Q: What are the factor combinations of the number 371,520,425?

 A:
Positive:   1 x 3715204255 x 7430408525 x 148608171039 x 3575755195 x 7151514303 x 25975
Negative: -1 x -371520425-5 x -74304085-25 x -14860817-1039 x -357575-5195 x -71515-14303 x -25975


How do I find the factor combinations of the number 371,520,425?

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 371,520,425, 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.

1 371,520,425
-1 -371,520,425

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 371,520,425.

Example:
1 x 371,520,425 = 371,520,425
and
-1 x -371,520,425 = 371,520,425
Notice both answers equal 371,520,425

With that explanation out of the way, let's continue. Next, we take the number 371,520,425 and divide it by 2:

371,520,425 ÷ 2 = 185,760,212.5

If the quotient is a whole number, then 2 and 185,760,212.5 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:

1 371,520,425
-1 -371,520,425

Now, we try dividing 371,520,425 by 3:

371,520,425 ÷ 3 = 123,840,141.6667

If the quotient is a whole number, then 3 and 123,840,141.6667 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:

1 371,520,425
-1 -371,520,425

Let's try dividing by 4:

371,520,425 ÷ 4 = 92,880,106.25

If the quotient is a whole number, then 4 and 92,880,106.25 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:

1 371,520,425
-1 371,520,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15251,0395,19514,30325,97571,515357,57514,860,81774,304,085371,520,425
-1-5-25-1,039-5,195-14,303-25,975-71,515-357,575-14,860,817-74,304,085-371,520,425

More Examples

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