Q: What are the factor combinations of the number 155,415,535?

 A:
Positive:   1 x 1554155355 x 3108310711 x 1412868519 x 817976555 x 282573795 x 1635953209 x 7436151045 x 148723
Negative: -1 x -155415535-5 x -31083107-11 x -14128685-19 x -8179765-55 x -2825737-95 x -1635953-209 x -743615-1045 x -148723


How do I find the factor combinations of the number 155,415,535?

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 155,415,535, 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.

1 155,415,535
-1 -155,415,535

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 155,415,535.

Example:
1 x 155,415,535 = 155,415,535
and
-1 x -155,415,535 = 155,415,535
Notice both answers equal 155,415,535

With that explanation out of the way, let's continue. Next, we take the number 155,415,535 and divide it by 2:

155,415,535 ÷ 2 = 77,707,767.5

If the quotient is a whole number, then 2 and 77,707,767.5 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:

1 155,415,535
-1 -155,415,535

Now, we try dividing 155,415,535 by 3:

155,415,535 ÷ 3 = 51,805,178.3333

If the quotient is a whole number, then 3 and 51,805,178.3333 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:

1 155,415,535
-1 -155,415,535

Let's try dividing by 4:

155,415,535 ÷ 4 = 38,853,883.75

If the quotient is a whole number, then 4 and 38,853,883.75 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:

1 155,415,535
-1 155,415,535
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,045148,723743,6151,635,9532,825,7378,179,76514,128,68531,083,107155,415,535
-1-5-11-19-55-95-209-1,045-148,723-743,615-1,635,953-2,825,737-8,179,765-14,128,685-31,083,107-155,415,535

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