Q: What are the factor combinations of the number 1,445,969?

 A:
Positive:   1 x 14459697 x 20656717 x 8505729 x 49861119 x 12151203 x 7123419 x 3451493 x 2933
Negative: -1 x -1445969-7 x -206567-17 x -85057-29 x -49861-119 x -12151-203 x -7123-419 x -3451-493 x -2933


How do I find the factor combinations of the number 1,445,969?

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 1,445,969, 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 1,445,969
-1 -1,445,969

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 1,445,969.

Example:
1 x 1,445,969 = 1,445,969
and
-1 x -1,445,969 = 1,445,969
Notice both answers equal 1,445,969

With that explanation out of the way, let's continue. Next, we take the number 1,445,969 and divide it by 2:

1,445,969 ÷ 2 = 722,984.5

If the quotient is a whole number, then 2 and 722,984.5 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 1,445,969
-1 -1,445,969

Now, we try dividing 1,445,969 by 3:

1,445,969 ÷ 3 = 481,989.6667

If the quotient is a whole number, then 3 and 481,989.6667 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 1,445,969
-1 -1,445,969

Let's try dividing by 4:

1,445,969 ÷ 4 = 361,492.25

If the quotient is a whole number, then 4 and 361,492.25 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 1,445,969
-1 1,445,969
Keep dividing by the next highest number until you cannot divide anymore.

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

1717291192034194932,9333,4517,12312,15149,86185,057206,5671,445,969
-1-7-17-29-119-203-419-493-2,933-3,451-7,123-12,151-49,861-85,057-206,567-1,445,969

More Examples

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