Q: What are the factor combinations of the number 1,070,555?

 A:
Positive:   1 x 10705555 x 21411119 x 5634559 x 1814595 x 11269191 x 5605295 x 3629955 x 1121
Negative: -1 x -1070555-5 x -214111-19 x -56345-59 x -18145-95 x -11269-191 x -5605-295 x -3629-955 x -1121


How do I find the factor combinations of the number 1,070,555?

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 1,070,555, 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 1,070,555
-1 -1,070,555

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 1,070,555.

Example:
1 x 1,070,555 = 1,070,555
and
-1 x -1,070,555 = 1,070,555
Notice both answers equal 1,070,555

With that explanation out of the way, let's continue. Next, we take the number 1,070,555 and divide it by 2:

1,070,555 ÷ 2 = 535,277.5

If the quotient is a whole number, then 2 and 535,277.5 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 1,070,555
-1 -1,070,555

Now, we try dividing 1,070,555 by 3:

1,070,555 ÷ 3 = 356,851.6667

If the quotient is a whole number, then 3 and 356,851.6667 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 1,070,555
-1 -1,070,555

Let's try dividing by 4:

1,070,555 ÷ 4 = 267,638.75

If the quotient is a whole number, then 4 and 267,638.75 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 1,070,555
-1 1,070,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151959951912959551,1213,6295,60511,26918,14556,345214,1111,070,555
-1-5-19-59-95-191-295-955-1,121-3,629-5,605-11,269-18,145-56,345-214,111-1,070,555

More Examples

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