Q: What are the factor combinations of the number 100,804,237?

 A:
Positive:   1 x 10080423717 x 592966147 x 214477179 x 1276003799 x 1261631343 x 750591597 x 631213713 x 27149
Negative: -1 x -100804237-17 x -5929661-47 x -2144771-79 x -1276003-799 x -126163-1343 x -75059-1597 x -63121-3713 x -27149


How do I find the factor combinations of the number 100,804,237?

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 100,804,237, 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.

1 100,804,237
-1 -100,804,237

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 100,804,237.

Example:
1 x 100,804,237 = 100,804,237
and
-1 x -100,804,237 = 100,804,237
Notice both answers equal 100,804,237

With that explanation out of the way, let's continue. Next, we take the number 100,804,237 and divide it by 2:

100,804,237 ÷ 2 = 50,402,118.5

If the quotient is a whole number, then 2 and 50,402,118.5 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:

1 100,804,237
-1 -100,804,237

Now, we try dividing 100,804,237 by 3:

100,804,237 ÷ 3 = 33,601,412.3333

If the quotient is a whole number, then 3 and 33,601,412.3333 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:

1 100,804,237
-1 -100,804,237

Let's try dividing by 4:

100,804,237 ÷ 4 = 25,201,059.25

If the quotient is a whole number, then 4 and 25,201,059.25 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:

1 100,804,237
-1 100,804,237
Keep dividing by the next highest number until you cannot divide anymore.

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

11747797991,3431,5973,71327,14963,12175,059126,1631,276,0032,144,7715,929,661100,804,237
-1-17-47-79-799-1,343-1,597-3,713-27,149-63,121-75,059-126,163-1,276,003-2,144,771-5,929,661-100,804,237

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