Q: What are the factor combinations of the number 69,905,143?

 A:
Positive:   1 x 699051437 x 998644911 x 635501343 x 162570177 x 907859301 x 232243473 x 147791491 x 1423731849 x 378073311 x 211133437 x 203395401 x 12943
Negative: -1 x -69905143-7 x -9986449-11 x -6355013-43 x -1625701-77 x -907859-301 x -232243-473 x -147791-491 x -142373-1849 x -37807-3311 x -21113-3437 x -20339-5401 x -12943


How do I find the factor combinations of the number 69,905,143?

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 69,905,143, 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 69,905,143
-1 -69,905,143

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 69,905,143.

Example:
1 x 69,905,143 = 69,905,143
and
-1 x -69,905,143 = 69,905,143
Notice both answers equal 69,905,143

With that explanation out of the way, let's continue. Next, we take the number 69,905,143 and divide it by 2:

69,905,143 ÷ 2 = 34,952,571.5

If the quotient is a whole number, then 2 and 34,952,571.5 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 69,905,143
-1 -69,905,143

Now, we try dividing 69,905,143 by 3:

69,905,143 ÷ 3 = 23,301,714.3333

If the quotient is a whole number, then 3 and 23,301,714.3333 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 69,905,143
-1 -69,905,143

Let's try dividing by 4:

69,905,143 ÷ 4 = 17,476,285.75

If the quotient is a whole number, then 4 and 17,476,285.75 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 69,905,143
-1 69,905,143
Keep dividing by the next highest number until you cannot divide anymore.

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

171143773014734911,8493,3113,4375,40112,94320,33921,11337,807142,373147,791232,243907,8591,625,7016,355,0139,986,44969,905,143
-1-7-11-43-77-301-473-491-1,849-3,311-3,437-5,401-12,943-20,339-21,113-37,807-142,373-147,791-232,243-907,859-1,625,701-6,355,013-9,986,449-69,905,143

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