Q: What are the factor combinations of the number 155,161,501?

 A:
Positive:   1 x 15516150111 x 1410559143 x 3608407473 x 328037
Negative: -1 x -155161501-11 x -14105591-43 x -3608407-473 x -328037


How do I find the factor combinations of the number 155,161,501?

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 155,161,501, 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.

1 155,161,501
-1 -155,161,501

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 155,161,501.

Example:
1 x 155,161,501 = 155,161,501
and
-1 x -155,161,501 = 155,161,501
Notice both answers equal 155,161,501

With that explanation out of the way, let's continue. Next, we take the number 155,161,501 and divide it by 2:

155,161,501 ÷ 2 = 77,580,750.5

If the quotient is a whole number, then 2 and 77,580,750.5 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:

1 155,161,501
-1 -155,161,501

Now, we try dividing 155,161,501 by 3:

155,161,501 ÷ 3 = 51,720,500.3333

If the quotient is a whole number, then 3 and 51,720,500.3333 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:

1 155,161,501
-1 -155,161,501

Let's try dividing by 4:

155,161,501 ÷ 4 = 38,790,375.25

If the quotient is a whole number, then 4 and 38,790,375.25 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:

1 155,161,501
-1 155,161,501
Keep dividing by the next highest number until you cannot divide anymore.

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

11143473328,0373,608,40714,105,591155,161,501
-1-11-43-473-328,037-3,608,407-14,105,591-155,161,501

More Examples

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