Q: What are the factor combinations of the number 7,315,315?

 A:
Positive:   1 x 73153155 x 14630637 x 104504535 x 20900947 x 155645235 x 31129329 x 222351645 x 4447
Negative: -1 x -7315315-5 x -1463063-7 x -1045045-35 x -209009-47 x -155645-235 x -31129-329 x -22235-1645 x -4447


How do I find the factor combinations of the number 7,315,315?

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 7,315,315, 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 7,315,315
-1 -7,315,315

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 7,315,315.

Example:
1 x 7,315,315 = 7,315,315
and
-1 x -7,315,315 = 7,315,315
Notice both answers equal 7,315,315

With that explanation out of the way, let's continue. Next, we take the number 7,315,315 and divide it by 2:

7,315,315 ÷ 2 = 3,657,657.5

If the quotient is a whole number, then 2 and 3,657,657.5 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 7,315,315
-1 -7,315,315

Now, we try dividing 7,315,315 by 3:

7,315,315 ÷ 3 = 2,438,438.3333

If the quotient is a whole number, then 3 and 2,438,438.3333 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 7,315,315
-1 -7,315,315

Let's try dividing by 4:

7,315,315 ÷ 4 = 1,828,828.75

If the quotient is a whole number, then 4 and 1,828,828.75 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 7,315,315
-1 7,315,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15735472353291,6454,44722,23531,129155,645209,0091,045,0451,463,0637,315,315
-1-5-7-35-47-235-329-1,645-4,447-22,235-31,129-155,645-209,009-1,045,045-1,463,063-7,315,315

More Examples

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