Q: What are the factor combinations of the number 640,162,315?

 A:
Positive:   1 x 6401623155 x 12803246313 x 4924325541 x 1561371565 x 984865189 x 7192835205 x 3122743445 x 1438567533 x 12010551157 x 5532952665 x 2402112699 x 2371853649 x 1754355785 x 11065913495 x 4743718245 x 35087
Negative: -1 x -640162315-5 x -128032463-13 x -49243255-41 x -15613715-65 x -9848651-89 x -7192835-205 x -3122743-445 x -1438567-533 x -1201055-1157 x -553295-2665 x -240211-2699 x -237185-3649 x -175435-5785 x -110659-13495 x -47437-18245 x -35087


How do I find the factor combinations of the number 640,162,315?

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 640,162,315, 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.

1 640,162,315
-1 -640,162,315

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 640,162,315.

Example:
1 x 640,162,315 = 640,162,315
and
-1 x -640,162,315 = 640,162,315
Notice both answers equal 640,162,315

With that explanation out of the way, let's continue. Next, we take the number 640,162,315 and divide it by 2:

640,162,315 ÷ 2 = 320,081,157.5

If the quotient is a whole number, then 2 and 320,081,157.5 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:

1 640,162,315
-1 -640,162,315

Now, we try dividing 640,162,315 by 3:

640,162,315 ÷ 3 = 213,387,438.3333

If the quotient is a whole number, then 3 and 213,387,438.3333 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:

1 640,162,315
-1 -640,162,315

Let's try dividing by 4:

640,162,315 ÷ 4 = 160,040,578.75

If the quotient is a whole number, then 4 and 160,040,578.75 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:

1 640,162,315
-1 640,162,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15134165892054455331,1572,6652,6993,6495,78513,49518,24535,08747,437110,659175,435237,185240,211553,2951,201,0551,438,5673,122,7437,192,8359,848,65115,613,71549,243,255128,032,463640,162,315
-1-5-13-41-65-89-205-445-533-1,157-2,665-2,699-3,649-5,785-13,495-18,245-35,087-47,437-110,659-175,435-237,185-240,211-553,295-1,201,055-1,438,567-3,122,743-7,192,835-9,848,651-15,613,715-49,243,255-128,032,463-640,162,315

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