Q: What are the factor combinations of the number 85,704,924?

 A:
Positive:   1 x 857049242 x 428524623 x 285683084 x 214262316 x 1428415412 x 714207741 x 209036482 x 1045182123 x 696788164 x 522591246 x 348394492 x 174197
Negative: -1 x -85704924-2 x -42852462-3 x -28568308-4 x -21426231-6 x -14284154-12 x -7142077-41 x -2090364-82 x -1045182-123 x -696788-164 x -522591-246 x -348394-492 x -174197


How do I find the factor combinations of the number 85,704,924?

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 85,704,924, 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 85,704,924
-1 -85,704,924

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 85,704,924.

Example:
1 x 85,704,924 = 85,704,924
and
-1 x -85,704,924 = 85,704,924
Notice both answers equal 85,704,924

With that explanation out of the way, let's continue. Next, we take the number 85,704,924 and divide it by 2:

85,704,924 ÷ 2 = 42,852,462

If the quotient is a whole number, then 2 and 42,852,462 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 42,852,462 85,704,924
-1 -2 -42,852,462 -85,704,924

Now, we try dividing 85,704,924 by 3:

85,704,924 ÷ 3 = 28,568,308

If the quotient is a whole number, then 3 and 28,568,308 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 28,568,308 42,852,462 85,704,924
-1 -2 -3 -28,568,308 -42,852,462 -85,704,924

Let's try dividing by 4:

85,704,924 ÷ 4 = 21,426,231

If the quotient is a whole number, then 4 and 21,426,231 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 21,426,231 28,568,308 42,852,462 85,704,924
-1 -2 -3 -4 -21,426,231 -28,568,308 -42,852,462 85,704,924
Keep dividing by the next highest number until you cannot divide anymore.

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

12346124182123164246492174,197348,394522,591696,7881,045,1822,090,3647,142,07714,284,15421,426,23128,568,30842,852,46285,704,924
-1-2-3-4-6-12-41-82-123-164-246-492-174,197-348,394-522,591-696,788-1,045,182-2,090,364-7,142,077-14,284,154-21,426,231-28,568,308-42,852,462-85,704,924

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