Q: What are the factor combinations of the number 246,013,229?

 A:
Positive:   1 x 2460132297 x 3514474711 x 2236483977 x 3194977137 x 1795717959 x 2565311507 x 16324710549 x 23321
Negative: -1 x -246013229-7 x -35144747-11 x -22364839-77 x -3194977-137 x -1795717-959 x -256531-1507 x -163247-10549 x -23321


How do I find the factor combinations of the number 246,013,229?

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 246,013,229, 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.

1 246,013,229
-1 -246,013,229

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 246,013,229.

Example:
1 x 246,013,229 = 246,013,229
and
-1 x -246,013,229 = 246,013,229
Notice both answers equal 246,013,229

With that explanation out of the way, let's continue. Next, we take the number 246,013,229 and divide it by 2:

246,013,229 ÷ 2 = 123,006,614.5

If the quotient is a whole number, then 2 and 123,006,614.5 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:

1 246,013,229
-1 -246,013,229

Now, we try dividing 246,013,229 by 3:

246,013,229 ÷ 3 = 82,004,409.6667

If the quotient is a whole number, then 3 and 82,004,409.6667 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:

1 246,013,229
-1 -246,013,229

Let's try dividing by 4:

246,013,229 ÷ 4 = 61,503,307.25

If the quotient is a whole number, then 4 and 61,503,307.25 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:

1 246,013,229
-1 246,013,229
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771379591,50710,54923,321163,247256,5311,795,7173,194,97722,364,83935,144,747246,013,229
-1-7-11-77-137-959-1,507-10,549-23,321-163,247-256,531-1,795,717-3,194,977-22,364,839-35,144,747-246,013,229

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