Q: What are the factor combinations of the number 168,381,235?

 A:
Positive:   1 x 1683812355 x 3367624711 x 1530738555 x 3061477673 x 2501953365 x 500394549 x 370157403 x 22745
Negative: -1 x -168381235-5 x -33676247-11 x -15307385-55 x -3061477-673 x -250195-3365 x -50039-4549 x -37015-7403 x -22745


How do I find the factor combinations of the number 168,381,235?

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 168,381,235, 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.

1 168,381,235
-1 -168,381,235

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 168,381,235.

Example:
1 x 168,381,235 = 168,381,235
and
-1 x -168,381,235 = 168,381,235
Notice both answers equal 168,381,235

With that explanation out of the way, let's continue. Next, we take the number 168,381,235 and divide it by 2:

168,381,235 ÷ 2 = 84,190,617.5

If the quotient is a whole number, then 2 and 84,190,617.5 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:

1 168,381,235
-1 -168,381,235

Now, we try dividing 168,381,235 by 3:

168,381,235 ÷ 3 = 56,127,078.3333

If the quotient is a whole number, then 3 and 56,127,078.3333 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:

1 168,381,235
-1 -168,381,235

Let's try dividing by 4:

168,381,235 ÷ 4 = 42,095,308.75

If the quotient is a whole number, then 4 and 42,095,308.75 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:

1 168,381,235
-1 168,381,235
Keep dividing by the next highest number until you cannot divide anymore.

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

1511556733,3654,5497,40322,74537,01550,039250,1953,061,47715,307,38533,676,247168,381,235
-1-5-11-55-673-3,365-4,549-7,403-22,745-37,015-50,039-250,195-3,061,477-15,307,385-33,676,247-168,381,235

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