Q: What are the factor combinations of the number 373,675,115?

 A:
Positive:   1 x 3736751155 x 7473502311 x 3397046555 x 6794093
Negative: -1 x -373675115-5 x -74735023-11 x -33970465-55 x -6794093


How do I find the factor combinations of the number 373,675,115?

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 373,675,115, 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.

1 373,675,115
-1 -373,675,115

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 373,675,115.

Example:
1 x 373,675,115 = 373,675,115
and
-1 x -373,675,115 = 373,675,115
Notice both answers equal 373,675,115

With that explanation out of the way, let's continue. Next, we take the number 373,675,115 and divide it by 2:

373,675,115 ÷ 2 = 186,837,557.5

If the quotient is a whole number, then 2 and 186,837,557.5 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:

1 373,675,115
-1 -373,675,115

Now, we try dividing 373,675,115 by 3:

373,675,115 ÷ 3 = 124,558,371.6667

If the quotient is a whole number, then 3 and 124,558,371.6667 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:

1 373,675,115
-1 -373,675,115

Let's try dividing by 4:

373,675,115 ÷ 4 = 93,418,778.75

If the quotient is a whole number, then 4 and 93,418,778.75 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:

1 373,675,115
-1 373,675,115
Keep dividing by the next highest number until you cannot divide anymore.

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

1511556,794,09333,970,46574,735,023373,675,115
-1-5-11-55-6,794,093-33,970,465-74,735,023-373,675,115

More Examples

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