Q: What are the factor combinations of the number 371,702,425?

 A:
Positive:   1 x 3717024255 x 7434048523 x 1616097525 x 1486809729 x 12817325115 x 3232195145 x 2563465575 x 646439667 x 557275725 x 5126933335 x 11145516675 x 22291
Negative: -1 x -371702425-5 x -74340485-23 x -16160975-25 x -14868097-29 x -12817325-115 x -3232195-145 x -2563465-575 x -646439-667 x -557275-725 x -512693-3335 x -111455-16675 x -22291


How do I find the factor combinations of the number 371,702,425?

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 371,702,425, 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.

1 371,702,425
-1 -371,702,425

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 371,702,425.

Example:
1 x 371,702,425 = 371,702,425
and
-1 x -371,702,425 = 371,702,425
Notice both answers equal 371,702,425

With that explanation out of the way, let's continue. Next, we take the number 371,702,425 and divide it by 2:

371,702,425 ÷ 2 = 185,851,212.5

If the quotient is a whole number, then 2 and 185,851,212.5 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:

1 371,702,425
-1 -371,702,425

Now, we try dividing 371,702,425 by 3:

371,702,425 ÷ 3 = 123,900,808.3333

If the quotient is a whole number, then 3 and 123,900,808.3333 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:

1 371,702,425
-1 -371,702,425

Let's try dividing by 4:

371,702,425 ÷ 4 = 92,925,606.25

If the quotient is a whole number, then 4 and 92,925,606.25 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:

1 371,702,425
-1 371,702,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152325291151455756677253,33516,67522,291111,455512,693557,275646,4392,563,4653,232,19512,817,32514,868,09716,160,97574,340,485371,702,425
-1-5-23-25-29-115-145-575-667-725-3,335-16,675-22,291-111,455-512,693-557,275-646,439-2,563,465-3,232,195-12,817,325-14,868,097-16,160,975-74,340,485-371,702,425

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