Q: What are the factor combinations of the number 358,070,377?

 A:
Positive:   1 x 3580703777 x 51152911151 x 23713271057 x 338761
Negative: -1 x -358070377-7 x -51152911-151 x -2371327-1057 x -338761


How do I find the factor combinations of the number 358,070,377?

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 358,070,377, 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.

1 358,070,377
-1 -358,070,377

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 358,070,377.

Example:
1 x 358,070,377 = 358,070,377
and
-1 x -358,070,377 = 358,070,377
Notice both answers equal 358,070,377

With that explanation out of the way, let's continue. Next, we take the number 358,070,377 and divide it by 2:

358,070,377 ÷ 2 = 179,035,188.5

If the quotient is a whole number, then 2 and 179,035,188.5 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:

1 358,070,377
-1 -358,070,377

Now, we try dividing 358,070,377 by 3:

358,070,377 ÷ 3 = 119,356,792.3333

If the quotient is a whole number, then 3 and 119,356,792.3333 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:

1 358,070,377
-1 -358,070,377

Let's try dividing by 4:

358,070,377 ÷ 4 = 89,517,594.25

If the quotient is a whole number, then 4 and 89,517,594.25 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:

1 358,070,377
-1 358,070,377
Keep dividing by the next highest number until you cannot divide anymore.

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

171511,057338,7612,371,32751,152,911358,070,377
-1-7-151-1,057-338,761-2,371,327-51,152,911-358,070,377

More Examples

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