Q: What are the factor combinations of the number 70,240,643?

 A:
Positive:   1 x 7024064311 x 638551323 x 3053941253 x 277631313 x 224411887 x 791893443 x 204017199 x 9757
Negative: -1 x -70240643-11 x -6385513-23 x -3053941-253 x -277631-313 x -224411-887 x -79189-3443 x -20401-7199 x -9757


How do I find the factor combinations of the number 70,240,643?

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 70,240,643, 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 70,240,643
-1 -70,240,643

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 70,240,643.

Example:
1 x 70,240,643 = 70,240,643
and
-1 x -70,240,643 = 70,240,643
Notice both answers equal 70,240,643

With that explanation out of the way, let's continue. Next, we take the number 70,240,643 and divide it by 2:

70,240,643 ÷ 2 = 35,120,321.5

If the quotient is a whole number, then 2 and 35,120,321.5 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 70,240,643
-1 -70,240,643

Now, we try dividing 70,240,643 by 3:

70,240,643 ÷ 3 = 23,413,547.6667

If the quotient is a whole number, then 3 and 23,413,547.6667 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 70,240,643
-1 -70,240,643

Let's try dividing by 4:

70,240,643 ÷ 4 = 17,560,160.75

If the quotient is a whole number, then 4 and 17,560,160.75 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 70,240,643
-1 70,240,643
Keep dividing by the next highest number until you cannot divide anymore.

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

111232533138873,4437,1999,75720,40179,189224,411277,6313,053,9416,385,51370,240,643
-1-11-23-253-313-887-3,443-7,199-9,757-20,401-79,189-224,411-277,631-3,053,941-6,385,513-70,240,643

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