Q: What are the factor combinations of the number 1,015,703?

 A:
Positive:   1 x 101570313 x 7813123 x 4416143 x 2362179 x 12857299 x 3397559 x 1817989 x 1027
Negative: -1 x -1015703-13 x -78131-23 x -44161-43 x -23621-79 x -12857-299 x -3397-559 x -1817-989 x -1027


How do I find the factor combinations of the number 1,015,703?

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 1,015,703, 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 1,015,703
-1 -1,015,703

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 1,015,703.

Example:
1 x 1,015,703 = 1,015,703
and
-1 x -1,015,703 = 1,015,703
Notice both answers equal 1,015,703

With that explanation out of the way, let's continue. Next, we take the number 1,015,703 and divide it by 2:

1,015,703 ÷ 2 = 507,851.5

If the quotient is a whole number, then 2 and 507,851.5 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 1,015,703
-1 -1,015,703

Now, we try dividing 1,015,703 by 3:

1,015,703 ÷ 3 = 338,567.6667

If the quotient is a whole number, then 3 and 338,567.6667 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 1,015,703
-1 -1,015,703

Let's try dividing by 4:

1,015,703 ÷ 4 = 253,925.75

If the quotient is a whole number, then 4 and 253,925.75 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 1,015,703
-1 1,015,703
Keep dividing by the next highest number until you cannot divide anymore.

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

1132343792995599891,0271,8173,39712,85723,62144,16178,1311,015,703
-1-13-23-43-79-299-559-989-1,027-1,817-3,397-12,857-23,621-44,161-78,131-1,015,703

More Examples

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