Q: What are the factor combinations of the number 5,125,315?

 A:
Positive:   1 x 51253155 x 102506313 x 39425529 x 17673565 x 78851145 x 35347377 x 135951885 x 2719
Negative: -1 x -5125315-5 x -1025063-13 x -394255-29 x -176735-65 x -78851-145 x -35347-377 x -13595-1885 x -2719


How do I find the factor combinations of the number 5,125,315?

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 5,125,315, 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 5,125,315
-1 -5,125,315

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 5,125,315.

Example:
1 x 5,125,315 = 5,125,315
and
-1 x -5,125,315 = 5,125,315
Notice both answers equal 5,125,315

With that explanation out of the way, let's continue. Next, we take the number 5,125,315 and divide it by 2:

5,125,315 ÷ 2 = 2,562,657.5

If the quotient is a whole number, then 2 and 2,562,657.5 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 5,125,315
-1 -5,125,315

Now, we try dividing 5,125,315 by 3:

5,125,315 ÷ 3 = 1,708,438.3333

If the quotient is a whole number, then 3 and 1,708,438.3333 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 5,125,315
-1 -5,125,315

Let's try dividing by 4:

5,125,315 ÷ 4 = 1,281,328.75

If the quotient is a whole number, then 4 and 1,281,328.75 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 5,125,315
-1 5,125,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151329651453771,8852,71913,59535,34778,851176,735394,2551,025,0635,125,315
-1-5-13-29-65-145-377-1,885-2,719-13,595-35,347-78,851-176,735-394,255-1,025,063-5,125,315

More Examples

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