 4:

144,204,235 ÷ 4 = 36,051,058.75

If the quotient is a whole number, then 4 and 36,051,058.75 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:

1 144,204,235
-1 144,204,235
Keep dividing by the next highest number until you cannot divide anymore.

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

157352391,1951,6738,36517,23986,195120,673603,3654,120,12120,600,60528,840,847144,204,235
-1-5-7-35-239-1,195-1,673-8,365-17,239-86,195-120,673-603,365-4,120,121-20,600,605-28,840,847-144,204,235

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