Q: What are the factor combinations of the number 358,721,875?

 A:
Positive:   1 x 3587218755 x 7174437525 x 14348875125 x 2869775191 x 1878125601 x 596875625 x 573955955 x 3756253005 x 1193753125 x 1147914775 x 7512515025 x 23875
Negative: -1 x -358721875-5 x -71744375-25 x -14348875-125 x -2869775-191 x -1878125-601 x -596875-625 x -573955-955 x -375625-3005 x -119375-3125 x -114791-4775 x -75125-15025 x -23875


How do I find the factor combinations of the number 358,721,875?

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 358,721,875, 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.

1 358,721,875
-1 -358,721,875

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 358,721,875.

Example:
1 x 358,721,875 = 358,721,875
and
-1 x -358,721,875 = 358,721,875
Notice both answers equal 358,721,875

With that explanation out of the way, let's continue. Next, we take the number 358,721,875 and divide it by 2:

358,721,875 ÷ 2 = 179,360,937.5

If the quotient is a whole number, then 2 and 179,360,937.5 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:

1 358,721,875
-1 -358,721,875

Now, we try dividing 358,721,875 by 3:

358,721,875 ÷ 3 = 119,573,958.3333

If the quotient is a whole number, then 3 and 119,573,958.3333 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:

1 358,721,875
-1 -358,721,875

Let's try dividing by 4:

358,721,875 ÷ 4 = 89,680,468.75

If the quotient is a whole number, then 4 and 89,680,468.75 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:

1 358,721,875
-1 358,721,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251916016259553,0053,1254,77515,02523,87575,125114,791119,375375,625573,955596,8751,878,1252,869,77514,348,87571,744,375358,721,875
-1-5-25-125-191-601-625-955-3,005-3,125-4,775-15,025-23,875-75,125-114,791-119,375-375,625-573,955-596,875-1,878,125-2,869,775-14,348,875-71,744,375-358,721,875

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