Q: What are the factor combinations of the number 46,106,179?

 A:
Positive:   1 x 461061797 x 658659719 x 242664161 x 755839133 x 346663427 x 1079771159 x 397815683 x 8113
Negative: -1 x -46106179-7 x -6586597-19 x -2426641-61 x -755839-133 x -346663-427 x -107977-1159 x -39781-5683 x -8113


How do I find the factor combinations of the number 46,106,179?

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 46,106,179, 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 46,106,179
-1 -46,106,179

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 46,106,179.

Example:
1 x 46,106,179 = 46,106,179
and
-1 x -46,106,179 = 46,106,179
Notice both answers equal 46,106,179

With that explanation out of the way, let's continue. Next, we take the number 46,106,179 and divide it by 2:

46,106,179 ÷ 2 = 23,053,089.5

If the quotient is a whole number, then 2 and 23,053,089.5 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 46,106,179
-1 -46,106,179

Now, we try dividing 46,106,179 by 3:

46,106,179 ÷ 3 = 15,368,726.3333

If the quotient is a whole number, then 3 and 15,368,726.3333 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 46,106,179
-1 -46,106,179

Let's try dividing by 4:

46,106,179 ÷ 4 = 11,526,544.75

If the quotient is a whole number, then 4 and 11,526,544.75 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 46,106,179
-1 46,106,179
Keep dividing by the next highest number until you cannot divide anymore.

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

1719611334271,1595,6838,11339,781107,977346,663755,8392,426,6416,586,59746,106,179
-1-7-19-61-133-427-1,159-5,683-8,113-39,781-107,977-346,663-755,839-2,426,641-6,586,597-46,106,179

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