Q: What are the factor combinations of the number 314,315,045?

 A:
Positive:   1 x 3143150455 x 6286300911 x 2857409531 x 1013919555 x 5714819121 x 2597645155 x 2027839341 x 921745605 x 5195291705 x 1843493751 x 8379516759 x 18755
Negative: -1 x -314315045-5 x -62863009-11 x -28574095-31 x -10139195-55 x -5714819-121 x -2597645-155 x -2027839-341 x -921745-605 x -519529-1705 x -184349-3751 x -83795-16759 x -18755


How do I find the factor combinations of the number 314,315,045?

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 314,315,045, 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.

1 314,315,045
-1 -314,315,045

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 314,315,045.

Example:
1 x 314,315,045 = 314,315,045
and
-1 x -314,315,045 = 314,315,045
Notice both answers equal 314,315,045

With that explanation out of the way, let's continue. Next, we take the number 314,315,045 and divide it by 2:

314,315,045 ÷ 2 = 157,157,522.5

If the quotient is a whole number, then 2 and 157,157,522.5 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:

1 314,315,045
-1 -314,315,045

Now, we try dividing 314,315,045 by 3:

314,315,045 ÷ 3 = 104,771,681.6667

If the quotient is a whole number, then 3 and 104,771,681.6667 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:

1 314,315,045
-1 -314,315,045

Let's try dividing by 4:

314,315,045 ÷ 4 = 78,578,761.25

If the quotient is a whole number, then 4 and 78,578,761.25 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:

1 314,315,045
-1 314,315,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551211553416051,7053,75116,75918,75583,795184,349519,529921,7452,027,8392,597,6455,714,81910,139,19528,574,09562,863,009314,315,045
-1-5-11-31-55-121-155-341-605-1,705-3,751-16,759-18,755-83,795-184,349-519,529-921,745-2,027,839-2,597,645-5,714,819-10,139,195-28,574,095-62,863,009-314,315,045

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