Q: What are the factor combinations of the number 21,432,439?

 A:
Positive:   1 x 214324397 x 306177731 x 691369217 x 98767283 x 75733349 x 614111981 x 108192443 x 8773
Negative: -1 x -21432439-7 x -3061777-31 x -691369-217 x -98767-283 x -75733-349 x -61411-1981 x -10819-2443 x -8773


How do I find the factor combinations of the number 21,432,439?

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 21,432,439, 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 21,432,439
-1 -21,432,439

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 21,432,439.

Example:
1 x 21,432,439 = 21,432,439
and
-1 x -21,432,439 = 21,432,439
Notice both answers equal 21,432,439

With that explanation out of the way, let's continue. Next, we take the number 21,432,439 and divide it by 2:

21,432,439 ÷ 2 = 10,716,219.5

If the quotient is a whole number, then 2 and 10,716,219.5 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 21,432,439
-1 -21,432,439

Now, we try dividing 21,432,439 by 3:

21,432,439 ÷ 3 = 7,144,146.3333

If the quotient is a whole number, then 3 and 7,144,146.3333 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 21,432,439
-1 -21,432,439

Let's try dividing by 4:

21,432,439 ÷ 4 = 5,358,109.75

If the quotient is a whole number, then 4 and 5,358,109.75 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 21,432,439
-1 21,432,439
Keep dividing by the next highest number until you cannot divide anymore.

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

17312172833491,9812,4438,77310,81961,41175,73398,767691,3693,061,77721,432,439
-1-7-31-217-283-349-1,981-2,443-8,773-10,819-61,411-75,733-98,767-691,369-3,061,777-21,432,439

More Examples

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