Q: What are the factor combinations of the number 145,011,425?

 A:
Positive:   1 x 1450114255 x 2900228513 x 1115472525 x 580045765 x 2230945325 x 446189
Negative: -1 x -145011425-5 x -29002285-13 x -11154725-25 x -5800457-65 x -2230945-325 x -446189


How do I find the factor combinations of the number 145,011,425?

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 145,011,425, 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.

1 145,011,425
-1 -145,011,425

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 145,011,425.

Example:
1 x 145,011,425 = 145,011,425
and
-1 x -145,011,425 = 145,011,425
Notice both answers equal 145,011,425

With that explanation out of the way, let's continue. Next, we take the number 145,011,425 and divide it by 2:

145,011,425 ÷ 2 = 72,505,712.5

If the quotient is a whole number, then 2 and 72,505,712.5 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:

1 145,011,425
-1 -145,011,425

Now, we try dividing 145,011,425 by 3:

145,011,425 ÷ 3 = 48,337,141.6667

If the quotient is a whole number, then 3 and 48,337,141.6667 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:

1 145,011,425
-1 -145,011,425

Let's try dividing by 4:

145,011,425 ÷ 4 = 36,252,856.25

If the quotient is a whole number, then 4 and 36,252,856.25 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:

1 145,011,425
-1 145,011,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15132565325446,1892,230,9455,800,45711,154,72529,002,285145,011,425
-1-5-13-25-65-325-446,189-2,230,945-5,800,457-11,154,725-29,002,285-145,011,425

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 145,011,425:


Ask a Question