Q: What are the factor combinations of the number 155,421,325?

 A:
Positive:   1 x 1554213255 x 3108426525 x 6216853101 x 1538825505 x 3077652525 x 61553
Negative: -1 x -155421325-5 x -31084265-25 x -6216853-101 x -1538825-505 x -307765-2525 x -61553


How do I find the factor combinations of the number 155,421,325?

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 155,421,325, 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.

1 155,421,325
-1 -155,421,325

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 155,421,325.

Example:
1 x 155,421,325 = 155,421,325
and
-1 x -155,421,325 = 155,421,325
Notice both answers equal 155,421,325

With that explanation out of the way, let's continue. Next, we take the number 155,421,325 and divide it by 2:

155,421,325 ÷ 2 = 77,710,662.5

If the quotient is a whole number, then 2 and 77,710,662.5 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:

1 155,421,325
-1 -155,421,325

Now, we try dividing 155,421,325 by 3:

155,421,325 ÷ 3 = 51,807,108.3333

If the quotient is a whole number, then 3 and 51,807,108.3333 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:

1 155,421,325
-1 -155,421,325

Let's try dividing by 4:

155,421,325 ÷ 4 = 38,855,331.25

If the quotient is a whole number, then 4 and 38,855,331.25 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:

1 155,421,325
-1 155,421,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15251015052,52561,553307,7651,538,8256,216,85331,084,265155,421,325
-1-5-25-101-505-2,525-61,553-307,765-1,538,825-6,216,853-31,084,265-155,421,325

More Examples

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