Q: What are the factor combinations of the number 1,021,207?

 A:
Positive:   1 x 102120711 x 9283717 x 6007143 x 23749127 x 8041187 x 5461473 x 2159731 x 1397
Negative: -1 x -1021207-11 x -92837-17 x -60071-43 x -23749-127 x -8041-187 x -5461-473 x -2159-731 x -1397


How do I find the factor combinations of the number 1,021,207?

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 1,021,207, 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 1,021,207
-1 -1,021,207

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 1,021,207.

Example:
1 x 1,021,207 = 1,021,207
and
-1 x -1,021,207 = 1,021,207
Notice both answers equal 1,021,207

With that explanation out of the way, let's continue. Next, we take the number 1,021,207 and divide it by 2:

1,021,207 ÷ 2 = 510,603.5

If the quotient is a whole number, then 2 and 510,603.5 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 1,021,207
-1 -1,021,207

Now, we try dividing 1,021,207 by 3:

1,021,207 ÷ 3 = 340,402.3333

If the quotient is a whole number, then 3 and 340,402.3333 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 1,021,207
-1 -1,021,207

Let's try dividing by 4:

1,021,207 ÷ 4 = 255,301.75

If the quotient is a whole number, then 4 and 255,301.75 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 1,021,207
-1 1,021,207
Keep dividing by the next highest number until you cannot divide anymore.

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

11117431271874737311,3972,1595,4618,04123,74960,07192,8371,021,207
-1-11-17-43-127-187-473-731-1,397-2,159-5,461-8,041-23,749-60,071-92,837-1,021,207

More Examples

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