Q: What are the factor combinations of the number 32,013,421?

 A:
Positive:   1 x 3201342111 x 291031131 x 1032691269 x 119009341 x 93881349 x 917292959 x 108193839 x 8339
Negative: -1 x -32013421-11 x -2910311-31 x -1032691-269 x -119009-341 x -93881-349 x -91729-2959 x -10819-3839 x -8339


How do I find the factor combinations of the number 32,013,421?

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 32,013,421, 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 32,013,421
-1 -32,013,421

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 32,013,421.

Example:
1 x 32,013,421 = 32,013,421
and
-1 x -32,013,421 = 32,013,421
Notice both answers equal 32,013,421

With that explanation out of the way, let's continue. Next, we take the number 32,013,421 and divide it by 2:

32,013,421 ÷ 2 = 16,006,710.5

If the quotient is a whole number, then 2 and 16,006,710.5 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 32,013,421
-1 -32,013,421

Now, we try dividing 32,013,421 by 3:

32,013,421 ÷ 3 = 10,671,140.3333

If the quotient is a whole number, then 3 and 10,671,140.3333 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 32,013,421
-1 -32,013,421

Let's try dividing by 4:

32,013,421 ÷ 4 = 8,003,355.25

If the quotient is a whole number, then 4 and 8,003,355.25 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 32,013,421
-1 32,013,421
Keep dividing by the next highest number until you cannot divide anymore.

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

111312693413492,9593,8398,33910,81991,72993,881119,0091,032,6912,910,31132,013,421
-1-11-31-269-341-349-2,959-3,839-8,339-10,819-91,729-93,881-119,009-1,032,691-2,910,311-32,013,421

More Examples

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