Q: What are the factor combinations of the number 155,006,075?

 A:
Positive:   1 x 1550060755 x 310012157 x 2214372525 x 620024335 x 4428745175 x 885749199 x 778925995 x 1557851393 x 1112754451 x 348254975 x 311576965 x 22255
Negative: -1 x -155006075-5 x -31001215-7 x -22143725-25 x -6200243-35 x -4428745-175 x -885749-199 x -778925-995 x -155785-1393 x -111275-4451 x -34825-4975 x -31157-6965 x -22255


How do I find the factor combinations of the number 155,006,075?

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 155,006,075, 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.

1 155,006,075
-1 -155,006,075

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 155,006,075.

Example:
1 x 155,006,075 = 155,006,075
and
-1 x -155,006,075 = 155,006,075
Notice both answers equal 155,006,075

With that explanation out of the way, let's continue. Next, we take the number 155,006,075 and divide it by 2:

155,006,075 ÷ 2 = 77,503,037.5

If the quotient is a whole number, then 2 and 77,503,037.5 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:

1 155,006,075
-1 -155,006,075

Now, we try dividing 155,006,075 by 3:

155,006,075 ÷ 3 = 51,668,691.6667

If the quotient is a whole number, then 3 and 51,668,691.6667 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:

1 155,006,075
-1 -155,006,075

Let's try dividing by 4:

155,006,075 ÷ 4 = 38,751,518.75

If the quotient is a whole number, then 4 and 38,751,518.75 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:

1 155,006,075
-1 155,006,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351751999951,3934,4514,9756,96522,25531,15734,825111,275155,785778,925885,7494,428,7456,200,24322,143,72531,001,215155,006,075
-1-5-7-25-35-175-199-995-1,393-4,451-4,975-6,965-22,255-31,157-34,825-111,275-155,785-778,925-885,749-4,428,745-6,200,243-22,143,725-31,001,215-155,006,075

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