Q: What are the factor combinations of the number 701,461,565?

 A:
Positive:   1 x 7014615655 x 1402923137 x 10020879517 x 4126244535 x 2004175985 x 8252489119 x 5894635595 x 1178927
Negative: -1 x -701461565-5 x -140292313-7 x -100208795-17 x -41262445-35 x -20041759-85 x -8252489-119 x -5894635-595 x -1178927


How do I find the factor combinations of the number 701,461,565?

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 701,461,565, 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.

1 701,461,565
-1 -701,461,565

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 701,461,565.

Example:
1 x 701,461,565 = 701,461,565
and
-1 x -701,461,565 = 701,461,565
Notice both answers equal 701,461,565

With that explanation out of the way, let's continue. Next, we take the number 701,461,565 and divide it by 2:

701,461,565 ÷ 2 = 350,730,782.5

If the quotient is a whole number, then 2 and 350,730,782.5 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:

1 701,461,565
-1 -701,461,565

Now, we try dividing 701,461,565 by 3:

701,461,565 ÷ 3 = 233,820,521.6667

If the quotient is a whole number, then 3 and 233,820,521.6667 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:

1 701,461,565
-1 -701,461,565

Let's try dividing by 4:

701,461,565 ÷ 4 = 175,365,391.25

If the quotient is a whole number, then 4 and 175,365,391.25 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:

1 701,461,565
-1 701,461,565
Keep dividing by the next highest number until you cannot divide anymore.

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

1571735851195951,178,9275,894,6358,252,48920,041,75941,262,445100,208,795140,292,313701,461,565
-1-5-7-17-35-85-119-595-1,178,927-5,894,635-8,252,489-20,041,759-41,262,445-100,208,795-140,292,313-701,461,565

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