Q: What are the factor combinations of the number 70,737,007?

 A:
Positive:   1 x 7073700711 x 643063737 x 1911811151 x 468457407 x 1738011151 x 614571661 x 425875587 x 12661
Negative: -1 x -70737007-11 x -6430637-37 x -1911811-151 x -468457-407 x -173801-1151 x -61457-1661 x -42587-5587 x -12661


How do I find the factor combinations of the number 70,737,007?

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 70,737,007, 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 70,737,007
-1 -70,737,007

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 70,737,007.

Example:
1 x 70,737,007 = 70,737,007
and
-1 x -70,737,007 = 70,737,007
Notice both answers equal 70,737,007

With that explanation out of the way, let's continue. Next, we take the number 70,737,007 and divide it by 2:

70,737,007 ÷ 2 = 35,368,503.5

If the quotient is a whole number, then 2 and 35,368,503.5 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 70,737,007
-1 -70,737,007

Now, we try dividing 70,737,007 by 3:

70,737,007 ÷ 3 = 23,579,002.3333

If the quotient is a whole number, then 3 and 23,579,002.3333 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 70,737,007
-1 -70,737,007

Let's try dividing by 4:

70,737,007 ÷ 4 = 17,684,251.75

If the quotient is a whole number, then 4 and 17,684,251.75 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 70,737,007
-1 70,737,007
Keep dividing by the next highest number until you cannot divide anymore.

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

111371514071,1511,6615,58712,66142,58761,457173,801468,4571,911,8116,430,63770,737,007
-1-11-37-151-407-1,151-1,661-5,587-12,661-42,587-61,457-173,801-468,457-1,911,811-6,430,637-70,737,007

More Examples

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