Q: What are the factor combinations of the number 464,152,645?

 A:
Positive:   1 x 4641526455 x 9283052911 x 4219569555 x 84391392477 x 1873853407 x 13623512385 x 3747717035 x 27247
Negative: -1 x -464152645-5 x -92830529-11 x -42195695-55 x -8439139-2477 x -187385-3407 x -136235-12385 x -37477-17035 x -27247


How do I find the factor combinations of the number 464,152,645?

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 464,152,645, 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.

1 464,152,645
-1 -464,152,645

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 464,152,645.

Example:
1 x 464,152,645 = 464,152,645
and
-1 x -464,152,645 = 464,152,645
Notice both answers equal 464,152,645

With that explanation out of the way, let's continue. Next, we take the number 464,152,645 and divide it by 2:

464,152,645 ÷ 2 = 232,076,322.5

If the quotient is a whole number, then 2 and 232,076,322.5 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:

1 464,152,645
-1 -464,152,645

Now, we try dividing 464,152,645 by 3:

464,152,645 ÷ 3 = 154,717,548.3333

If the quotient is a whole number, then 3 and 154,717,548.3333 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:

1 464,152,645
-1 -464,152,645

Let's try dividing by 4:

464,152,645 ÷ 4 = 116,038,161.25

If the quotient is a whole number, then 4 and 116,038,161.25 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:

1 464,152,645
-1 464,152,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552,4773,40712,38517,03527,24737,477136,235187,3858,439,13942,195,69592,830,529464,152,645
-1-5-11-55-2,477-3,407-12,385-17,035-27,247-37,477-136,235-187,385-8,439,139-42,195,695-92,830,529-464,152,645

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