Q: What are the factor combinations of the number 134,145,125?

 A:
Positive:   1 x 1341451255 x 2682902525 x 5365805113 x 1187125125 x 1073161565 x 2374252825 x 474859497 x 14125
Negative: -1 x -134145125-5 x -26829025-25 x -5365805-113 x -1187125-125 x -1073161-565 x -237425-2825 x -47485-9497 x -14125


How do I find the factor combinations of the number 134,145,125?

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 134,145,125, 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.

1 134,145,125
-1 -134,145,125

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 134,145,125.

Example:
1 x 134,145,125 = 134,145,125
and
-1 x -134,145,125 = 134,145,125
Notice both answers equal 134,145,125

With that explanation out of the way, let's continue. Next, we take the number 134,145,125 and divide it by 2:

134,145,125 ÷ 2 = 67,072,562.5

If the quotient is a whole number, then 2 and 67,072,562.5 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:

1 134,145,125
-1 -134,145,125

Now, we try dividing 134,145,125 by 3:

134,145,125 ÷ 3 = 44,715,041.6667

If the quotient is a whole number, then 3 and 44,715,041.6667 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:

1 134,145,125
-1 -134,145,125

Let's try dividing by 4:

134,145,125 ÷ 4 = 33,536,281.25

If the quotient is a whole number, then 4 and 33,536,281.25 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:

1 134,145,125
-1 134,145,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251131255652,8259,49714,12547,485237,4251,073,1611,187,1255,365,80526,829,025134,145,125
-1-5-25-113-125-565-2,825-9,497-14,125-47,485-237,425-1,073,161-1,187,125-5,365,805-26,829,025-134,145,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 134,145,125:


Ask a Question