Q: What are the factor combinations of the number 1,432,981?

 A:
Positive:   1 x 143298111 x 13027117 x 8429379 x 1813997 x 14773187 x 7663869 x 16491067 x 1343
Negative: -1 x -1432981-11 x -130271-17 x -84293-79 x -18139-97 x -14773-187 x -7663-869 x -1649-1067 x -1343


How do I find the factor combinations of the number 1,432,981?

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 1,432,981, 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 1,432,981
-1 -1,432,981

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 1,432,981.

Example:
1 x 1,432,981 = 1,432,981
and
-1 x -1,432,981 = 1,432,981
Notice both answers equal 1,432,981

With that explanation out of the way, let's continue. Next, we take the number 1,432,981 and divide it by 2:

1,432,981 ÷ 2 = 716,490.5

If the quotient is a whole number, then 2 and 716,490.5 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 1,432,981
-1 -1,432,981

Now, we try dividing 1,432,981 by 3:

1,432,981 ÷ 3 = 477,660.3333

If the quotient is a whole number, then 3 and 477,660.3333 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 1,432,981
-1 -1,432,981

Let's try dividing by 4:

1,432,981 ÷ 4 = 358,245.25

If the quotient is a whole number, then 4 and 358,245.25 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 1,432,981
-1 1,432,981
Keep dividing by the next highest number until you cannot divide anymore.

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

1111779971878691,0671,3431,6497,66314,77318,13984,293130,2711,432,981
-1-11-17-79-97-187-869-1,067-1,343-1,649-7,663-14,773-18,139-84,293-130,271-1,432,981

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