Q: What are the factor combinations of the number 46,208,005?

 A:
Positive:   1 x 462080055 x 924160137 x 1248865101 x 457505185 x 249773505 x 915012473 x 186853737 x 12365
Negative: -1 x -46208005-5 x -9241601-37 x -1248865-101 x -457505-185 x -249773-505 x -91501-2473 x -18685-3737 x -12365


How do I find the factor combinations of the number 46,208,005?

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 46,208,005, 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 46,208,005
-1 -46,208,005

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 46,208,005.

Example:
1 x 46,208,005 = 46,208,005
and
-1 x -46,208,005 = 46,208,005
Notice both answers equal 46,208,005

With that explanation out of the way, let's continue. Next, we take the number 46,208,005 and divide it by 2:

46,208,005 ÷ 2 = 23,104,002.5

If the quotient is a whole number, then 2 and 23,104,002.5 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 46,208,005
-1 -46,208,005

Now, we try dividing 46,208,005 by 3:

46,208,005 ÷ 3 = 15,402,668.3333

If the quotient is a whole number, then 3 and 15,402,668.3333 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 46,208,005
-1 -46,208,005

Let's try dividing by 4:

46,208,005 ÷ 4 = 11,552,001.25

If the quotient is a whole number, then 4 and 11,552,001.25 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 46,208,005
-1 46,208,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15371011855052,4733,73712,36518,68591,501249,773457,5051,248,8659,241,60146,208,005
-1-5-37-101-185-505-2,473-3,737-12,365-18,685-91,501-249,773-457,505-1,248,865-9,241,601-46,208,005

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