Q: What are the factor combinations of the number 156,641,225?

 A:
Positive:   1 x 1566412255 x 3132824513 x 1204932519 x 824427525 x 626564965 x 240986595 x 1648855247 x 634175325 x 481973475 x 3297711235 x 1268356175 x 25367
Negative: -1 x -156641225-5 x -31328245-13 x -12049325-19 x -8244275-25 x -6265649-65 x -2409865-95 x -1648855-247 x -634175-325 x -481973-475 x -329771-1235 x -126835-6175 x -25367


How do I find the factor combinations of the number 156,641,225?

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 156,641,225, 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.

1 156,641,225
-1 -156,641,225

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 156,641,225.

Example:
1 x 156,641,225 = 156,641,225
and
-1 x -156,641,225 = 156,641,225
Notice both answers equal 156,641,225

With that explanation out of the way, let's continue. Next, we take the number 156,641,225 and divide it by 2:

156,641,225 ÷ 2 = 78,320,612.5

If the quotient is a whole number, then 2 and 78,320,612.5 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:

1 156,641,225
-1 -156,641,225

Now, we try dividing 156,641,225 by 3:

156,641,225 ÷ 3 = 52,213,741.6667

If the quotient is a whole number, then 3 and 52,213,741.6667 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:

1 156,641,225
-1 -156,641,225

Let's try dividing by 4:

156,641,225 ÷ 4 = 39,160,306.25

If the quotient is a whole number, then 4 and 39,160,306.25 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:

1 156,641,225
-1 156,641,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1513192565952473254751,2356,17525,367126,835329,771481,973634,1751,648,8552,409,8656,265,6498,244,27512,049,32531,328,245156,641,225
-1-5-13-19-25-65-95-247-325-475-1,235-6,175-25,367-126,835-329,771-481,973-634,175-1,648,855-2,409,865-6,265,649-8,244,275-12,049,325-31,328,245-156,641,225

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