Q: What are the factor combinations of the number 133,523,425?

 A:
Positive:   1 x 1335234255 x 267046857 x 1907477525 x 534093735 x 3814955175 x 762991509 x 2623251499 x 890752545 x 524653563 x 374757495 x 1781510493 x 12725
Negative: -1 x -133523425-5 x -26704685-7 x -19074775-25 x -5340937-35 x -3814955-175 x -762991-509 x -262325-1499 x -89075-2545 x -52465-3563 x -37475-7495 x -17815-10493 x -12725


How do I find the factor combinations of the number 133,523,425?

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 133,523,425, 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.

1 133,523,425
-1 -133,523,425

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 133,523,425.

Example:
1 x 133,523,425 = 133,523,425
and
-1 x -133,523,425 = 133,523,425
Notice both answers equal 133,523,425

With that explanation out of the way, let's continue. Next, we take the number 133,523,425 and divide it by 2:

133,523,425 ÷ 2 = 66,761,712.5

If the quotient is a whole number, then 2 and 66,761,712.5 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:

1 133,523,425
-1 -133,523,425

Now, we try dividing 133,523,425 by 3:

133,523,425 ÷ 3 = 44,507,808.3333

If the quotient is a whole number, then 3 and 44,507,808.3333 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:

1 133,523,425
-1 -133,523,425

Let's try dividing by 4:

133,523,425 ÷ 4 = 33,380,856.25

If the quotient is a whole number, then 4 and 33,380,856.25 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:

1 133,523,425
-1 133,523,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351755091,4992,5453,5637,49510,49312,72517,81537,47552,46589,075262,325762,9913,814,9555,340,93719,074,77526,704,685133,523,425
-1-5-7-25-35-175-509-1,499-2,545-3,563-7,495-10,493-12,725-17,815-37,475-52,465-89,075-262,325-762,991-3,814,955-5,340,937-19,074,775-26,704,685-133,523,425

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 133,523,425:


Ask a Question