Q: What are the factor combinations of the number 46,840,453?

 A:
Positive:   1 x 4684045311 x 425822319 x 2465287209 x 224117271 x 172843827 x 566392981 x 157135149 x 9097
Negative: -1 x -46840453-11 x -4258223-19 x -2465287-209 x -224117-271 x -172843-827 x -56639-2981 x -15713-5149 x -9097


How do I find the factor combinations of the number 46,840,453?

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 46,840,453, 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 46,840,453
-1 -46,840,453

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 46,840,453.

Example:
1 x 46,840,453 = 46,840,453
and
-1 x -46,840,453 = 46,840,453
Notice both answers equal 46,840,453

With that explanation out of the way, let's continue. Next, we take the number 46,840,453 and divide it by 2:

46,840,453 ÷ 2 = 23,420,226.5

If the quotient is a whole number, then 2 and 23,420,226.5 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 46,840,453
-1 -46,840,453

Now, we try dividing 46,840,453 by 3:

46,840,453 ÷ 3 = 15,613,484.3333

If the quotient is a whole number, then 3 and 15,613,484.3333 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 46,840,453
-1 -46,840,453

Let's try dividing by 4:

46,840,453 ÷ 4 = 11,710,113.25

If the quotient is a whole number, then 4 and 11,710,113.25 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 46,840,453
-1 46,840,453
Keep dividing by the next highest number until you cannot divide anymore.

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

111192092718272,9815,1499,09715,71356,639172,843224,1172,465,2874,258,22346,840,453
-1-11-19-209-271-827-2,981-5,149-9,097-15,713-56,639-172,843-224,117-2,465,287-4,258,223-46,840,453

More Examples

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