Q: What are the factor combinations of the number 42,736,555?

 A:
Positive:   1 x 427365555 x 854731117 x 251391541 x 104235585 x 502783205 x 208471697 x 613153485 x 12263
Negative: -1 x -42736555-5 x -8547311-17 x -2513915-41 x -1042355-85 x -502783-205 x -208471-697 x -61315-3485 x -12263


How do I find the factor combinations of the number 42,736,555?

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 42,736,555, 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 42,736,555
-1 -42,736,555

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 42,736,555.

Example:
1 x 42,736,555 = 42,736,555
and
-1 x -42,736,555 = 42,736,555
Notice both answers equal 42,736,555

With that explanation out of the way, let's continue. Next, we take the number 42,736,555 and divide it by 2:

42,736,555 ÷ 2 = 21,368,277.5

If the quotient is a whole number, then 2 and 21,368,277.5 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 42,736,555
-1 -42,736,555

Now, we try dividing 42,736,555 by 3:

42,736,555 ÷ 3 = 14,245,518.3333

If the quotient is a whole number, then 3 and 14,245,518.3333 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 42,736,555
-1 -42,736,555

Let's try dividing by 4:

42,736,555 ÷ 4 = 10,684,138.75

If the quotient is a whole number, then 4 and 10,684,138.75 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 42,736,555
-1 42,736,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151741852056973,48512,26361,315208,471502,7831,042,3552,513,9158,547,31142,736,555
-1-5-17-41-85-205-697-3,485-12,263-61,315-208,471-502,783-1,042,355-2,513,915-8,547,311-42,736,555

More Examples

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