Q: What are the factor combinations of the number 145,105,435?

 A:
Positive:   1 x 1451054355 x 2902108743 x 3374545215 x 674909331 x 4383851655 x 876772039 x 7116510195 x 14233
Negative: -1 x -145105435-5 x -29021087-43 x -3374545-215 x -674909-331 x -438385-1655 x -87677-2039 x -71165-10195 x -14233


How do I find the factor combinations of the number 145,105,435?

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 145,105,435, 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.

1 145,105,435
-1 -145,105,435

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 145,105,435.

Example:
1 x 145,105,435 = 145,105,435
and
-1 x -145,105,435 = 145,105,435
Notice both answers equal 145,105,435

With that explanation out of the way, let's continue. Next, we take the number 145,105,435 and divide it by 2:

145,105,435 ÷ 2 = 72,552,717.5

If the quotient is a whole number, then 2 and 72,552,717.5 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:

1 145,105,435
-1 -145,105,435

Now, we try dividing 145,105,435 by 3:

145,105,435 ÷ 3 = 48,368,478.3333

If the quotient is a whole number, then 3 and 48,368,478.3333 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:

1 145,105,435
-1 -145,105,435

Let's try dividing by 4:

145,105,435 ÷ 4 = 36,276,358.75

If the quotient is a whole number, then 4 and 36,276,358.75 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:

1 145,105,435
-1 145,105,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15432153311,6552,03910,19514,23371,16587,677438,385674,9093,374,54529,021,087145,105,435
-1-5-43-215-331-1,655-2,039-10,195-14,233-71,165-87,677-438,385-674,909-3,374,545-29,021,087-145,105,435

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