Q: What are the factor combinations of the number 70,138,675?

 A:
Positive:   1 x 701386755 x 1402773525 x 280554729 x 241857589 x 788075145 x 483715445 x 157615725 x 967431087 x 645252225 x 315232581 x 271755435 x 12905
Negative: -1 x -70138675-5 x -14027735-25 x -2805547-29 x -2418575-89 x -788075-145 x -483715-445 x -157615-725 x -96743-1087 x -64525-2225 x -31523-2581 x -27175-5435 x -12905


How do I find the factor combinations of the number 70,138,675?

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 70,138,675, 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 70,138,675
-1 -70,138,675

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 70,138,675.

Example:
1 x 70,138,675 = 70,138,675
and
-1 x -70,138,675 = 70,138,675
Notice both answers equal 70,138,675

With that explanation out of the way, let's continue. Next, we take the number 70,138,675 and divide it by 2:

70,138,675 ÷ 2 = 35,069,337.5

If the quotient is a whole number, then 2 and 35,069,337.5 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 70,138,675
-1 -70,138,675

Now, we try dividing 70,138,675 by 3:

70,138,675 ÷ 3 = 23,379,558.3333

If the quotient is a whole number, then 3 and 23,379,558.3333 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 70,138,675
-1 -70,138,675

Let's try dividing by 4:

70,138,675 ÷ 4 = 17,534,668.75

If the quotient is a whole number, then 4 and 17,534,668.75 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 70,138,675
-1 70,138,675
Keep dividing by the next highest number until you cannot divide anymore.

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

152529891454457251,0872,2252,5815,43512,90527,17531,52364,52596,743157,615483,715788,0752,418,5752,805,54714,027,73570,138,675
-1-5-25-29-89-145-445-725-1,087-2,225-2,581-5,435-12,905-27,175-31,523-64,525-96,743-157,615-483,715-788,075-2,418,575-2,805,547-14,027,735-70,138,675

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