Q: What are the factor combinations of the number 375,510,223?

 A:
Positive:   1 x 37551022311 x 3413729331 x 12113233101 x 3717923341 x 11012031111 x 3379933131 x 11993310903 x 34441
Negative: -1 x -375510223-11 x -34137293-31 x -12113233-101 x -3717923-341 x -1101203-1111 x -337993-3131 x -119933-10903 x -34441


How do I find the factor combinations of the number 375,510,223?

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 375,510,223, 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.

1 375,510,223
-1 -375,510,223

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 375,510,223.

Example:
1 x 375,510,223 = 375,510,223
and
-1 x -375,510,223 = 375,510,223
Notice both answers equal 375,510,223

With that explanation out of the way, let's continue. Next, we take the number 375,510,223 and divide it by 2:

375,510,223 ÷ 2 = 187,755,111.5

If the quotient is a whole number, then 2 and 187,755,111.5 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:

1 375,510,223
-1 -375,510,223

Now, we try dividing 375,510,223 by 3:

375,510,223 ÷ 3 = 125,170,074.3333

If the quotient is a whole number, then 3 and 125,170,074.3333 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:

1 375,510,223
-1 -375,510,223

Let's try dividing by 4:

375,510,223 ÷ 4 = 93,877,555.75

If the quotient is a whole number, then 4 and 93,877,555.75 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:

1 375,510,223
-1 375,510,223
Keep dividing by the next highest number until you cannot divide anymore.

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

111311013411,1113,13110,90334,441119,933337,9931,101,2033,717,92312,113,23334,137,293375,510,223
-1-11-31-101-341-1,111-3,131-10,903-34,441-119,933-337,993-1,101,203-3,717,923-12,113,233-34,137,293-375,510,223

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