Q: What are the factor combinations of the number 747,985?

 A:
Positive:   1 x 7479855 x 1495977 x 10685535 x 2137143 x 1739549 x 1526571 x 10535215 x 3479245 x 3053301 x 2485355 x 2107497 x 1505
Negative: -1 x -747985-5 x -149597-7 x -106855-35 x -21371-43 x -17395-49 x -15265-71 x -10535-215 x -3479-245 x -3053-301 x -2485-355 x -2107-497 x -1505


How do I find the factor combinations of the number 747,985?

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 747,985, 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.

1 747,985
-1 -747,985

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 747,985.

Example:
1 x 747,985 = 747,985
and
-1 x -747,985 = 747,985
Notice both answers equal 747,985

With that explanation out of the way, let's continue. Next, we take the number 747,985 and divide it by 2:

747,985 ÷ 2 = 373,992.5

If the quotient is a whole number, then 2 and 373,992.5 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:

1 747,985
-1 -747,985

Now, we try dividing 747,985 by 3:

747,985 ÷ 3 = 249,328.3333

If the quotient is a whole number, then 3 and 249,328.3333 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:

1 747,985
-1 -747,985

Let's try dividing by 4:

747,985 ÷ 4 = 186,996.25

If the quotient is a whole number, then 4 and 186,996.25 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:

1 747,985
-1 747,985
Keep dividing by the next highest number until you cannot divide anymore.

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

157354349712152453013554971,5052,1072,4853,0533,47910,53515,26517,39521,371106,855149,597747,985
-1-5-7-35-43-49-71-215-245-301-355-497-1,505-2,107-2,485-3,053-3,479-10,535-15,265-17,395-21,371-106,855-149,597-747,985

More Examples

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