Q: What are the factor combinations of the number 46,116,301?

 A:
Positive:   1 x 461163017 x 658804311 x 419239149 x 94114967 x 68830377 x 598913469 x 98329539 x 85559737 x 625731277 x 361133283 x 140475159 x 8939
Negative: -1 x -46116301-7 x -6588043-11 x -4192391-49 x -941149-67 x -688303-77 x -598913-469 x -98329-539 x -85559-737 x -62573-1277 x -36113-3283 x -14047-5159 x -8939


How do I find the factor combinations of the number 46,116,301?

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 46,116,301, 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 46,116,301
-1 -46,116,301

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 46,116,301.

Example:
1 x 46,116,301 = 46,116,301
and
-1 x -46,116,301 = 46,116,301
Notice both answers equal 46,116,301

With that explanation out of the way, let's continue. Next, we take the number 46,116,301 and divide it by 2:

46,116,301 ÷ 2 = 23,058,150.5

If the quotient is a whole number, then 2 and 23,058,150.5 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 46,116,301
-1 -46,116,301

Now, we try dividing 46,116,301 by 3:

46,116,301 ÷ 3 = 15,372,100.3333

If the quotient is a whole number, then 3 and 15,372,100.3333 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 46,116,301
-1 -46,116,301

Let's try dividing by 4:

46,116,301 ÷ 4 = 11,529,075.25

If the quotient is a whole number, then 4 and 11,529,075.25 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 46,116,301
-1 46,116,301
Keep dividing by the next highest number until you cannot divide anymore.

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

17114967774695397371,2773,2835,1598,93914,04736,11362,57385,55998,329598,913688,303941,1494,192,3916,588,04346,116,301
-1-7-11-49-67-77-469-539-737-1,277-3,283-5,159-8,939-14,047-36,113-62,573-85,559-98,329-598,913-688,303-941,149-4,192,391-6,588,043-46,116,301

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