Q: What are the factor combinations of the number 23,570,701?

 A:
Positive:   1 x 235707017 x 336724311 x 214279177 x 306113443 x 53207691 x 341113101 x 76014837 x 4873
Negative: -1 x -23570701-7 x -3367243-11 x -2142791-77 x -306113-443 x -53207-691 x -34111-3101 x -7601-4837 x -4873


How do I find the factor combinations of the number 23,570,701?

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 23,570,701, 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 23,570,701
-1 -23,570,701

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 23,570,701.

Example:
1 x 23,570,701 = 23,570,701
and
-1 x -23,570,701 = 23,570,701
Notice both answers equal 23,570,701

With that explanation out of the way, let's continue. Next, we take the number 23,570,701 and divide it by 2:

23,570,701 ÷ 2 = 11,785,350.5

If the quotient is a whole number, then 2 and 11,785,350.5 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 23,570,701
-1 -23,570,701

Now, we try dividing 23,570,701 by 3:

23,570,701 ÷ 3 = 7,856,900.3333

If the quotient is a whole number, then 3 and 7,856,900.3333 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 23,570,701
-1 -23,570,701

Let's try dividing by 4:

23,570,701 ÷ 4 = 5,892,675.25

If the quotient is a whole number, then 4 and 5,892,675.25 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 23,570,701
-1 23,570,701
Keep dividing by the next highest number until you cannot divide anymore.

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

1711774436913,1014,8374,8737,60134,11153,207306,1132,142,7913,367,24323,570,701
-1-7-11-77-443-691-3,101-4,837-4,873-7,601-34,111-53,207-306,113-2,142,791-3,367,243-23,570,701

More Examples

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