Q: What are the factor combinations of the number 36,667,345?

 A:
Positive:   1 x 366673455 x 733346911 x 333339513 x 282056555 x 66667965 x 564113143 x 256415715 x 51283
Negative: -1 x -36667345-5 x -7333469-11 x -3333395-13 x -2820565-55 x -666679-65 x -564113-143 x -256415-715 x -51283


How do I find the factor combinations of the number 36,667,345?

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 36,667,345, 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 36,667,345
-1 -36,667,345

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 36,667,345.

Example:
1 x 36,667,345 = 36,667,345
and
-1 x -36,667,345 = 36,667,345
Notice both answers equal 36,667,345

With that explanation out of the way, let's continue. Next, we take the number 36,667,345 and divide it by 2:

36,667,345 ÷ 2 = 18,333,672.5

If the quotient is a whole number, then 2 and 18,333,672.5 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 36,667,345
-1 -36,667,345

Now, we try dividing 36,667,345 by 3:

36,667,345 ÷ 3 = 12,222,448.3333

If the quotient is a whole number, then 3 and 12,222,448.3333 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 36,667,345
-1 -36,667,345

Let's try dividing by 4:

36,667,345 ÷ 4 = 9,166,836.25

If the quotient is a whole number, then 4 and 9,166,836.25 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 36,667,345
-1 36,667,345
Keep dividing by the next highest number until you cannot divide anymore.

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

151113556514371551,283256,415564,113666,6792,820,5653,333,3957,333,46936,667,345
-1-5-11-13-55-65-143-715-51,283-256,415-564,113-666,679-2,820,565-3,333,395-7,333,469-36,667,345

More Examples

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