Q: What are the factor combinations of the number 1,070,201?

 A:
Positive:   1 x 107020111 x 9729117 x 6295359 x 1813997 x 11033187 x 5723649 x 16491003 x 1067
Negative: -1 x -1070201-11 x -97291-17 x -62953-59 x -18139-97 x -11033-187 x -5723-649 x -1649-1003 x -1067


How do I find the factor combinations of the number 1,070,201?

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 1,070,201, 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 1,070,201
-1 -1,070,201

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 1,070,201.

Example:
1 x 1,070,201 = 1,070,201
and
-1 x -1,070,201 = 1,070,201
Notice both answers equal 1,070,201

With that explanation out of the way, let's continue. Next, we take the number 1,070,201 and divide it by 2:

1,070,201 ÷ 2 = 535,100.5

If the quotient is a whole number, then 2 and 535,100.5 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 1,070,201
-1 -1,070,201

Now, we try dividing 1,070,201 by 3:

1,070,201 ÷ 3 = 356,733.6667

If the quotient is a whole number, then 3 and 356,733.6667 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 1,070,201
-1 -1,070,201

Let's try dividing by 4:

1,070,201 ÷ 4 = 267,550.25

If the quotient is a whole number, then 4 and 267,550.25 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 1,070,201
-1 1,070,201
Keep dividing by the next highest number until you cannot divide anymore.

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

1111759971876491,0031,0671,6495,72311,03318,13962,95397,2911,070,201
-1-11-17-59-97-187-649-1,003-1,067-1,649-5,723-11,033-18,139-62,953-97,291-1,070,201

More Examples

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