Q: What are the factor combinations of the number 537,668,677?

 A:
Positive:   1 x 5376686777 x 7680981113 x 4135912923 x 2337689991 x 5908447161 x 3339557299 x 17982232093 x 256889
Negative: -1 x -537668677-7 x -76809811-13 x -41359129-23 x -23376899-91 x -5908447-161 x -3339557-299 x -1798223-2093 x -256889


How do I find the factor combinations of the number 537,668,677?

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 537,668,677, 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.

1 537,668,677
-1 -537,668,677

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 537,668,677.

Example:
1 x 537,668,677 = 537,668,677
and
-1 x -537,668,677 = 537,668,677
Notice both answers equal 537,668,677

With that explanation out of the way, let's continue. Next, we take the number 537,668,677 and divide it by 2:

537,668,677 ÷ 2 = 268,834,338.5

If the quotient is a whole number, then 2 and 268,834,338.5 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:

1 537,668,677
-1 -537,668,677

Now, we try dividing 537,668,677 by 3:

537,668,677 ÷ 3 = 179,222,892.3333

If the quotient is a whole number, then 3 and 179,222,892.3333 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:

1 537,668,677
-1 -537,668,677

Let's try dividing by 4:

537,668,677 ÷ 4 = 134,417,169.25

If the quotient is a whole number, then 4 and 134,417,169.25 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:

1 537,668,677
-1 537,668,677
Keep dividing by the next highest number until you cannot divide anymore.

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

171323911612992,093256,8891,798,2233,339,5575,908,44723,376,89941,359,12976,809,811537,668,677
-1-7-13-23-91-161-299-2,093-256,889-1,798,223-3,339,557-5,908,447-23,376,899-41,359,129-76,809,811-537,668,677

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