Q: What are the factor combinations of the number 7,377,643?

 A:
Positive:   1 x 73776437 x 105394913 x 56751117 x 43397919 x 38829791 x 81073119 x 61997133 x 55471221 x 33383247 x 29869251 x 29393323 x 228411547 x 47691729 x 42671757 x 41992261 x 3263
Negative: -1 x -7377643-7 x -1053949-13 x -567511-17 x -433979-19 x -388297-91 x -81073-119 x -61997-133 x -55471-221 x -33383-247 x -29869-251 x -29393-323 x -22841-1547 x -4769-1729 x -4267-1757 x -4199-2261 x -3263


How do I find the factor combinations of the number 7,377,643?

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 7,377,643, 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 7,377,643
-1 -7,377,643

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 7,377,643.

Example:
1 x 7,377,643 = 7,377,643
and
-1 x -7,377,643 = 7,377,643
Notice both answers equal 7,377,643

With that explanation out of the way, let's continue. Next, we take the number 7,377,643 and divide it by 2:

7,377,643 ÷ 2 = 3,688,821.5

If the quotient is a whole number, then 2 and 3,688,821.5 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 7,377,643
-1 -7,377,643

Now, we try dividing 7,377,643 by 3:

7,377,643 ÷ 3 = 2,459,214.3333

If the quotient is a whole number, then 3 and 2,459,214.3333 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 7,377,643
-1 -7,377,643

Let's try dividing by 4:

7,377,643 ÷ 4 = 1,844,410.75

If the quotient is a whole number, then 4 and 1,844,410.75 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 7,377,643
-1 7,377,643
Keep dividing by the next highest number until you cannot divide anymore.

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

17131719911191332212472513231,5471,7291,7572,2613,2634,1994,2674,76922,84129,39329,86933,38355,47161,99781,073388,297433,979567,5111,053,9497,377,643
-1-7-13-17-19-91-119-133-221-247-251-323-1,547-1,729-1,757-2,261-3,263-4,199-4,267-4,769-22,841-29,393-29,869-33,383-55,471-61,997-81,073-388,297-433,979-567,511-1,053,949-7,377,643

More Examples

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