Q: What are the factor combinations of the number 46,152,569?

 A:
Positive:   1 x 4615256917 x 2714857197 x 2342773349 x 13781
Negative: -1 x -46152569-17 x -2714857-197 x -234277-3349 x -13781


How do I find the factor combinations of the number 46,152,569?

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 46,152,569, 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 46,152,569
-1 -46,152,569

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 46,152,569.

Example:
1 x 46,152,569 = 46,152,569
and
-1 x -46,152,569 = 46,152,569
Notice both answers equal 46,152,569

With that explanation out of the way, let's continue. Next, we take the number 46,152,569 and divide it by 2:

46,152,569 ÷ 2 = 23,076,284.5

If the quotient is a whole number, then 2 and 23,076,284.5 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 46,152,569
-1 -46,152,569

Now, we try dividing 46,152,569 by 3:

46,152,569 ÷ 3 = 15,384,189.6667

If the quotient is a whole number, then 3 and 15,384,189.6667 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 46,152,569
-1 -46,152,569

Let's try dividing by 4:

46,152,569 ÷ 4 = 11,538,142.25

If the quotient is a whole number, then 4 and 11,538,142.25 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 46,152,569
-1 46,152,569
Keep dividing by the next highest number until you cannot divide anymore.

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

1171973,34913,781234,2772,714,85746,152,569
-1-17-197-3,349-13,781-234,277-2,714,857-46,152,569

More Examples

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