Q: What are the factor combinations of the number 152,354,323?

 A:
Positive:   1 x 15235432311 x 1385039317 x 896201923 x 6624101187 x 814729253 x 602191391 x 3896534301 x 35423
Negative: -1 x -152354323-11 x -13850393-17 x -8962019-23 x -6624101-187 x -814729-253 x -602191-391 x -389653-4301 x -35423


How do I find the factor combinations of the number 152,354,323?

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 152,354,323, 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.

1 152,354,323
-1 -152,354,323

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 152,354,323.

Example:
1 x 152,354,323 = 152,354,323
and
-1 x -152,354,323 = 152,354,323
Notice both answers equal 152,354,323

With that explanation out of the way, let's continue. Next, we take the number 152,354,323 and divide it by 2:

152,354,323 ÷ 2 = 76,177,161.5

If the quotient is a whole number, then 2 and 76,177,161.5 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:

1 152,354,323
-1 -152,354,323

Now, we try dividing 152,354,323 by 3:

152,354,323 ÷ 3 = 50,784,774.3333

If the quotient is a whole number, then 3 and 50,784,774.3333 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:

1 152,354,323
-1 -152,354,323

Let's try dividing by 4:

152,354,323 ÷ 4 = 38,088,580.75

If the quotient is a whole number, then 4 and 38,088,580.75 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:

1 152,354,323
-1 152,354,323
Keep dividing by the next highest number until you cannot divide anymore.

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

11117231872533914,30135,423389,653602,191814,7296,624,1018,962,01913,850,393152,354,323
-1-11-17-23-187-253-391-4,301-35,423-389,653-602,191-814,729-6,624,101-8,962,019-13,850,393-152,354,323

More Examples

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