Q: What are the factor combinations of the number 153,655,355?

 A:
Positive:   1 x 1536553555 x 307310717 x 2195076535 x 43901531597 x 962152749 x 558957985 x 1924311179 x 13745
Negative: -1 x -153655355-5 x -30731071-7 x -21950765-35 x -4390153-1597 x -96215-2749 x -55895-7985 x -19243-11179 x -13745


How do I find the factor combinations of the number 153,655,355?

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 153,655,355, 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.

1 153,655,355
-1 -153,655,355

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 153,655,355.

Example:
1 x 153,655,355 = 153,655,355
and
-1 x -153,655,355 = 153,655,355
Notice both answers equal 153,655,355

With that explanation out of the way, let's continue. Next, we take the number 153,655,355 and divide it by 2:

153,655,355 ÷ 2 = 76,827,677.5

If the quotient is a whole number, then 2 and 76,827,677.5 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:

1 153,655,355
-1 -153,655,355

Now, we try dividing 153,655,355 by 3:

153,655,355 ÷ 3 = 51,218,451.6667

If the quotient is a whole number, then 3 and 51,218,451.6667 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:

1 153,655,355
-1 -153,655,355

Let's try dividing by 4:

153,655,355 ÷ 4 = 38,413,838.75

If the quotient is a whole number, then 4 and 38,413,838.75 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:

1 153,655,355
-1 153,655,355
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,5972,7497,98511,17913,74519,24355,89596,2154,390,15321,950,76530,731,071153,655,355
-1-5-7-35-1,597-2,749-7,985-11,179-13,745-19,243-55,895-96,215-4,390,153-21,950,765-30,731,071-153,655,355

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