Prime Factorization of 400000

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Prime Factors of

What is the prime factorization of 400,000?

Answer

Prime Factors of 400,000:
2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5

400000 = 27 × 55 · composite · 48 factors · 12 prime factors counting repeats

Division ladder

4000002
2000002
1000002
500002
250002
⋮
55
1
all 12 steps
4000002
2000002
1000002
500002
250002
125002
62502
31255
6255
1255
255
55
1

Left: what is left; right: the smallest prime that divides it; 1 at the bottom.

Second way — factor tree
4000002200000210000025000022500021250026250231255625512552555

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Recalculate with different values ↑

Prime Factorization Table

NumberPrime Factors
170,00024 × 54 × 17
180,00025 × 32 × 54
190,00024 × 54 × 19
200,00026 × 55
210,00024 × 3 × 54 × 7
220,00025 × 54 × 11
250,00024 × 56
260,00025 × 54 × 13
290,00024 × 54 × 29
300,00025 × 3 × 55
310,00024 × 54 × 31
320,00029 × 54
340,00025 × 54 × 17
360,00026 × 32 × 54
390,00024 × 3 × 54 × 13
400,00027 × 55
410,00024 × 54 × 41
420,00025 × 3 × 54 × 7
430,00024 × 54 × 43
440,00026 × 54 × 11
460,00025 × 54 × 23
480,00028 × 3 × 54
490,00024 × 54 × 72
500,00025 × 56
510,00024 × 3 × 54 × 17
519,7502 × 33 × 53 × 7 × 11
530,00024 × 54 × 53
540,00025 × 33 × 54
550,00024 × 55 × 11
560,00027 × 54 × 7

FAQ

What is the prime factorization of 400,000?

Prime Factors of 400,000: 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5

How many prime factors does 400,000 have?

Number 400,000 has 12 prime factors counting repeats; 2 different: 2 and 5.

What is the prime factorization of 400,000 in exponential form?

The prime factorization of the number 400,000 in the exponential form is: 2⁷ × 5⁵

See Also