Q: What are the factor combinations of the number 436,116,121?

 A:
Positive:   1 x 4361161217 x 6230230349 x 89003292731 x 1596913259 x 13381919117 x 22813
Negative: -1 x -436116121-7 x -62302303-49 x -8900329-2731 x -159691-3259 x -133819-19117 x -22813


How do I find the factor combinations of the number 436,116,121?

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 436,116,121, 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.

1 436,116,121
-1 -436,116,121

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 436,116,121.

Example:
1 x 436,116,121 = 436,116,121
and
-1 x -436,116,121 = 436,116,121
Notice both answers equal 436,116,121

With that explanation out of the way, let's continue. Next, we take the number 436,116,121 and divide it by 2:

436,116,121 ÷ 2 = 218,058,060.5

If the quotient is a whole number, then 2 and 218,058,060.5 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:

1 436,116,121
-1 -436,116,121

Now, we try dividing 436,116,121 by 3:

436,116,121 ÷ 3 = 145,372,040.3333

If the quotient is a whole number, then 3 and 145,372,040.3333 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:

1 436,116,121
-1 -436,116,121

Let's try dividing by 4:

436,116,121 ÷ 4 = 109,029,030.25

If the quotient is a whole number, then 4 and 109,029,030.25 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:

1 436,116,121
-1 436,116,121
Keep dividing by the next highest number until you cannot divide anymore.

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

17492,7313,25919,11722,813133,819159,6918,900,32962,302,303436,116,121
-1-7-49-2,731-3,259-19,117-22,813-133,819-159,691-8,900,329-62,302,303-436,116,121

More Examples

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