Q: What are the factor combinations of the number 464,006,615?

 A:
Positive:   1 x 4640066155 x 9280132373 x 6356255365 x 1271251
Negative: -1 x -464006615-5 x -92801323-73 x -6356255-365 x -1271251


How do I find the factor combinations of the number 464,006,615?

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 464,006,615, 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.

1 464,006,615
-1 -464,006,615

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 464,006,615.

Example:
1 x 464,006,615 = 464,006,615
and
-1 x -464,006,615 = 464,006,615
Notice both answers equal 464,006,615

With that explanation out of the way, let's continue. Next, we take the number 464,006,615 and divide it by 2:

464,006,615 ÷ 2 = 232,003,307.5

If the quotient is a whole number, then 2 and 232,003,307.5 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:

1 464,006,615
-1 -464,006,615

Now, we try dividing 464,006,615 by 3:

464,006,615 ÷ 3 = 154,668,871.6667

If the quotient is a whole number, then 3 and 154,668,871.6667 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:

1 464,006,615
-1 -464,006,615

Let's try dividing by 4:

464,006,615 ÷ 4 = 116,001,653.75

If the quotient is a whole number, then 4 and 116,001,653.75 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:

1 464,006,615
-1 464,006,615
Keep dividing by the next highest number until you cannot divide anymore.

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

15733651,271,2516,356,25592,801,323464,006,615
-1-5-73-365-1,271,251-6,356,255-92,801,323-464,006,615

More Examples

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