Q: What are the factor combinations of the number 464,381,575?

 A:
Positive:   1 x 4643815755 x 928763157 x 6634022525 x 1857526335 x 1326804549 x 9477175175 x 2653609245 x 18954351225 x 379087
Negative: -1 x -464381575-5 x -92876315-7 x -66340225-25 x -18575263-35 x -13268045-49 x -9477175-175 x -2653609-245 x -1895435-1225 x -379087


How do I find the factor combinations of the number 464,381,575?

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 464,381,575, 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.

1 464,381,575
-1 -464,381,575

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 464,381,575.

Example:
1 x 464,381,575 = 464,381,575
and
-1 x -464,381,575 = 464,381,575
Notice both answers equal 464,381,575

With that explanation out of the way, let's continue. Next, we take the number 464,381,575 and divide it by 2:

464,381,575 ÷ 2 = 232,190,787.5

If the quotient is a whole number, then 2 and 232,190,787.5 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:

1 464,381,575
-1 -464,381,575

Now, we try dividing 464,381,575 by 3:

464,381,575 ÷ 3 = 154,793,858.3333

If the quotient is a whole number, then 3 and 154,793,858.3333 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:

1 464,381,575
-1 -464,381,575

Let's try dividing by 4:

464,381,575 ÷ 4 = 116,095,393.75

If the quotient is a whole number, then 4 and 116,095,393.75 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:

1 464,381,575
-1 464,381,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,225379,0871,895,4352,653,6099,477,17513,268,04518,575,26366,340,22592,876,315464,381,575
-1-5-7-25-35-49-175-245-1,225-379,087-1,895,435-2,653,609-9,477,175-13,268,045-18,575,263-66,340,225-92,876,315-464,381,575

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