Q: What are the factor combinations of the number 238,128,263?

 A:
Positive:   1 x 23812826337 x 643589973 x 3262031131 x 1817773673 x 3538312701 x 881634847 x 491299563 x 24901
Negative: -1 x -238128263-37 x -6435899-73 x -3262031-131 x -1817773-673 x -353831-2701 x -88163-4847 x -49129-9563 x -24901


How do I find the factor combinations of the number 238,128,263?

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 238,128,263, 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.

1 238,128,263
-1 -238,128,263

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 238,128,263.

Example:
1 x 238,128,263 = 238,128,263
and
-1 x -238,128,263 = 238,128,263
Notice both answers equal 238,128,263

With that explanation out of the way, let's continue. Next, we take the number 238,128,263 and divide it by 2:

238,128,263 ÷ 2 = 119,064,131.5

If the quotient is a whole number, then 2 and 119,064,131.5 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:

1 238,128,263
-1 -238,128,263

Now, we try dividing 238,128,263 by 3:

238,128,263 ÷ 3 = 79,376,087.6667

If the quotient is a whole number, then 3 and 79,376,087.6667 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:

1 238,128,263
-1 -238,128,263

Let's try dividing by 4:

238,128,263 ÷ 4 = 59,532,065.75

If the quotient is a whole number, then 4 and 59,532,065.75 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:

1 238,128,263
-1 238,128,263
Keep dividing by the next highest number until you cannot divide anymore.

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

137731316732,7014,8479,56324,90149,12988,163353,8311,817,7733,262,0316,435,899238,128,263
-1-37-73-131-673-2,701-4,847-9,563-24,901-49,129-88,163-353,831-1,817,773-3,262,031-6,435,899-238,128,263

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