Q: What are the factor combinations of the number 48,085,565?

 A:
Positive:   1 x 480855655 x 961711311 x 437141555 x 87428367 x 717695335 x 143539737 x 652453685 x 13049
Negative: -1 x -48085565-5 x -9617113-11 x -4371415-55 x -874283-67 x -717695-335 x -143539-737 x -65245-3685 x -13049


How do I find the factor combinations of the number 48,085,565?

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 48,085,565, 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 48,085,565
-1 -48,085,565

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 48,085,565.

Example:
1 x 48,085,565 = 48,085,565
and
-1 x -48,085,565 = 48,085,565
Notice both answers equal 48,085,565

With that explanation out of the way, let's continue. Next, we take the number 48,085,565 and divide it by 2:

48,085,565 ÷ 2 = 24,042,782.5

If the quotient is a whole number, then 2 and 24,042,782.5 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 48,085,565
-1 -48,085,565

Now, we try dividing 48,085,565 by 3:

48,085,565 ÷ 3 = 16,028,521.6667

If the quotient is a whole number, then 3 and 16,028,521.6667 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 48,085,565
-1 -48,085,565

Let's try dividing by 4:

48,085,565 ÷ 4 = 12,021,391.25

If the quotient is a whole number, then 4 and 12,021,391.25 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 48,085,565
-1 48,085,565
Keep dividing by the next highest number until you cannot divide anymore.

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

151155673357373,68513,04965,245143,539717,695874,2834,371,4159,617,11348,085,565
-1-5-11-55-67-335-737-3,685-13,049-65,245-143,539-717,695-874,283-4,371,415-9,617,113-48,085,565

More Examples

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