Q: What are the factor combinations of the number 372,357,349?

 A:
Positive:   1 x 3723573497 x 5319390713 x 2864287391 x 4091839991 x 3757394129 x 901816937 x 5367712883 x 28903
Negative: -1 x -372357349-7 x -53193907-13 x -28642873-91 x -4091839-991 x -375739-4129 x -90181-6937 x -53677-12883 x -28903


How do I find the factor combinations of the number 372,357,349?

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 372,357,349, 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.

1 372,357,349
-1 -372,357,349

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 372,357,349.

Example:
1 x 372,357,349 = 372,357,349
and
-1 x -372,357,349 = 372,357,349
Notice both answers equal 372,357,349

With that explanation out of the way, let's continue. Next, we take the number 372,357,349 and divide it by 2:

372,357,349 ÷ 2 = 186,178,674.5

If the quotient is a whole number, then 2 and 186,178,674.5 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:

1 372,357,349
-1 -372,357,349

Now, we try dividing 372,357,349 by 3:

372,357,349 ÷ 3 = 124,119,116.3333

If the quotient is a whole number, then 3 and 124,119,116.3333 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:

1 372,357,349
-1 -372,357,349

Let's try dividing by 4:

372,357,349 ÷ 4 = 93,089,337.25

If the quotient is a whole number, then 4 and 93,089,337.25 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:

1 372,357,349
-1 372,357,349
Keep dividing by the next highest number until you cannot divide anymore.

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

1713919914,1296,93712,88328,90353,67790,181375,7394,091,83928,642,87353,193,907372,357,349
-1-7-13-91-991-4,129-6,937-12,883-28,903-53,677-90,181-375,739-4,091,839-28,642,873-53,193,907-372,357,349

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