Q: What are the factor combinations of the number 46,688,765?

 A:
Positive:   1 x 466887655 x 933775359 x 791335101 x 462265295 x 158267505 x 924531567 x 297955959 x 7835
Negative: -1 x -46688765-5 x -9337753-59 x -791335-101 x -462265-295 x -158267-505 x -92453-1567 x -29795-5959 x -7835


How do I find the factor combinations of the number 46,688,765?

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 46,688,765, 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 46,688,765
-1 -46,688,765

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 46,688,765.

Example:
1 x 46,688,765 = 46,688,765
and
-1 x -46,688,765 = 46,688,765
Notice both answers equal 46,688,765

With that explanation out of the way, let's continue. Next, we take the number 46,688,765 and divide it by 2:

46,688,765 ÷ 2 = 23,344,382.5

If the quotient is a whole number, then 2 and 23,344,382.5 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 46,688,765
-1 -46,688,765

Now, we try dividing 46,688,765 by 3:

46,688,765 ÷ 3 = 15,562,921.6667

If the quotient is a whole number, then 3 and 15,562,921.6667 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 46,688,765
-1 -46,688,765

Let's try dividing by 4:

46,688,765 ÷ 4 = 11,672,191.25

If the quotient is a whole number, then 4 and 11,672,191.25 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 46,688,765
-1 46,688,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15591012955051,5675,9597,83529,79592,453158,267462,265791,3359,337,75346,688,765
-1-5-59-101-295-505-1,567-5,959-7,835-29,795-92,453-158,267-462,265-791,335-9,337,753-46,688,765

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