Q: What are the factor combinations of the number 375,000,647?

 A:
Positive:   1 x 3750006477 x 53571521127 x 2952761137 x 2737231889 x 421823959 x 3910333079 x 12179317399 x 21553
Negative: -1 x -375000647-7 x -53571521-127 x -2952761-137 x -2737231-889 x -421823-959 x -391033-3079 x -121793-17399 x -21553


How do I find the factor combinations of the number 375,000,647?

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 375,000,647, 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.

1 375,000,647
-1 -375,000,647

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 375,000,647.

Example:
1 x 375,000,647 = 375,000,647
and
-1 x -375,000,647 = 375,000,647
Notice both answers equal 375,000,647

With that explanation out of the way, let's continue. Next, we take the number 375,000,647 and divide it by 2:

375,000,647 ÷ 2 = 187,500,323.5

If the quotient is a whole number, then 2 and 187,500,323.5 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:

1 375,000,647
-1 -375,000,647

Now, we try dividing 375,000,647 by 3:

375,000,647 ÷ 3 = 125,000,215.6667

If the quotient is a whole number, then 3 and 125,000,215.6667 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:

1 375,000,647
-1 -375,000,647

Let's try dividing by 4:

375,000,647 ÷ 4 = 93,750,161.75

If the quotient is a whole number, then 4 and 93,750,161.75 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:

1 375,000,647
-1 375,000,647
Keep dividing by the next highest number until you cannot divide anymore.

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

171271378899593,07917,39921,553121,793391,033421,8232,737,2312,952,76153,571,521375,000,647
-1-7-127-137-889-959-3,079-17,399-21,553-121,793-391,033-421,823-2,737,231-2,952,761-53,571,521-375,000,647

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