Q: What are the factor combinations of the number 46,025,045?

 A:
Positive:   1 x 460250455 x 920500911 x 418409555 x 83681997 x 474485485 x 948971067 x 431355335 x 8627
Negative: -1 x -46025045-5 x -9205009-11 x -4184095-55 x -836819-97 x -474485-485 x -94897-1067 x -43135-5335 x -8627


How do I find the factor combinations of the number 46,025,045?

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 46,025,045, 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 46,025,045
-1 -46,025,045

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 46,025,045.

Example:
1 x 46,025,045 = 46,025,045
and
-1 x -46,025,045 = 46,025,045
Notice both answers equal 46,025,045

With that explanation out of the way, let's continue. Next, we take the number 46,025,045 and divide it by 2:

46,025,045 ÷ 2 = 23,012,522.5

If the quotient is a whole number, then 2 and 23,012,522.5 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 46,025,045
-1 -46,025,045

Now, we try dividing 46,025,045 by 3:

46,025,045 ÷ 3 = 15,341,681.6667

If the quotient is a whole number, then 3 and 15,341,681.6667 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 46,025,045
-1 -46,025,045

Let's try dividing by 4:

46,025,045 ÷ 4 = 11,506,261.25

If the quotient is a whole number, then 4 and 11,506,261.25 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 46,025,045
-1 46,025,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151155974851,0675,3358,62743,13594,897474,485836,8194,184,0959,205,00946,025,045
-1-5-11-55-97-485-1,067-5,335-8,627-43,135-94,897-474,485-836,819-4,184,095-9,205,009-46,025,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 46,025,045:


Ask a Question