Q: What are the factor combinations of the number 85,540,117?

 A:
Positive:   1 x 8554011713 x 658000961 x 1402297269 x 317993401 x 213317793 x 1078693497 x 244615213 x 16409
Negative: -1 x -85540117-13 x -6580009-61 x -1402297-269 x -317993-401 x -213317-793 x -107869-3497 x -24461-5213 x -16409


How do I find the factor combinations of the number 85,540,117?

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 85,540,117, 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 85,540,117
-1 -85,540,117

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 85,540,117.

Example:
1 x 85,540,117 = 85,540,117
and
-1 x -85,540,117 = 85,540,117
Notice both answers equal 85,540,117

With that explanation out of the way, let's continue. Next, we take the number 85,540,117 and divide it by 2:

85,540,117 ÷ 2 = 42,770,058.5

If the quotient is a whole number, then 2 and 42,770,058.5 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 85,540,117
-1 -85,540,117

Now, we try dividing 85,540,117 by 3:

85,540,117 ÷ 3 = 28,513,372.3333

If the quotient is a whole number, then 3 and 28,513,372.3333 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 85,540,117
-1 -85,540,117

Let's try dividing by 4:

85,540,117 ÷ 4 = 21,385,029.25

If the quotient is a whole number, then 4 and 21,385,029.25 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 85,540,117
-1 85,540,117
Keep dividing by the next highest number until you cannot divide anymore.

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

113612694017933,4975,21316,40924,461107,869213,317317,9931,402,2976,580,00985,540,117
-1-13-61-269-401-793-3,497-5,213-16,409-24,461-107,869-213,317-317,993-1,402,297-6,580,009-85,540,117

More Examples

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