Q: What are the factor combinations of the number 377,342,707?

 A:
Positive:   1 x 3773427077 x 5390610197 x 3890131383 x 985229679 x 5557331451 x 2600572681 x 14074710157 x 37151
Negative: -1 x -377342707-7 x -53906101-97 x -3890131-383 x -985229-679 x -555733-1451 x -260057-2681 x -140747-10157 x -37151


How do I find the factor combinations of the number 377,342,707?

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 377,342,707, 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.

1 377,342,707
-1 -377,342,707

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 377,342,707.

Example:
1 x 377,342,707 = 377,342,707
and
-1 x -377,342,707 = 377,342,707
Notice both answers equal 377,342,707

With that explanation out of the way, let's continue. Next, we take the number 377,342,707 and divide it by 2:

377,342,707 ÷ 2 = 188,671,353.5

If the quotient is a whole number, then 2 and 188,671,353.5 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:

1 377,342,707
-1 -377,342,707

Now, we try dividing 377,342,707 by 3:

377,342,707 ÷ 3 = 125,780,902.3333

If the quotient is a whole number, then 3 and 125,780,902.3333 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:

1 377,342,707
-1 -377,342,707

Let's try dividing by 4:

377,342,707 ÷ 4 = 94,335,676.75

If the quotient is a whole number, then 4 and 94,335,676.75 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:

1 377,342,707
-1 377,342,707
Keep dividing by the next highest number until you cannot divide anymore.

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

17973836791,4512,68110,15737,151140,747260,057555,733985,2293,890,13153,906,101377,342,707
-1-7-97-383-679-1,451-2,681-10,157-37,151-140,747-260,057-555,733-985,229-3,890,131-53,906,101-377,342,707

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