Q: What are the factor combinations of the number 313,415,377?

 A:
Positive:   1 x 31341537711 x 2849230761 x 5137957197 x 1590941671 x 4670872167 x 1446312371 x 13218712017 x 26081
Negative: -1 x -313415377-11 x -28492307-61 x -5137957-197 x -1590941-671 x -467087-2167 x -144631-2371 x -132187-12017 x -26081


How do I find the factor combinations of the number 313,415,377?

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 313,415,377, 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.

1 313,415,377
-1 -313,415,377

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 313,415,377.

Example:
1 x 313,415,377 = 313,415,377
and
-1 x -313,415,377 = 313,415,377
Notice both answers equal 313,415,377

With that explanation out of the way, let's continue. Next, we take the number 313,415,377 and divide it by 2:

313,415,377 ÷ 2 = 156,707,688.5

If the quotient is a whole number, then 2 and 156,707,688.5 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:

1 313,415,377
-1 -313,415,377

Now, we try dividing 313,415,377 by 3:

313,415,377 ÷ 3 = 104,471,792.3333

If the quotient is a whole number, then 3 and 104,471,792.3333 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:

1 313,415,377
-1 -313,415,377

Let's try dividing by 4:

313,415,377 ÷ 4 = 78,353,844.25

If the quotient is a whole number, then 4 and 78,353,844.25 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:

1 313,415,377
-1 313,415,377
Keep dividing by the next highest number until you cannot divide anymore.

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

111611976712,1672,37112,01726,081132,187144,631467,0871,590,9415,137,95728,492,307313,415,377
-1-11-61-197-671-2,167-2,371-12,017-26,081-132,187-144,631-467,087-1,590,941-5,137,957-28,492,307-313,415,377

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