Q: What are the factor combinations of the number 155,417,417?

 A:
Positive:   1 x 15541741717 x 914220123 x 675727983 x 1872499391 x 3974871411 x 1101471909 x 814134789 x 32453
Negative: -1 x -155417417-17 x -9142201-23 x -6757279-83 x -1872499-391 x -397487-1411 x -110147-1909 x -81413-4789 x -32453


How do I find the factor combinations of the number 155,417,417?

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 155,417,417, 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.

1 155,417,417
-1 -155,417,417

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 155,417,417.

Example:
1 x 155,417,417 = 155,417,417
and
-1 x -155,417,417 = 155,417,417
Notice both answers equal 155,417,417

With that explanation out of the way, let's continue. Next, we take the number 155,417,417 and divide it by 2:

155,417,417 ÷ 2 = 77,708,708.5

If the quotient is a whole number, then 2 and 77,708,708.5 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:

1 155,417,417
-1 -155,417,417

Now, we try dividing 155,417,417 by 3:

155,417,417 ÷ 3 = 51,805,805.6667

If the quotient is a whole number, then 3 and 51,805,805.6667 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:

1 155,417,417
-1 -155,417,417

Let's try dividing by 4:

155,417,417 ÷ 4 = 38,854,354.25

If the quotient is a whole number, then 4 and 38,854,354.25 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:

1 155,417,417
-1 155,417,417
Keep dividing by the next highest number until you cannot divide anymore.

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

11723833911,4111,9094,78932,45381,413110,147397,4871,872,4996,757,2799,142,201155,417,417
-1-17-23-83-391-1,411-1,909-4,789-32,453-81,413-110,147-397,487-1,872,499-6,757,279-9,142,201-155,417,417

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