Q: What are the factor combinations of the number 46,224,035?

 A:
Positive:   1 x 462240355 x 924480711 x 420218513 x 355569555 x 84043765 x 711139143 x 323245169 x 273515715 x 64649845 x 547031859 x 248654973 x 9295
Negative: -1 x -46224035-5 x -9244807-11 x -4202185-13 x -3555695-55 x -840437-65 x -711139-143 x -323245-169 x -273515-715 x -64649-845 x -54703-1859 x -24865-4973 x -9295


How do I find the factor combinations of the number 46,224,035?

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 46,224,035, 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 46,224,035
-1 -46,224,035

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 46,224,035.

Example:
1 x 46,224,035 = 46,224,035
and
-1 x -46,224,035 = 46,224,035
Notice both answers equal 46,224,035

With that explanation out of the way, let's continue. Next, we take the number 46,224,035 and divide it by 2:

46,224,035 ÷ 2 = 23,112,017.5

If the quotient is a whole number, then 2 and 23,112,017.5 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 46,224,035
-1 -46,224,035

Now, we try dividing 46,224,035 by 3:

46,224,035 ÷ 3 = 15,408,011.6667

If the quotient is a whole number, then 3 and 15,408,011.6667 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 46,224,035
-1 -46,224,035

Let's try dividing by 4:

46,224,035 ÷ 4 = 11,556,008.75

If the quotient is a whole number, then 4 and 11,556,008.75 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 46,224,035
-1 46,224,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651431697158451,8594,9739,29524,86554,70364,649273,515323,245711,139840,4373,555,6954,202,1859,244,80746,224,035
-1-5-11-13-55-65-143-169-715-845-1,859-4,973-9,295-24,865-54,703-64,649-273,515-323,245-711,139-840,437-3,555,695-4,202,185-9,244,807-46,224,035

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