Q: What are the factor combinations of the number 336,325,045?

 A:
Positive:   1 x 3363250455 x 672650097 x 4804643531 x 1084919535 x 9609287155 x 2169839217 x 15498851085 x 309977
Negative: -1 x -336325045-5 x -67265009-7 x -48046435-31 x -10849195-35 x -9609287-155 x -2169839-217 x -1549885-1085 x -309977


How do I find the factor combinations of the number 336,325,045?

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 336,325,045, 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.

1 336,325,045
-1 -336,325,045

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 336,325,045.

Example:
1 x 336,325,045 = 336,325,045
and
-1 x -336,325,045 = 336,325,045
Notice both answers equal 336,325,045

With that explanation out of the way, let's continue. Next, we take the number 336,325,045 and divide it by 2:

336,325,045 ÷ 2 = 168,162,522.5

If the quotient is a whole number, then 2 and 168,162,522.5 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:

1 336,325,045
-1 -336,325,045

Now, we try dividing 336,325,045 by 3:

336,325,045 ÷ 3 = 112,108,348.3333

If the quotient is a whole number, then 3 and 112,108,348.3333 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:

1 336,325,045
-1 -336,325,045

Let's try dividing by 4:

336,325,045 ÷ 4 = 84,081,261.25

If the quotient is a whole number, then 4 and 84,081,261.25 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:

1 336,325,045
-1 336,325,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,085309,9771,549,8852,169,8399,609,28710,849,19548,046,43567,265,009336,325,045
-1-5-7-31-35-155-217-1,085-309,977-1,549,885-2,169,839-9,609,287-10,849,195-48,046,435-67,265,009-336,325,045

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