Q: What are the factor combinations of the number 464,724,685?

 A:
Positive:   1 x 4647246855 x 92944937337 x 1379005389 x 1194665709 x 6554651685 x 2758011945 x 2389333545 x 131093
Negative: -1 x -464724685-5 x -92944937-337 x -1379005-389 x -1194665-709 x -655465-1685 x -275801-1945 x -238933-3545 x -131093


How do I find the factor combinations of the number 464,724,685?

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 464,724,685, 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.

1 464,724,685
-1 -464,724,685

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 464,724,685.

Example:
1 x 464,724,685 = 464,724,685
and
-1 x -464,724,685 = 464,724,685
Notice both answers equal 464,724,685

With that explanation out of the way, let's continue. Next, we take the number 464,724,685 and divide it by 2:

464,724,685 ÷ 2 = 232,362,342.5

If the quotient is a whole number, then 2 and 232,362,342.5 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:

1 464,724,685
-1 -464,724,685

Now, we try dividing 464,724,685 by 3:

464,724,685 ÷ 3 = 154,908,228.3333

If the quotient is a whole number, then 3 and 154,908,228.3333 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:

1 464,724,685
-1 -464,724,685

Let's try dividing by 4:

464,724,685 ÷ 4 = 116,181,171.25

If the quotient is a whole number, then 4 and 116,181,171.25 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:

1 464,724,685
-1 464,724,685
Keep dividing by the next highest number until you cannot divide anymore.

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

153373897091,6851,9453,545131,093238,933275,801655,4651,194,6651,379,00592,944,937464,724,685
-1-5-337-389-709-1,685-1,945-3,545-131,093-238,933-275,801-655,465-1,194,665-1,379,005-92,944,937-464,724,685

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