Q: What are the factor combinations of the number 949,949?

 A:
Positive:   1 x 9499497 x 13570711 x 8635913 x 7307373 x 1301377 x 1233791 x 10439143 x 6643169 x 5621511 x 1859803 x 1183949 x 1001
Negative: -1 x -949949-7 x -135707-11 x -86359-13 x -73073-73 x -13013-77 x -12337-91 x -10439-143 x -6643-169 x -5621-511 x -1859-803 x -1183-949 x -1001


How do I find the factor combinations of the number 949,949?

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 949,949, 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.

1 949,949
-1 -949,949

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 949,949.

Example:
1 x 949,949 = 949,949
and
-1 x -949,949 = 949,949
Notice both answers equal 949,949

With that explanation out of the way, let's continue. Next, we take the number 949,949 and divide it by 2:

949,949 ÷ 2 = 474,974.5

If the quotient is a whole number, then 2 and 474,974.5 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:

1 949,949
-1 -949,949

Now, we try dividing 949,949 by 3:

949,949 ÷ 3 = 316,649.6667

If the quotient is a whole number, then 3 and 316,649.6667 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:

1 949,949
-1 -949,949

Let's try dividing by 4:

949,949 ÷ 4 = 237,487.25

If the quotient is a whole number, then 4 and 237,487.25 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:

1 949,949
-1 949,949
Keep dividing by the next highest number until you cannot divide anymore.

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

1711137377911431695118039491,0011,1831,8595,6216,64310,43912,33713,01373,07386,359135,707949,949
-1-7-11-13-73-77-91-143-169-511-803-949-1,001-1,183-1,859-5,621-6,643-10,439-12,337-13,013-73,073-86,359-135,707-949,949

More Examples

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