Q: What are the factor combinations of the number 46,173,335?

 A:
Positive:   1 x 461733355 x 923466713 x 355179553 x 87119565 x 710359169 x 273215265 x 174239689 x 67015845 x 546431031 x 447853445 x 134035155 x 8957
Negative: -1 x -46173335-5 x -9234667-13 x -3551795-53 x -871195-65 x -710359-169 x -273215-265 x -174239-689 x -67015-845 x -54643-1031 x -44785-3445 x -13403-5155 x -8957


How do I find the factor combinations of the number 46,173,335?

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 46,173,335, 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 46,173,335
-1 -46,173,335

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 46,173,335.

Example:
1 x 46,173,335 = 46,173,335
and
-1 x -46,173,335 = 46,173,335
Notice both answers equal 46,173,335

With that explanation out of the way, let's continue. Next, we take the number 46,173,335 and divide it by 2:

46,173,335 ÷ 2 = 23,086,667.5

If the quotient is a whole number, then 2 and 23,086,667.5 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 46,173,335
-1 -46,173,335

Now, we try dividing 46,173,335 by 3:

46,173,335 ÷ 3 = 15,391,111.6667

If the quotient is a whole number, then 3 and 15,391,111.6667 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 46,173,335
-1 -46,173,335

Let's try dividing by 4:

46,173,335 ÷ 4 = 11,543,333.75

If the quotient is a whole number, then 4 and 11,543,333.75 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 46,173,335
-1 46,173,335
Keep dividing by the next highest number until you cannot divide anymore.

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

151353651692656898451,0313,4455,1558,95713,40344,78554,64367,015174,239273,215710,359871,1953,551,7959,234,66746,173,335
-1-5-13-53-65-169-265-689-845-1,031-3,445-5,155-8,957-13,403-44,785-54,643-67,015-174,239-273,215-710,359-871,195-3,551,795-9,234,667-46,173,335

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