Q: What are the factor combinations of the number 377,504,425?

 A:
Positive:   1 x 3775044255 x 7550088525 x 1510017741 x 920742553 x 7122725205 x 1841485265 x 14245451025 x 3682971325 x 2849092173 x 1737256949 x 5432510865 x 34745
Negative: -1 x -377504425-5 x -75500885-25 x -15100177-41 x -9207425-53 x -7122725-205 x -1841485-265 x -1424545-1025 x -368297-1325 x -284909-2173 x -173725-6949 x -54325-10865 x -34745


How do I find the factor combinations of the number 377,504,425?

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 377,504,425, 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.

1 377,504,425
-1 -377,504,425

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 377,504,425.

Example:
1 x 377,504,425 = 377,504,425
and
-1 x -377,504,425 = 377,504,425
Notice both answers equal 377,504,425

With that explanation out of the way, let's continue. Next, we take the number 377,504,425 and divide it by 2:

377,504,425 ÷ 2 = 188,752,212.5

If the quotient is a whole number, then 2 and 188,752,212.5 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:

1 377,504,425
-1 -377,504,425

Now, we try dividing 377,504,425 by 3:

377,504,425 ÷ 3 = 125,834,808.3333

If the quotient is a whole number, then 3 and 125,834,808.3333 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:

1 377,504,425
-1 -377,504,425

Let's try dividing by 4:

377,504,425 ÷ 4 = 94,376,106.25

If the quotient is a whole number, then 4 and 94,376,106.25 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:

1 377,504,425
-1 377,504,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152541532052651,0251,3252,1736,94910,86534,74554,325173,725284,909368,2971,424,5451,841,4857,122,7259,207,42515,100,17775,500,885377,504,425
-1-5-25-41-53-205-265-1,025-1,325-2,173-6,949-10,865-34,745-54,325-173,725-284,909-368,297-1,424,545-1,841,485-7,122,725-9,207,425-15,100,177-75,500,885-377,504,425

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