Q: What are the factor combinations of the number 56,679,701?

 A:
Positive:   1 x 5667970113 x 43599771093 x 518573989 x 14209
Negative: -1 x -56679701-13 x -4359977-1093 x -51857-3989 x -14209


How do I find the factor combinations of the number 56,679,701?

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 56,679,701, 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 56,679,701
-1 -56,679,701

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 56,679,701.

Example:
1 x 56,679,701 = 56,679,701
and
-1 x -56,679,701 = 56,679,701
Notice both answers equal 56,679,701

With that explanation out of the way, let's continue. Next, we take the number 56,679,701 and divide it by 2:

56,679,701 ÷ 2 = 28,339,850.5

If the quotient is a whole number, then 2 and 28,339,850.5 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 56,679,701
-1 -56,679,701

Now, we try dividing 56,679,701 by 3:

56,679,701 ÷ 3 = 18,893,233.6667

If the quotient is a whole number, then 3 and 18,893,233.6667 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 56,679,701
-1 -56,679,701

Let's try dividing by 4:

56,679,701 ÷ 4 = 14,169,925.25

If the quotient is a whole number, then 4 and 14,169,925.25 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 56,679,701
-1 56,679,701
Keep dividing by the next highest number until you cannot divide anymore.

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

1131,0933,98914,20951,8574,359,97756,679,701
-1-13-1,093-3,989-14,209-51,857-4,359,977-56,679,701

More Examples

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