Q: What are the factor combinations of the number 163,343,411?

 A:
Positive:   1 x 1633434117 x 2333477311 x 1484940149 x 333353977 x 2121343539 x 303049
Negative: -1 x -163343411-7 x -23334773-11 x -14849401-49 x -3333539-77 x -2121343-539 x -303049


How do I find the factor combinations of the number 163,343,411?

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 163,343,411, 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.

1 163,343,411
-1 -163,343,411

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 163,343,411.

Example:
1 x 163,343,411 = 163,343,411
and
-1 x -163,343,411 = 163,343,411
Notice both answers equal 163,343,411

With that explanation out of the way, let's continue. Next, we take the number 163,343,411 and divide it by 2:

163,343,411 ÷ 2 = 81,671,705.5

If the quotient is a whole number, then 2 and 81,671,705.5 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:

1 163,343,411
-1 -163,343,411

Now, we try dividing 163,343,411 by 3:

163,343,411 ÷ 3 = 54,447,803.6667

If the quotient is a whole number, then 3 and 54,447,803.6667 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:

1 163,343,411
-1 -163,343,411

Let's try dividing by 4:

163,343,411 ÷ 4 = 40,835,852.75

If the quotient is a whole number, then 4 and 40,835,852.75 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:

1 163,343,411
-1 163,343,411
Keep dividing by the next highest number until you cannot divide anymore.

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

17114977539303,0492,121,3433,333,53914,849,40123,334,773163,343,411
-1-7-11-49-77-539-303,049-2,121,343-3,333,539-14,849,401-23,334,773-163,343,411

More Examples

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