Q: What are the factor combinations of the number 313,520,195?

 A:
Positive:   1 x 3135201955 x 62704039113 x 2774515523 x 599465565 x 5549031061 x 2954952615 x 1198935305 x 59099
Negative: -1 x -313520195-5 x -62704039-113 x -2774515-523 x -599465-565 x -554903-1061 x -295495-2615 x -119893-5305 x -59099


How do I find the factor combinations of the number 313,520,195?

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 313,520,195, 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.

1 313,520,195
-1 -313,520,195

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 313,520,195.

Example:
1 x 313,520,195 = 313,520,195
and
-1 x -313,520,195 = 313,520,195
Notice both answers equal 313,520,195

With that explanation out of the way, let's continue. Next, we take the number 313,520,195 and divide it by 2:

313,520,195 ÷ 2 = 156,760,097.5

If the quotient is a whole number, then 2 and 156,760,097.5 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:

1 313,520,195
-1 -313,520,195

Now, we try dividing 313,520,195 by 3:

313,520,195 ÷ 3 = 104,506,731.6667

If the quotient is a whole number, then 3 and 104,506,731.6667 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:

1 313,520,195
-1 -313,520,195

Let's try dividing by 4:

313,520,195 ÷ 4 = 78,380,048.75

If the quotient is a whole number, then 4 and 78,380,048.75 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:

1 313,520,195
-1 313,520,195
Keep dividing by the next highest number until you cannot divide anymore.

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

151135235651,0612,6155,30559,099119,893295,495554,903599,4652,774,51562,704,039313,520,195
-1-5-113-523-565-1,061-2,615-5,305-59,099-119,893-295,495-554,903-599,465-2,774,515-62,704,039-313,520,195

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