Q: What are the factor combinations of the number 46,341,205?

 A:
Positive:   1 x 463412055 x 926824123 x 201483537 x 1252465115 x 402967185 x 250493851 x 544554255 x 10891
Negative: -1 x -46341205-5 x -9268241-23 x -2014835-37 x -1252465-115 x -402967-185 x -250493-851 x -54455-4255 x -10891


How do I find the factor combinations of the number 46,341,205?

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 46,341,205, 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 46,341,205
-1 -46,341,205

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 46,341,205.

Example:
1 x 46,341,205 = 46,341,205
and
-1 x -46,341,205 = 46,341,205
Notice both answers equal 46,341,205

With that explanation out of the way, let's continue. Next, we take the number 46,341,205 and divide it by 2:

46,341,205 ÷ 2 = 23,170,602.5

If the quotient is a whole number, then 2 and 23,170,602.5 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 46,341,205
-1 -46,341,205

Now, we try dividing 46,341,205 by 3:

46,341,205 ÷ 3 = 15,447,068.3333

If the quotient is a whole number, then 3 and 15,447,068.3333 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 46,341,205
-1 -46,341,205

Let's try dividing by 4:

46,341,205 ÷ 4 = 11,585,301.25

If the quotient is a whole number, then 4 and 11,585,301.25 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 46,341,205
-1 46,341,205
Keep dividing by the next highest number until you cannot divide anymore.

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

1523371151858514,25510,89154,455250,493402,9671,252,4652,014,8359,268,24146,341,205
-1-5-23-37-115-185-851-4,255-10,891-54,455-250,493-402,967-1,252,465-2,014,835-9,268,241-46,341,205

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