Q: What are the factor combinations of the number 24,312,035?

 A:
Positive:   1 x 243120355 x 486240711 x 221018523 x 105704555 x 442037115 x 211409253 x 960951265 x 19219
Negative: -1 x -24312035-5 x -4862407-11 x -2210185-23 x -1057045-55 x -442037-115 x -211409-253 x -96095-1265 x -19219


How do I find the factor combinations of the number 24,312,035?

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 24,312,035, 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 24,312,035
-1 -24,312,035

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 24,312,035.

Example:
1 x 24,312,035 = 24,312,035
and
-1 x -24,312,035 = 24,312,035
Notice both answers equal 24,312,035

With that explanation out of the way, let's continue. Next, we take the number 24,312,035 and divide it by 2:

24,312,035 ÷ 2 = 12,156,017.5

If the quotient is a whole number, then 2 and 12,156,017.5 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 24,312,035
-1 -24,312,035

Now, we try dividing 24,312,035 by 3:

24,312,035 ÷ 3 = 8,104,011.6667

If the quotient is a whole number, then 3 and 8,104,011.6667 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 24,312,035
-1 -24,312,035

Let's try dividing by 4:

24,312,035 ÷ 4 = 6,078,008.75

If the quotient is a whole number, then 4 and 6,078,008.75 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 24,312,035
-1 24,312,035
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152531,26519,21996,095211,409442,0371,057,0452,210,1854,862,40724,312,035
-1-5-11-23-55-115-253-1,265-19,219-96,095-211,409-442,037-1,057,045-2,210,185-4,862,407-24,312,035

More Examples

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