Q: What are the factor combinations of the number 700,171,045?

 A:
Positive:   1 x 7001710455 x 1400342097 x 10002443535 x 2000488749 x 14289205245 x 2857841343 x 20413151715 x 408263
Negative: -1 x -700171045-5 x -140034209-7 x -100024435-35 x -20004887-49 x -14289205-245 x -2857841-343 x -2041315-1715 x -408263


How do I find the factor combinations of the number 700,171,045?

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 700,171,045, 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.

1 700,171,045
-1 -700,171,045

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 700,171,045.

Example:
1 x 700,171,045 = 700,171,045
and
-1 x -700,171,045 = 700,171,045
Notice both answers equal 700,171,045

With that explanation out of the way, let's continue. Next, we take the number 700,171,045 and divide it by 2:

700,171,045 ÷ 2 = 350,085,522.5

If the quotient is a whole number, then 2 and 350,085,522.5 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:

1 700,171,045
-1 -700,171,045

Now, we try dividing 700,171,045 by 3:

700,171,045 ÷ 3 = 233,390,348.3333

If the quotient is a whole number, then 3 and 233,390,348.3333 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:

1 700,171,045
-1 -700,171,045

Let's try dividing by 4:

700,171,045 ÷ 4 = 175,042,761.25

If the quotient is a whole number, then 4 and 175,042,761.25 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:

1 700,171,045
-1 700,171,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453431,715408,2632,041,3152,857,84114,289,20520,004,887100,024,435140,034,209700,171,045
-1-5-7-35-49-245-343-1,715-408,263-2,041,315-2,857,841-14,289,205-20,004,887-100,024,435-140,034,209-700,171,045

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