Q: What are the factor combinations of the number 371,121,545?

 A:
Positive:   1 x 3711215455 x 7422430941 x 905174589 x 4169905205 x 1810349445 x 8339813649 x 10170518245 x 20341
Negative: -1 x -371121545-5 x -74224309-41 x -9051745-89 x -4169905-205 x -1810349-445 x -833981-3649 x -101705-18245 x -20341


How do I find the factor combinations of the number 371,121,545?

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 371,121,545, 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.

1 371,121,545
-1 -371,121,545

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 371,121,545.

Example:
1 x 371,121,545 = 371,121,545
and
-1 x -371,121,545 = 371,121,545
Notice both answers equal 371,121,545

With that explanation out of the way, let's continue. Next, we take the number 371,121,545 and divide it by 2:

371,121,545 ÷ 2 = 185,560,772.5

If the quotient is a whole number, then 2 and 185,560,772.5 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:

1 371,121,545
-1 -371,121,545

Now, we try dividing 371,121,545 by 3:

371,121,545 ÷ 3 = 123,707,181.6667

If the quotient is a whole number, then 3 and 123,707,181.6667 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:

1 371,121,545
-1 -371,121,545

Let's try dividing by 4:

371,121,545 ÷ 4 = 92,780,386.25

If the quotient is a whole number, then 4 and 92,780,386.25 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:

1 371,121,545
-1 371,121,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1541892054453,64918,24520,341101,705833,9811,810,3494,169,9059,051,74574,224,309371,121,545
-1-5-41-89-205-445-3,649-18,245-20,341-101,705-833,981-1,810,349-4,169,905-9,051,745-74,224,309-371,121,545

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