Q: What are the factor combinations of the number 371,640,745?

 A:
Positive:   1 x 3716407455 x 743281497 x 5309153535 x 1061830749 x 7584505245 x 15169011063 x 3496151427 x 2604355315 x 699237135 x 520877441 x 499459989 x 37205
Negative: -1 x -371640745-5 x -74328149-7 x -53091535-35 x -10618307-49 x -7584505-245 x -1516901-1063 x -349615-1427 x -260435-5315 x -69923-7135 x -52087-7441 x -49945-9989 x -37205


How do I find the factor combinations of the number 371,640,745?

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 371,640,745, 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.

1 371,640,745
-1 -371,640,745

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 371,640,745.

Example:
1 x 371,640,745 = 371,640,745
and
-1 x -371,640,745 = 371,640,745
Notice both answers equal 371,640,745

With that explanation out of the way, let's continue. Next, we take the number 371,640,745 and divide it by 2:

371,640,745 ÷ 2 = 185,820,372.5

If the quotient is a whole number, then 2 and 185,820,372.5 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:

1 371,640,745
-1 -371,640,745

Now, we try dividing 371,640,745 by 3:

371,640,745 ÷ 3 = 123,880,248.3333

If the quotient is a whole number, then 3 and 123,880,248.3333 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:

1 371,640,745
-1 -371,640,745

Let's try dividing by 4:

371,640,745 ÷ 4 = 92,910,186.25

If the quotient is a whole number, then 4 and 92,910,186.25 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:

1 371,640,745
-1 371,640,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492451,0631,4275,3157,1357,4419,98937,20549,94552,08769,923260,435349,6151,516,9017,584,50510,618,30753,091,53574,328,149371,640,745
-1-5-7-35-49-245-1,063-1,427-5,315-7,135-7,441-9,989-37,205-49,945-52,087-69,923-260,435-349,615-1,516,901-7,584,505-10,618,307-53,091,535-74,328,149-371,640,745

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