Q: What are the factor combinations of the number 252,624,335?

 A:
Positive:   1 x 2526243355 x 5052486717 x 1486025585 x 2972051509 x 4963152545 x 992635839 x 432658653 x 29195
Negative: -1 x -252624335-5 x -50524867-17 x -14860255-85 x -2972051-509 x -496315-2545 x -99263-5839 x -43265-8653 x -29195


How do I find the factor combinations of the number 252,624,335?

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 252,624,335, 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.

1 252,624,335
-1 -252,624,335

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 252,624,335.

Example:
1 x 252,624,335 = 252,624,335
and
-1 x -252,624,335 = 252,624,335
Notice both answers equal 252,624,335

With that explanation out of the way, let's continue. Next, we take the number 252,624,335 and divide it by 2:

252,624,335 ÷ 2 = 126,312,167.5

If the quotient is a whole number, then 2 and 126,312,167.5 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:

1 252,624,335
-1 -252,624,335

Now, we try dividing 252,624,335 by 3:

252,624,335 ÷ 3 = 84,208,111.6667

If the quotient is a whole number, then 3 and 84,208,111.6667 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:

1 252,624,335
-1 -252,624,335

Let's try dividing by 4:

252,624,335 ÷ 4 = 63,156,083.75

If the quotient is a whole number, then 4 and 63,156,083.75 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:

1 252,624,335
-1 252,624,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1517855092,5455,8398,65329,19543,26599,263496,3152,972,05114,860,25550,524,867252,624,335
-1-5-17-85-509-2,545-5,839-8,653-29,195-43,265-99,263-496,315-2,972,051-14,860,255-50,524,867-252,624,335

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