Q: What are the factor combinations of the number 1,252,097?

 A:
Positive:   1 x 12520977 x 17887111 x 11382723 x 5443949 x 2555377 x 16261101 x 12397161 x 7777253 x 4949539 x 2323707 x 17711111 x 1127
Negative: -1 x -1252097-7 x -178871-11 x -113827-23 x -54439-49 x -25553-77 x -16261-101 x -12397-161 x -7777-253 x -4949-539 x -2323-707 x -1771-1111 x -1127


How do I find the factor combinations of the number 1,252,097?

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 1,252,097, 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 1,252,097
-1 -1,252,097

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 1,252,097.

Example:
1 x 1,252,097 = 1,252,097
and
-1 x -1,252,097 = 1,252,097
Notice both answers equal 1,252,097

With that explanation out of the way, let's continue. Next, we take the number 1,252,097 and divide it by 2:

1,252,097 ÷ 2 = 626,048.5

If the quotient is a whole number, then 2 and 626,048.5 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 1,252,097
-1 -1,252,097

Now, we try dividing 1,252,097 by 3:

1,252,097 ÷ 3 = 417,365.6667

If the quotient is a whole number, then 3 and 417,365.6667 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 1,252,097
-1 -1,252,097

Let's try dividing by 4:

1,252,097 ÷ 4 = 313,024.25

If the quotient is a whole number, then 4 and 313,024.25 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 1,252,097
-1 1,252,097
Keep dividing by the next highest number until you cannot divide anymore.

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

17112349771011612535397071,1111,1271,7712,3234,9497,77712,39716,26125,55354,439113,827178,8711,252,097
-1-7-11-23-49-77-101-161-253-539-707-1,111-1,127-1,771-2,323-4,949-7,777-12,397-16,261-25,553-54,439-113,827-178,871-1,252,097

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