Find the Number of factors of 88400?
Answers
Step-by-step explanation:
1, 2, 4, 5, 8, 10, 13, 16, 17, 20, 25, 26, 34, 40, 50, 52, 65, 68, 80, 85, 100, 104, 130, 136, 170, 200, 208, 221, 260, 272, 325, 340, 400, 425, 442, 520, 650, 680, 850, 884, 1040, 1105, 1300, 1360, 1700, 1768, 2210, 2600, 3400, 3536, 4420, 5200, 5525, 6800, 8840, 11050, 17680, 22100, 44200, 88400
Number 88400
Factorization: 88400 = 24 × 52 × 13 × 17
Radix mapping: 8840010 = 101011001010100002 = 2545208 = 1595016
Step-by-step explanation:
How do I find the factors or divisors of the number 88,400?
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 factors of larger numbers. To find the factors of the number 88,400, it is easiest to start from the outside in. Here's what we mean:
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.
1 88,400
Next, we take the number 88,400 and divide it by 2.
In this case, 2 ÷ 88,400 = 44,200
If the quotient is a whole number, then 2 and 44,200 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.
1 2 44,200 88,400
Now, we try dividing 88,400 by 3.
88,400 ÷ 3 = 29,466.6667
If the quotient is a whole number, then 3 and 29,466.6667 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.
Here is what our table should look like at this step:
1 2 44,200 88,400
Let's try dividing by 4.
88,400 ÷ 4 = 22,100
If the quotient is a whole number, then 4 and 22,100 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.
Here is what our table should look like at this step:
1 2 4 22,100 44,200 88,400
We keep dividing by the next largest number, in this case the number 5. If the quotient of 5 ÷ 88,400 is a whole number, then 5 and your quotient are factors of the number.
Keep dividing by the next highest number until you cannot divide anymore.
What you will end up with is this table:
1 2 4 5 8 10 13 16 17 20 25 26 34 40 50 52 65 68 80 85 100 104 130 136 170 200 208 221 260 272 325 340 400 425 442 520 650 680 850 884 1,040 1,105 1,300 1,360 1,700 1,768 2,210 2,600 3,400 3,536 4,420 5,200 5,525 6,800 8,840 11,050 17,680 22,100 44,200 88,400
All of the numbers in the table above can be evenly divided into the number 88,400.
Finally, for your reference, here are all of the divisor combinations of the number 88,400:
1 x 884002 x 442004 x 221005 x 176808 x 1105010 x 884013 x 680016 x 552517 x 520020 x 442025 x 353626 x 340034 x 260040 x 221050 x 176852 x 170065 x 136068 x 130080 x 110585 x 1040100 x 884104 x 850130 x 680136 x 650170 x 520200 x 442208 x 425221 x 400260 x 340272 x 325