Q: What are the factor combinations of the number 31,587,595?

 A:
Positive:   1 x 315875955 x 631751913 x 242981519 x 166250565 x 48596395 x 332501247 x 1278851235 x 25577
Negative: -1 x -31587595-5 x -6317519-13 x -2429815-19 x -1662505-65 x -485963-95 x -332501-247 x -127885-1235 x -25577


How do I find the factor combinations of the number 31,587,595?

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 31,587,595, 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 31,587,595
-1 -31,587,595

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 31,587,595.

Example:
1 x 31,587,595 = 31,587,595
and
-1 x -31,587,595 = 31,587,595
Notice both answers equal 31,587,595

With that explanation out of the way, let's continue. Next, we take the number 31,587,595 and divide it by 2:

31,587,595 ÷ 2 = 15,793,797.5

If the quotient is a whole number, then 2 and 15,793,797.5 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 31,587,595
-1 -31,587,595

Now, we try dividing 31,587,595 by 3:

31,587,595 ÷ 3 = 10,529,198.3333

If the quotient is a whole number, then 3 and 10,529,198.3333 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 31,587,595
-1 -31,587,595

Let's try dividing by 4:

31,587,595 ÷ 4 = 7,896,898.75

If the quotient is a whole number, then 4 and 7,896,898.75 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 31,587,595
-1 31,587,595
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952471,23525,577127,885332,501485,9631,662,5052,429,8156,317,51931,587,595
-1-5-13-19-65-95-247-1,235-25,577-127,885-332,501-485,963-1,662,505-2,429,815-6,317,519-31,587,595

More Examples

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