Q: What are the factor combinations of the number 705,146,629?

 A:
Positive:   1 x 70514662911 x 6410423929 x 2431540137 x 19058017319 x 2210491407 x 17325471073 x 65717311803 x 59743
Negative: -1 x -705146629-11 x -64104239-29 x -24315401-37 x -19058017-319 x -2210491-407 x -1732547-1073 x -657173-11803 x -59743


How do I find the factor combinations of the number 705,146,629?

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 705,146,629, 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.

1 705,146,629
-1 -705,146,629

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 705,146,629.

Example:
1 x 705,146,629 = 705,146,629
and
-1 x -705,146,629 = 705,146,629
Notice both answers equal 705,146,629

With that explanation out of the way, let's continue. Next, we take the number 705,146,629 and divide it by 2:

705,146,629 ÷ 2 = 352,573,314.5

If the quotient is a whole number, then 2 and 352,573,314.5 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:

1 705,146,629
-1 -705,146,629

Now, we try dividing 705,146,629 by 3:

705,146,629 ÷ 3 = 235,048,876.3333

If the quotient is a whole number, then 3 and 235,048,876.3333 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:

1 705,146,629
-1 -705,146,629

Let's try dividing by 4:

705,146,629 ÷ 4 = 176,286,657.25

If the quotient is a whole number, then 4 and 176,286,657.25 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:

1 705,146,629
-1 705,146,629
Keep dividing by the next highest number until you cannot divide anymore.

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

11129373194071,07311,80359,743657,1731,732,5472,210,49119,058,01724,315,40164,104,239705,146,629
-1-11-29-37-319-407-1,073-11,803-59,743-657,173-1,732,547-2,210,491-19,058,017-24,315,401-64,104,239-705,146,629

More Examples

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