Q: What are the factor combinations of the number 467,495,945?

 A:
Positive:   1 x 4674959455 x 934991897 x 6678513535 x 133570271549 x 3018057745 x 603618623 x 5421510843 x 43115
Negative: -1 x -467495945-5 x -93499189-7 x -66785135-35 x -13357027-1549 x -301805-7745 x -60361-8623 x -54215-10843 x -43115


How do I find the factor combinations of the number 467,495,945?

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 467,495,945, 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.

1 467,495,945
-1 -467,495,945

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 467,495,945.

Example:
1 x 467,495,945 = 467,495,945
and
-1 x -467,495,945 = 467,495,945
Notice both answers equal 467,495,945

With that explanation out of the way, let's continue. Next, we take the number 467,495,945 and divide it by 2:

467,495,945 ÷ 2 = 233,747,972.5

If the quotient is a whole number, then 2 and 233,747,972.5 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:

1 467,495,945
-1 -467,495,945

Now, we try dividing 467,495,945 by 3:

467,495,945 ÷ 3 = 155,831,981.6667

If the quotient is a whole number, then 3 and 155,831,981.6667 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:

1 467,495,945
-1 -467,495,945

Let's try dividing by 4:

467,495,945 ÷ 4 = 116,873,986.25

If the quotient is a whole number, then 4 and 116,873,986.25 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:

1 467,495,945
-1 467,495,945
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,5497,7458,62310,84343,11554,21560,361301,80513,357,02766,785,13593,499,189467,495,945
-1-5-7-35-1,549-7,745-8,623-10,843-43,115-54,215-60,361-301,805-13,357,027-66,785,135-93,499,189-467,495,945

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