Q: What are the factor combinations of the number 374,440,115?

 A:
Positive:   1 x 3744401155 x 748880237 x 5349144523 x 1628000535 x 1069828949 x 7641635115 x 3256001161 x 2325715245 x 1528327805 x 4651431127 x 3322455635 x 66449
Negative: -1 x -374440115-5 x -74888023-7 x -53491445-23 x -16280005-35 x -10698289-49 x -7641635-115 x -3256001-161 x -2325715-245 x -1528327-805 x -465143-1127 x -332245-5635 x -66449


How do I find the factor combinations of the number 374,440,115?

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 374,440,115, 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.

1 374,440,115
-1 -374,440,115

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 374,440,115.

Example:
1 x 374,440,115 = 374,440,115
and
-1 x -374,440,115 = 374,440,115
Notice both answers equal 374,440,115

With that explanation out of the way, let's continue. Next, we take the number 374,440,115 and divide it by 2:

374,440,115 ÷ 2 = 187,220,057.5

If the quotient is a whole number, then 2 and 187,220,057.5 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:

1 374,440,115
-1 -374,440,115

Now, we try dividing 374,440,115 by 3:

374,440,115 ÷ 3 = 124,813,371.6667

If the quotient is a whole number, then 3 and 124,813,371.6667 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:

1 374,440,115
-1 -374,440,115

Let's try dividing by 4:

374,440,115 ÷ 4 = 93,610,028.75

If the quotient is a whole number, then 4 and 93,610,028.75 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:

1 374,440,115
-1 374,440,115
Keep dividing by the next highest number until you cannot divide anymore.

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

1572335491151612458051,1275,63566,449332,245465,1431,528,3272,325,7153,256,0017,641,63510,698,28916,280,00553,491,44574,888,023374,440,115
-1-5-7-23-35-49-115-161-245-805-1,127-5,635-66,449-332,245-465,143-1,528,327-2,325,715-3,256,001-7,641,635-10,698,289-16,280,005-53,491,445-74,888,023-374,440,115

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