Q: What are the factor combinations of the number 368,727,107?

 A:
Positive:   1 x 3687271077 x 5267530143 x 857504949 x 7525043139 x 2652713301 x 1225007973 x 3789591259 x 2928732107 x 1750015977 x 616916811 x 541378813 x 41839
Negative: -1 x -368727107-7 x -52675301-43 x -8575049-49 x -7525043-139 x -2652713-301 x -1225007-973 x -378959-1259 x -292873-2107 x -175001-5977 x -61691-6811 x -54137-8813 x -41839


How do I find the factor combinations of the number 368,727,107?

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 368,727,107, 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.

1 368,727,107
-1 -368,727,107

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 368,727,107.

Example:
1 x 368,727,107 = 368,727,107
and
-1 x -368,727,107 = 368,727,107
Notice both answers equal 368,727,107

With that explanation out of the way, let's continue. Next, we take the number 368,727,107 and divide it by 2:

368,727,107 ÷ 2 = 184,363,553.5

If the quotient is a whole number, then 2 and 184,363,553.5 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:

1 368,727,107
-1 -368,727,107

Now, we try dividing 368,727,107 by 3:

368,727,107 ÷ 3 = 122,909,035.6667

If the quotient is a whole number, then 3 and 122,909,035.6667 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:

1 368,727,107
-1 -368,727,107

Let's try dividing by 4:

368,727,107 ÷ 4 = 92,181,776.75

If the quotient is a whole number, then 4 and 92,181,776.75 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:

1 368,727,107
-1 368,727,107
Keep dividing by the next highest number until you cannot divide anymore.

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

1743491393019731,2592,1075,9776,8118,81341,83954,13761,691175,001292,873378,9591,225,0072,652,7137,525,0438,575,04952,675,301368,727,107
-1-7-43-49-139-301-973-1,259-2,107-5,977-6,811-8,813-41,839-54,137-61,691-175,001-292,873-378,959-1,225,007-2,652,713-7,525,043-8,575,049-52,675,301-368,727,107

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